n=11

• ID: PolyDB #100, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 8, 10], [6, 7, 8], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100010, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100011, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100012, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100021, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100022, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100024, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100026, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100028, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100031, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100032, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100033, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100034, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100035, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100036, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100038, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100039, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100040, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100041, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100042, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100043, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100044, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100045, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100047, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100075, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100076, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100077, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100078, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100080, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100081, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100082, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 10, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100084, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100086, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100087, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100088, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100089, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100090, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100091, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100092, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100095, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100096, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100097, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100098, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100099, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100100, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100101, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100104, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 6, 10], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100105, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100106, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100107, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 6, 10], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100108, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 10], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100110, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100112, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100113, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100114, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100115, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100116, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 10], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100117, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 10], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100118, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 10], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100242, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100243, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100244, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100245, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100247, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100248, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100249, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100260, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100261, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100262, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100263, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100265, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100266, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100267, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100276, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100277, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100278, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100284, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100294, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100295, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100296, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100297, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100299, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100300, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100301, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100303, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100366, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100404, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100405, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100406, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100408, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100409, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100410, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100411, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100412, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100413, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100414, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100415, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100416, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100417, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100419, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100420, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100421, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100422, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100423, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100424, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100425, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100426, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100427, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100429, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #100430, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100431, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100434, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100435, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100436, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10044, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100443, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 7, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100445, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100446, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100447, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100450, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100451, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100452, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100453, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100454, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100455, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100456, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100457, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100459, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100461, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100462, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100463, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 9, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100464, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100465, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100469, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10047, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100472, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 7, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100476, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100477, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100478, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100479, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [6, 7, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100482, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 8, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 11], [6, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10051, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10053, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100532, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100533, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100535, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100536, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100537, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100539, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10054, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100540, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100547, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100548, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100549, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10055, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100551, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100552, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100554, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100555, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10056, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100561, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100562, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100564, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100566, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100567, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10058, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10059, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10060, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10063, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10065, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10066, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10067, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10068, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10073, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100742, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10075, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100751, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100759, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10076, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100761, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100763, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10077, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100793, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10080, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100800, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10081, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100810, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100812, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100814, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10082, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100826, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10083, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100831, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100835, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10084, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100852, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100857, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100859, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10086, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100861, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100867, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10087, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100870, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10088, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10089, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100895, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100899, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10090, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100900, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100903, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10091, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100911, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #100912, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10092, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #100920, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10093, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10094, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10095, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10096, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10097, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10098, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10099, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1010, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [3, 10, 11], [4, 7, 10], [5, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10100, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101004, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101005, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101006, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101008, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101009, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10101, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101010, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101011, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101014, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101016, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10102, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101025, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101029, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101030, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101032, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101033, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101034, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101037, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101038, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101039, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10105, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101050, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101051, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101065, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101066, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101067, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101068, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101071, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101072, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101077, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101080, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101082, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101083, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101085, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101086, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101090, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101091, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101092, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101094, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101095, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101096, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101097, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101144, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101145, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101147, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101149, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101151, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #101159, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101162, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101163, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101171, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10119, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1012, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [5, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10120, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10121, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10124, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101250, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101251, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101254, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101255, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101258, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101259, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101260, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101261, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101263, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101274, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101279, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101284, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10129, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101292, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101295, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101296, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101298, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101307, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101308, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101310, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101311, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101312, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101320, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 11], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101321, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101325, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101327, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101335, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101369, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10137, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101370, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101371, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101373, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101374, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101375, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10138, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101382, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101383, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101384, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101386, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101387, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101388, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101396, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101398, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101399, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101400, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [4, 9, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101411, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101413, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101414, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101416, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101417, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101418, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101420, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101422, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101431, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101433, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101434, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101436, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101438, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101451, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101454, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101455, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101456, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #101459, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101460, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101461, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101464, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101468, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101470, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101471, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101472, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101474, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101475, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101476, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101478, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101479, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101481, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101482, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101483, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101485, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101486, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101487, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101488, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101489, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101490, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101491, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101492, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101493, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101495, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101498, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101499, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101501, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101502, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101503, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1016, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [3, 10, 11], [4, 7, 10], [4, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101656, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101674, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101682, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101683, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 9, 11], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101684, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101685, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101687, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101692, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101695, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [7, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101696, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101698, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101706, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101707, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101708, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101722, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101724, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101730, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101732, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101738, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101740, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101742, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101756, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 3
    Counterexample: no
    
• ID: PolyDB #101769, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101770, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101771, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101773, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101774, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101775, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101777, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101778, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101786, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101787, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101789, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101790, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101791, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101792, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101794, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101795, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101796, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1018, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101802, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101803, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101807, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101810, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101811, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101812, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101820, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101821, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101823, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101824, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101862, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101863, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101864, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101866, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101867, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101868, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #101870, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101871, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101872, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101874, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101880, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101881, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101882, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101883, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101885, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101886, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101887, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101889, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101890, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101891, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101892, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101894, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101895, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #101896, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101897, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101905, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101906, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101907, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101909, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101910, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101911, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101913, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101914, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101917, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101921, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101922, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101923, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101925, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101926, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101927, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101928, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10193, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 8, 11], [6, 7, 8], [7, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101930, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101932, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101938, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101939, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101941, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101942, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101943, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101945, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101946, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101947, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101953, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101954, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101956, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101957, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101960, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101961, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101962, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #101964, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101965, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101967, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101968, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101969, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101970, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101971, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101972, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101973, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101975, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101976, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101977, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101978, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10198, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 8, 11], [6, 7, 8], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101980, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101983, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101984, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101985, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101986, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101987, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101993, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101994, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101996, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #101997, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #101998, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102003, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102004, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102005, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102006, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102008, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102009, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10201, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102010, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102017, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102018, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102019, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10202, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102021, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102022, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10205, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10206, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102060, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102066, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102067, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102068, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10207, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102075, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102076, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102082, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102084, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102092, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102094, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102095, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102097, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102099, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10210, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102101, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102102, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102103, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102105, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102107, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102109, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102110, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102112, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102113, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102159, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102170, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102173, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102177, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102179, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102189, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102192, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102193, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102197, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1022, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [3, 10, 11], [4, 7, 10], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102206, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102207, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10221, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [4, 5, 9], [4, 10, 11], [6, 7, 8], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10222, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [4, 5, 9], [6, 7, 8], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102254, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102255, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102256, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102258, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102259, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102261, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102262, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102263, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102270, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102271, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102272, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102274, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102275, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102277, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102278, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102279, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102286, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102287, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102288, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102290, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102292, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102294, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102295, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102296, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1023, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [2, 10, 11], [3, 5, 8], [3, 7, 9], [4, 7, 10], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102303, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102304, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102306, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102309, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102311, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102313, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102314, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102315, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102322, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102324, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102327, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102328, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102329, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102331, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102332, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102333, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102335, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102336, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102337, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102338, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102348, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102349, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102352, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102353, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102355, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102356, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102358, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102360, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    Counterexample: no
    
• ID: PolyDB #102361, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102364, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102366, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102367, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102368, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102370, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102372, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102373, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102374, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102377, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102383, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102385, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10239, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102390, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102392, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102394, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102396, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102400, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102402, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102404, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102406, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102407, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102408, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102409, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10241, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102410, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102412, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102414, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102416, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10242, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102421, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102423, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102427, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102429, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102436, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102439, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102442, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102443, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102444, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102446, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10245, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102450, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102452, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102454, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10246, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10254, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10256, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102562, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102564, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102565, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102567, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102568, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10257, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102570, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102571, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102572, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [6, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102579, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10258, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102581, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102584, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102585, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102588, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102589, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10259, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102590, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102592, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102593, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102594, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102603, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102604, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102605, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102606, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102613, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10262, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102620, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102621, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102624, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10263, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10266, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102672, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102673, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102676, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102677, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102680, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102681, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102682, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102694, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102695, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102699, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10270, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102702, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102703, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102705, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #102706, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102707, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102708, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102711, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #102714, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102715, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102716, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10272, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10273, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102738, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10274, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102740, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102743, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102744, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102745, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102746, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102747, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102753, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102754, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102755, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102757, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102758, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10276, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102760, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102761, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102767, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102768, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102769, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102771, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102772, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102775, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102777, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102778, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10278, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10279, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1028, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [2, 10, 11], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102805, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102806, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10281, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102818, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102819, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10282, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102820, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102821, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102824, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102828, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102829, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102830, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #102832, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10284, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102841, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102846, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102849, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10285, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102850, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102852, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102853, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102854, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10286, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102866, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102869, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10287, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102870, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102872, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102873, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102874, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102876, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10288, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102881, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102883, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102884, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102885, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102886, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102887, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102888, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102889, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102891, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102892, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102895, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102896, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102897, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102898, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102899, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1029, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102900, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102901, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102902, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102903, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102913, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102914, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102916, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102917, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102919, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102926, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102927, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102928, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10293, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102930, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102931, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102932, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102934, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102935, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10294, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102941, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102942, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102944, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102946, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102949, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10295, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102953, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102954, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102955, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102957, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102958, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102959, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102960, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102961, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102962, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102964, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102965, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10297, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102971, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102972, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102974, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102975, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102977, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102978, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10298, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102980, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #102983, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #102984, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10299, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 10], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10300, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103004, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103005, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103006, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103007, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10301, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103010, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103012, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103013, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103014, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103016, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103017, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103018, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10302, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10303, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103031, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103032, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103034, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103035, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103037, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103038, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103039, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10304, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103043, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10305, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103055, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103059, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10306, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103060, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103067, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103068, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10307, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103071, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103072, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10308, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103081, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103083, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103085, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103086, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103087, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103088, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10309, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103090, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103091, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103093, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103094, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103095, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103096, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103097, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103098, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103099, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1031, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [5, 9, 11], [6, 7, 8], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103100, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103101, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103102, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103103, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103105, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103108, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10311, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103110, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103111, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103117, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103118, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10312, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103120, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103122, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103123, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103129, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10313, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103130, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103132, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103133, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103135, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103138, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103139, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10314, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10315, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10316, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10317, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10319, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1032, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [3, 10, 11], [4, 7, 10], [4, 8, 11], [5, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10320, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103205, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103207, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103208, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103209, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10321, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103210, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103211, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103212, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103213, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103215, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103216, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103217, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10322, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103220, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103222, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103223, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103225, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103226, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103228, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103229, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10323, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103230, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103231, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103232, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103235, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103237, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10324, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103241, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103243, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103245, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103247, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10325, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103251, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103253, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103255, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103259, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10326, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103260, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103262, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103264, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103267, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103269, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10327, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103271, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103273, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103275, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103277, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103279, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103281, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103283, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103285, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103289, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10329, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103295, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103297, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103299, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1033, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 9], [2, 10, 11], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [5, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10330, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103301, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103303, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103307, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103309, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10331, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103314, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103316, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103318, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10332, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103320, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103322, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103324, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103326, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103328, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10333, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103330, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103332, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103334, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10334, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103340, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103348, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10335, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103350, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10336, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103360, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103362, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103364, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103368, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103371, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103372, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103374, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103377, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103379, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103388, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103389, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103391, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103393, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103396, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103398, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1034, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [5, 9, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103400, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103409, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103410, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103411, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103414, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103416, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103419, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103421, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103422, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103464, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103465, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103466, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103467, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103469, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103470, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103472, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103474, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103476, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103477, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103485, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103486, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103487, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103489, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103490, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103492, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103494, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103495, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103496, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103499, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1035, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103500, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103501, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103502, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103503, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103509, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10351, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103510, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103512, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103513, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103514, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103524, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103525, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103526, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103528, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103529, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10353, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 7, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103531, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103532, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103533, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103535, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103536, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103538, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103539, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103541, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103542, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103543, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103544, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103546, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103547, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103549, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103550, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103551, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103552, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103553, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103554, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103555, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103557, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103558, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103559, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103560, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103561, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103562, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103564, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103565, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103566, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103567, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103569, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103572, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103573, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103574, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103575, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103576, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103577, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103578, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103579, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103580, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103581, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103583, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103584, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103586, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103587, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103589, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103590, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103591, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103592, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103593, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103594, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103597, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103598, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103599, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1036, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [6, 7, 8], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103600, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103601, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103602, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103604, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103605, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103606, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103614, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103615, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103617, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103619, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103620, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103621, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103623, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103624, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103625, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103627, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103628, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103629, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103630, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103631, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103632, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103633, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103634, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103635, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103642, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103643, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103646, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103649, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103650, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103653, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103695, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103696, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103697, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103698, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1037, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103700, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103701, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103702, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103703, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103704, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103705, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103706, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103707, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103708, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103709, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103710, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103711, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103712, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103713, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103714, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103715, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103716, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103717, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103718, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103719, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103720, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103721, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103723, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103724, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103725, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103727, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103728, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103729, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103731, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103732, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103733, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103734, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103735, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103736, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103737, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103738, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103739, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103740, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103742, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103743, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103745, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103746, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103747, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103755, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103758, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103759, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103761, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103762, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1038, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 9], [2, 10, 11], [3, 5, 8], [3, 7, 9], [4, 7, 10], [4, 8, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103803, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103805, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103807, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103808, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10381, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 6, 11], [5, 10, 11], [6, 7, 8], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103817, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103819, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103820, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103823, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103824, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103826, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103827, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103835, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103838, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103840, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103841, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103842, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103843, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103845, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103847, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103848, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103850, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103851, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103852, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103853, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103854, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103855, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103856, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103857, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103859, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103861, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103862, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103863, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103864, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103865, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103866, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103874, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103876, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103877, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103879, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103880, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103881, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103883, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103884, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103886, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103888, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103889, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103890, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103891, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103892, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103893, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103894, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103895, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103896, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103898, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103899, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103900, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103901, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103902, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103906, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103909, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103910, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103923, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103926, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103927, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103931, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103932, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103936, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103945, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103950, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103951, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103954, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103955, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103956, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103960, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103971, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103974, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103975, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103979, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #103990, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103991, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103992, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103994, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #103995, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103997, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103998, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #103999, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104001, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104002, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104010, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104012, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104013, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104015, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104016, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104018, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104020, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104021, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104022, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104024, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104026, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104027, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104028, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104031, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104032, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104034, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104036, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104037, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104038, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104039, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104040, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104041, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104082, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104083, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104084, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104085, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104087, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104088, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104089, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104090, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104092, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104093, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104094, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104095, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1041, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 6, 11], [4, 8, 9], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104104, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104105, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104106, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104107, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104109, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104110, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104111, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104112, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104114, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104115, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104124, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104125, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104126, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104127, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104129, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104130, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104131, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104132, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104134, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104135, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104136, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104138, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104139, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104141, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104143, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104145, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104147, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104149, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104151, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104153, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104154, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104155, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104156, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104157, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104158, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104159, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104160, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104161, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104163, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104164, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104166, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104168, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104169, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104170, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104171, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104173, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104174, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104175, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104176, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #104177, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104178, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104179, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104180, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104181, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104183, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104184, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104185, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104186, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104187, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104188, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104189, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104190, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104191, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104192, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104193, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104196, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104197, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104198, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104199, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104200, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104201, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104202, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104203, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104204, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104205, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104206, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104207, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104209, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104210, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104212, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104214, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104216, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104217, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104220, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104221, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104224, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104225, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104227, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104231, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104232, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104234, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104235, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104237, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104238, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104240, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104241, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104242, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104243, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104245, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104247, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104248, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104249, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104250, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104251, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104252, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104253, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104254, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104255, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104259, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104261, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104269, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104283, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104286, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104287, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104289, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104290, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104291, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104293, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104294, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104296, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104297, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104299, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104300, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104302, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104303, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104304, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104305, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104306, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104308, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10431, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104310, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104311, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104313, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104315, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104316, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104318, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104319, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10432, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 8, 11], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104320, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104322, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104323, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104325, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104326, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104327, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104329, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104330, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104331, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104332, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104333, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104334, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104335, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104336, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104337, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104338, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104340, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104341, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104342, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104343, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104344, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104345, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104346, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104347, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104348, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104349, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10435, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104350, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104358, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104359, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104360, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104361, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104364, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104365, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104367, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104369, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10437, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104370, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104372, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104373, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104374, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104375, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104376, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104377, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104378, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104379, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104380, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104381, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104382, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104384, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104386, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104387, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104388, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104389, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104390, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104391, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104392, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104393, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104397, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104398, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104399, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1044, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 6, 11], [4, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104400, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104401, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104402, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104403, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104404, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104405, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104406, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104407, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104408, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104409, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104411, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104412, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104415, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104418, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104419, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104420, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104422, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104423, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104424, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104426, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104427, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104429, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104430, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104431, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104434, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104435, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104436, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104437, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104438, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104439, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104441, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104442, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104444, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104445, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104448, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104449, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104450, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104451, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104454, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104456, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104457, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104458, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104460, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104461, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104462, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104463, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104464, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104465, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104466, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104467, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104468, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104469, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104470, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104471, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104472, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104473, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104475, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104476, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104477, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104478, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104479, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10448, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104480, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104481, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104482, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104483, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104488, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104490, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104491, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104492, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104493, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104494, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104495, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104496, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104497, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104498, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104499, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104500, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104501, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104502, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104504, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104505, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10451, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10452, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10453, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10454, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104547, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104548, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104549, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10455, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104550, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104552, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104553, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104554, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104555, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104557, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104558, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104559, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10456, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104560, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104568, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104569, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10457, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104570, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104571, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104573, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104574, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104575, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104577, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104578, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104586, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104587, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104588, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104589, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10459, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104591, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104592, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104593, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104595, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104596, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104597, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10460, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104600, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104604, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104605, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104606, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104607, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104608, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104609, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10461, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104610, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104611, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104614, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104615, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104617, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104618, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104619, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104620, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104621, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104622, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104623, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104624, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104625, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104626, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104627, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104628, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104629, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104630, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104631, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104632, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104633, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104634, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104637, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104638, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10464, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104640, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104641, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104649, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10465, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104655, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104656, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104659, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10466, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104660, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104661, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104663, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104664, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104666, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104668, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104669, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10467, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104670, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104671, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104672, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104673, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104675, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104677, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104678, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10468, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104680, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104682, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104683, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104684, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104685, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104687, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104688, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10469, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104690, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104691, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104692, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104694, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104695, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104696, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104697, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104698, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104699, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10470, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104700, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104703, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104705, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104706, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104707, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104708, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10471, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104710, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104711, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104712, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104714, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104715, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104716, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10472, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104725, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104726, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104727, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104729, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104730, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104731, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104732, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104734, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104736, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104738, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104739, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10474, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104742, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104743, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104744, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104745, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104746, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104747, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104748, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104749, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10475, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104750, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104751, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104753, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104754, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104755, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104756, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104757, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104758, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104759, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10476, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104760, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104761, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104762, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104763, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104764, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104765, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104766, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104768, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104769, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10477, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104770, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104771, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104772, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104773, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104774, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104775, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104776, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104777, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104778, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104779, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10478, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104780, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104781, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 10], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104789, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10479, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104790, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104791, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104792, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104794, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104795, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104796, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104798, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104799, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10480, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104800, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104801, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104804, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104806, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104808, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104809, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10481, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104810, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104811, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104814, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104815, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104817, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104818, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104819, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10482, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104820, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104822, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104823, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104825, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104826, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104827, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104828, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104829, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10483, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104830, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104831, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104832, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104833, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104834, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104835, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104836, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104837, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104838, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104839, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104841, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104842, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104843, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104844, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104845, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104848, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10485, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104850, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104851, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104852, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104853, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104854, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104855, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104856, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104857, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10486, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104861, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104862, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104863, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104864, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104865, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104866, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104867, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104868, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104869, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10488, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104883, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104884, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104888, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10489, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104890, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104891, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104892, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104894, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104895, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104896, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104897, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104898, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104899, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10490, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104900, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104902, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104904, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104906, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104908, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104909, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10491, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104911, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104912, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104914, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104915, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104916, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104918, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104919, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104920, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104921, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104922, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104924, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104925, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104926, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104927, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104928, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104929, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10493, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104930, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104932, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104933, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104934, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104935, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104936, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104937, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104938, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104939, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10494, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104940, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104941, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104944, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104949, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104950, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104951, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104952, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104954, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104955, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104956, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104958, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104959, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10496, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104960, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104962, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104963, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104964, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104966, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104967, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104968, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104969, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10497, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104970, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104971, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104972, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104973, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104974, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104975, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104976, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104977, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104978, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104979, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10498, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104980, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104981, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 8, 9], [6, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104983, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104984, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104986, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104987, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104988, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10499, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104990, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #104991, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104992, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104993, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104994, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #104997, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104998, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #104999, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1050, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10500, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105000, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105001, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105002, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105003, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105004, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105005, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105006, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105007, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105008, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105009, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 8, 9], [5, 10, 11], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10501, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105010, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 8, 9], [6, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10502, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10503, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10505, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105050, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105051, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105052, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105054, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105055, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105056, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105058, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105059, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10506, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105060, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105068, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105069, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10507, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105070, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105072, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105073, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105074, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105076, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105077, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105078, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10508, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105087, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105088, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10509, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105090, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105092, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105094, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105095, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105096, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105097, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105099, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1051, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10510, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105100, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105102, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105103, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105104, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105105, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105108, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10511, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105110, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105114, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105116, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105118, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10512, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105121, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105122, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105124, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105125, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105126, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105127, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105128, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10513, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105130, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105131, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105133, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105134, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105135, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105136, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105137, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105138, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105139, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10514, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105140, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105141, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105144, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105145, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105147, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105148, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105149, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105150, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105151, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105152, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105153, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105154, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105155, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105157, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105158, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105159, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10516, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105160, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105161, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105162, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105163, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105164, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105165, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105166, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105167, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105168, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105169, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10517, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105170, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105171, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105172, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105173, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105174, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105175, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105176, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105179, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10518, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105180, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105182, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105183, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105184, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105185, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105186, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105187, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105188, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105189, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10519, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105190, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105191, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105192, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105193, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105194, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105195, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105196, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105197, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1052, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10520, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105201, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105202, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105204, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105205, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105206, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105208, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105209, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10521, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105210, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105212, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105213, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105214, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105218, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105221, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105222, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105224, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105225, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105226, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105227, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10523, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105236, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105237, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105238, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10524, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105242, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105243, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105245, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105246, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105247, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105248, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10525, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105251, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105252, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105253, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105254, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105255, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105256, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105257, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105259, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10526, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105260, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105261, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105262, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105263, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105264, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105266, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105268, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105269, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10527, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105270, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105271, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105272, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105273, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105274, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105276, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105278, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105279, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10528, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [1, 9, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105280, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105281, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105282, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105283, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105284, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105286, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105287, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105288, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105289, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105290, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105291, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105292, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105294, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105296, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105297, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105298, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105299, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105300, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105301, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105304, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105305, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105306, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105307, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105308, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105309, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105310, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [1, 9, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [4, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10533, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10534, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10535, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [4, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105353, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105356, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105359, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10536, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105360, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105361, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105363, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10537, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [4, 8, 10], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105378, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105382, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105383, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105384, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105387, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105388, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105389, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10539, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 8, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1054, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105400, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105403, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105410, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105411, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105412, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105414, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105415, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105416, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105417, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105420, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105421, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105422, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105424, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105425, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105426, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105427, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105428, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105429, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105430, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105431, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105432, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105435, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105436, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105437, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105438, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105439, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105440, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105441, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105442, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105443, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105444, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105447, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105449, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105451, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105452, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105453, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105454, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105456, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105457, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105458, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105459, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105460, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105461, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105462, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105464, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105466, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105467, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105468, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105469, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105472, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105474, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105475, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105484, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105485, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105486, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105488, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105489, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105490, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105491, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105494, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105495, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105497, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105498, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105499, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1055, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105500, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105501, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105502, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105503, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105504, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105507, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105508, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10551, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 10, 11], [4, 5, 9], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105511, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105512, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10552, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [4, 5, 9], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105520, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105522, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105525, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105526, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105527, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105529, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105530, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105531, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105533, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105534, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105535, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105536, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105545, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105548, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105550, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105551, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105553, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105554, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105557, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105560, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105561, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105562, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105563, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105564, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105565, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105566, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105569, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105570, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105571, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105572, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105573, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105574, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105575, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105576, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105577, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105578, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105587, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105589, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105590, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105591, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105593, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105594, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105596, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105597, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105598, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1056, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105602, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105603, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105604, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105607, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105608, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105609, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105610, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105611, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105612, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105613, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105615, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105616, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105617, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105618, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105619, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105620, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105622, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105623, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105624, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105625, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105627, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105628, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105629, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10563, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105631, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105632, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105633, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105634, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105635, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105636, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105637, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105638, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105641, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105642, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105643, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105644, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105646, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105647, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105650, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105651, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105660, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #105661, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105662, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105664, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105665, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105666, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105668, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105669, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105670, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105677, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105678, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105679, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105680, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105681, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105682, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105683, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105684, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105685, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105686, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105687, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105688, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105692, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105693, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105694, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105695, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105696, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105697, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105698, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105699, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105700, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105701, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105702, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105703, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105704, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105705, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105706, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105707, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105708, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105709, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105710, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105713, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105714, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105715, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105716, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105717, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105718, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105719, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105720, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105721, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105722, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105724, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105725, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105726, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105740, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105745, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105746, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105749, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105750, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105751, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105752, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105754, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105755, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105756, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105757, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105758, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105759, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105760, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105762, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105763, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105764, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105765, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105766, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105767, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105768, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105770, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105771, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105772, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105773, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105774, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105779, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105780, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105781, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105782, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105783, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105784, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105785, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105786, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105788, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105789, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105790, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105791, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105792, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105793, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105794, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105795, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105797, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105798, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105799, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10580, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105800, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105801, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105802, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105804, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105805, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105806, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105808, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105810, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105812, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105814, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105816, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105818, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105820, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105821, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105822, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105823, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105824, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105826, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105827, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105828, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105829, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105830, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105831, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105832, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105834, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105835, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105836, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105837, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105838, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105839, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10584, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105840, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105842, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105843, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105844, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105845, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105848, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105850, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105851, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105852, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105853, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105854, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105855, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105856, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105857, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105859, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105860, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105861, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105862, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105863, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105864, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105865, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105866, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105867, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105868, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105869, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105872, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105874, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105875, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105876, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105877, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105878, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105879, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10588, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105881, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105884, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105885, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105886, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105888, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10589, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105892, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105893, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 8, 9], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105897, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10590, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 7, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105900, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105901, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105903, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105904, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105905, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105907, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105909, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105911, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105912, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105913, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [5, 7, 10], [5, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105915, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105916, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105917, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105918, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [5, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105919, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105920, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [5, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105921, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105922, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105923, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 8, 9], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10593, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #105977, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 10], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105978, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105979, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105987, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 10], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105988, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #105989, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #105990, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 9], [3, 5, 8], [3, 7, 9], [3, 10, 11], [4, 8, 10], [6, 7, 8], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106005, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106006, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106008, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106009, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106010, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106012, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106013, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106014, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106015, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106016, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106017, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106018, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106019, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106020, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106021, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106022, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106024, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106025, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106027, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106028, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106030, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106031, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106032, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106033, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106034, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106035, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106036, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106037, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106038, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106039, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106041, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106042, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106043, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106045, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106046, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106047, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106048, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106049, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106050, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106051, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106052, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106053, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106054, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106056, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106057, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106058, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106059, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106060, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106062, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106063, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106065, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106066, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106067, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106068, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10607, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 7, 11], [4, 5, 9], [4, 10, 11], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106070, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106071, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106072, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106073, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106074, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106075, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106076, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106077, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106082, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106083, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106084, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106085, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106086, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106092, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106093, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106094, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106095, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106096, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106097, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106098, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106099, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1061, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106100, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106101, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106102, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106103, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106112, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106114, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106124, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106125, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106127, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106137, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106138, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106139, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106147, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106148, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106149, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106150, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #106152, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106153, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106154, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106155, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106157, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106159, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106160, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106161, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106162, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106164, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106166, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106167, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106168, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106169, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106170, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106171, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106172, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106180, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106181, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106182, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106183, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106185, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106186, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106187, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106188, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10619, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [6, 7, 8], [6, 9, 11], [7, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106190, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106191, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106192, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106193, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106194, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106195, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106196, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106198, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106200, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106202, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106204, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10621, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [4, 5, 9], [4, 10, 11], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106211, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 6, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106215, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106216, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 6, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10622, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 10, 11], [4, 5, 9], [6, 7, 8], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106223, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106230, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106233, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #106234, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106235, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106237, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106238, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106239, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106241, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106244, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106245, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106246, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106247, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106248, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106250, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106251, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106254, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106258, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106259, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106260, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106261, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106262, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106263, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106264, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106266, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106267, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106269, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106271, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106272, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106273, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106274, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106275, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106276, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106277, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106278, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106280, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106281, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106282, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106283, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106284, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106285, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106286, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106287, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106288, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106289, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106293, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106295, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106297, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106298, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106299, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106300, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106301, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106303, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106304, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106305, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10634, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [4, 5, 9], [4, 6, 11], [5, 10, 11], [6, 7, 8], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106345, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106346, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106347, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106350, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106351, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106352, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106353, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106362, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106363, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106364, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106365, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106367, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106369, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106370, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106379, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106381, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106383, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106385, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106386, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106392, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106394, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106396, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106397, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106399, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 10, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106400, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106401, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106402, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106404, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106405, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106406, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106407, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106408, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106409, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106412, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106415, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106416, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106417, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106418, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106419, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106420, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106421, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106422, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106423, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106424, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106425, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106426, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106427, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106428, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106429, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10643, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106430, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106431, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106432, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106433, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106434, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106435, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106436, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106437, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106438, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106439, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10644, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 10], [2, 5, 8], [2, 6, 10, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106440, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106441, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 7, 11], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106445, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106446, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106448, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106449, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106450, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106451, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106452, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 6, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1065, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106510, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106511, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106512, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106513, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106515, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106516, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106517, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106518, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106520, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106522, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106523, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106525, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106526, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106527, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106529, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10653, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106530, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106531, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106532, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106533, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106535, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 9, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106537, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106539, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106540, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106541, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106542, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106543, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106544, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106545, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106546, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106547, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106548, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 8, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106550, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106551, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106552, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106553, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106554, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106555, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106556, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106557, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 9, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10656, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106565, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106566, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106567, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106568, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106570, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106572, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106573, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106577, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106578, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10658, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106580, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106581, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106582, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106583, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106584, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106585, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 9, 11], [6, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106587, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106589, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 10, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10659, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106591, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106593, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106594, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106595, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106597, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106598, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106599, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1066, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106600, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106602, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106603, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106609, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106611, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106613, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106615, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106617, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106619, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106621, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106623, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106627, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10663, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10665, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10667, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106677, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10668, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1067, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10670, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106709, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10671, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106711, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106716, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10672, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106720, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106722, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106724, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106728, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10673, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106730, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106732, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10674, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106749, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10675, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 7, 9], [4, 8, 11], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106750, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106751, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106753, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106754, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106755, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106758, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106759, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10676, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106761, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106763, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106764, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106765, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106768, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106770, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106774, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106777, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106785, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106787, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106789, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106793, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106795, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106797, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106799, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1068, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10680, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106801, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106802, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106803, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106811, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106812, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106814, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106815, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106816, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106817, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106819, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10682, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106820, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106821, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106824, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106834, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106835, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106836, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106837, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106839, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10684, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106841, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106842, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106844, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106845, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106846, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106847, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106849, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10685, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106850, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106851, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106852, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106853, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106855, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106856, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106857, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106858, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106859, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10686, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106860, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106861, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106863, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106865, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106866, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106867, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106869, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10687, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #106870, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106871, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106872, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106874, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106875, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106876, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106877, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106878, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106879, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10688, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106880, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106881, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106882, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106883, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106885, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106887, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106888, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106889, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10689, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106890, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106891, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106892, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106894, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106896, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106897, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106898, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10690, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106902, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106905, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106906, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106909, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10691, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106911, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106916, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10692, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106928, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106929, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 10], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10693, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #106933, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10694, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106940, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10695, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10697, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10698, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #106986, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10699, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9, 11], [6, 9, 10], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1070, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10700, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107006, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107007, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107008, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107009, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10701, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107011, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107012, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107013, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107014, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107015, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107017, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107018, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107019, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107021, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107022, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107023, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107024, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107025, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107028, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107029, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10703, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107031, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107032, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107033, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107034, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107035, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107036, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107037, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107038, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107039, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10704, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107040, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107041, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107042, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107043, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107044, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107045, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107046, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107047, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107048, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107049, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10705, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107050, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107051, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107053, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107054, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107055, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107056, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107057, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107058, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107059, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10706, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107060, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107061, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107062, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107063, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107064, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107065, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107066, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107067, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107068, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107069, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10707, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 6, 11], [4, 7, 9], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107070, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107071, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107079, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10708, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 6, 11], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107080, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107081, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107082, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107085, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107086, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107087, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107089, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107090, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107091, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107092, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107094, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107097, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107098, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1071, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107100, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107101, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107102, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10712, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 6, 10, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10713, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 6, 10, 11], [3, 5, 9], [3, 6, 8], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107133, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107134, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107135, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107136, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107138, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107139, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107140, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107144, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107145, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107161, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107162, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107167, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107168, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107172, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107173, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107176, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107178, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107180, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107181, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107182, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107183, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107185, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107187, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107188, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107189, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107190, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107191, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107192, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107193, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107194, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107195, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107204, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107205, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107207, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107208, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107209, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107210, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107211, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107212, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107213, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107214, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107216, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107217, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107218, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107219, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107220, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107221, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107222, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107223, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107225, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107226, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107228, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107229, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107230, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107231, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107232, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107233, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107234, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107235, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107237, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107238, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107239, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107240, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107241, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107242, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107243, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107244, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107245, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107246, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107247, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107255, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107256, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107257, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107258, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107260, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107261, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107262, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107263, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107265, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107266, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107267, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107269, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107274, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107275, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107276, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107277, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107278, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107279, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107280, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107281, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107282, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107284, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107286, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107287, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107288, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107289, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107290, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107291, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107292, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107293, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107294, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107295, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107296, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107297, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107298, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107299, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1073, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107302, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107303, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107307, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107308, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107313, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107314, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107319, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107322, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107323, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107324, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107325, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107326, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107327, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107328, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107329, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107330, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107331, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107332, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107333, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107346, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107347, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107351, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107352, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107357, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107358, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107360, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107361, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107362, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107364, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107365, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107366, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107367, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107369, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107370, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107371, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107384, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107385, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107395, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107396, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107399, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107400, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107402, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107403, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107404, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107405, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107406, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107407, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107408, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107409, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107410, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107411, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107413, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107414, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107415, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107416, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107417, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107418, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107419, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107420, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107421, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107422, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107424, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107425, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107426, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107427, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107428, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107429, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107430, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107431, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107432, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107433, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107434, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107435, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107436, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107437, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107438, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107439, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107440, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107441, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107442, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107443, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107444, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107445, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107446, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107447, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107448, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107449, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107450, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107451, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107452, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107453, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107455, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107456, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107457, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107458, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107461, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107463, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107464, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107465, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107466, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107467, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107468, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107469, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107470, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107471, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107472, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107473, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107474, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107475, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107476, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107477, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107479, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107481, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107482, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107484, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107485, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107486, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107487, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107488, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107489, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107490, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107491, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107492, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107493, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107494, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107495, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107496, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107497, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107498, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107499, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1075, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107500, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107501, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107502, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107503, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107504, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 10], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107509, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107513, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107515, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107516, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107518, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107519, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107520, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107523, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107525, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107527, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107531, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107536, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107538, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107541, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107543, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107550, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107552, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107554, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107556, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107558, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107560, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107562, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107564, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107566, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107568, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107570, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107572, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107574, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107575, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107581, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107583, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107585, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107587, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107591, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107595, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107597, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107599, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #1076, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107601, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107603, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107605, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107609, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107611, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107614, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107615, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107616, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107617, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107618, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107619, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107621, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107622, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107623, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107624, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107625, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107626, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107627, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107628, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107629, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107633, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107636, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107638, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107640, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107677, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107683, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107685, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107687, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107693, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107695, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107697, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1077, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107700, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107702, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107703, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107706, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107708, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107711, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107712, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107713, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107715, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107716, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107717, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107719, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107720, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107724, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107725, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107726, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107727, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107728, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107729, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107730, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107731, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107732, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107733, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107734, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107735, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107736, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107738, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107739, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107740, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107741, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107742, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107743, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107744, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107745, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107746, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107747, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107748, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107749, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107750, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107752, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107753, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107754, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107755, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107756, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107757, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107758, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107759, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107760, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107761, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107762, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107763, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107764, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107765, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107767, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107768, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107769, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107770, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107771, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107772, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107773, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107775, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107776, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107777, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107778, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107779, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107780, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107781, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107783, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107784, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107785, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107786, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107787, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107788, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107791, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107793, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107794, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107795, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 10, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107796, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107797, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107798, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107799, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10780, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 7, 8], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107800, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107801, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107802, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107803, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107812, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107813, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107815, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107817, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107818, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10782, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 7, 8], [6, 9, 11], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107820, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107821, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107823, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107824, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107825, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107826, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10783, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107830, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107832, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107834, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107835, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107836, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107837, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107839, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10784, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107840, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107841, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107842, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107843, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107844, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107845, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107846, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107847, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107848, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107852, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107858, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107861, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107862, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107863, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107865, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107866, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107867, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107868, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107869, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10787, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 7, 8]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107870, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107871, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107872, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107880, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107881, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107883, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107886, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107887, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107888, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107889, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107892, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107893, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107897, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107898, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107899, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107900, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107902, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107903, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107904, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107905, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107906, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107907, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107909, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107910, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107911, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107912, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107913, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107914, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107915, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107916, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107917, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107918, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107919, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107920, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107921, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107922, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107923, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107924, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107925, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107926, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107928, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107929, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107930, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107931, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107932, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107933, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107935, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107936, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107937, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107938, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107939, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107940, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107941, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107942, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107943, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107944, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107945, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107946, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107947, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107948, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107949, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #107950, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107951, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #107952, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107953, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 9, 11], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107954, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 8, 10], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 8, 9], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10797, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 7, 8], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10799, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [6, 7, 8], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107993, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 8, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #107994, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 8, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 6, 9], [2, 10, 11], [3, 5, 8], [3, 7, 9], [4, 8, 10], [6, 7, 8], [8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1080, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108004, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108005, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108006, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108007, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108008, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108015, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108016, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108017, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108019, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10802, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108020, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108021, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108022, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108023, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108024, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108025, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108026, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108027, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108028, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10803, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108037, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108038, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108039, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10804, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 6, 10], [2, 8, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108040, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108043, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108048, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108049, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108051, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108054, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108055, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108056, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108057, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108058, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108060, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108062, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108063, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108064, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108065, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108069, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108071, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108073, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108074, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108075, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108076, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108077, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108078, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108079, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108080, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108081, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108084, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108085, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108086, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 10], [2, 5, 7], [2, 8, 10], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1081, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108126, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108135, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108136, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108138, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108153, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108158, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108159, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108169, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10817, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108170, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108171, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108173, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108174, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108175, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108176, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108178, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108179, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108181, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108182, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108183, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108185, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108187, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108188, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108189, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108190, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108191, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108192, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108193, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108195, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108196, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108197, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108199, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1082, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108200, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108201, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108202, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 8, 11], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108203, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 7, 11], [6, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108229, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108230, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108231, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108233, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108234, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108235, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108236, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108239, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108240, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108241, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108264, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108265, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108268, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108269, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108270, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108272, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108273, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108274, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108275, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108287, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108288, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108292, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108293, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108295, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108296, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108297, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108298, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108299, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1083, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108306, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108309, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108310, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108311, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108313, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108314, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108315, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108316, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108319, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108320, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108321, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108322, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108326, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108327, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11], [8, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108328, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108329, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10833, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108330, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108331, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108332, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108333, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108334, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 11], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108335, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [4, 9, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108343, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108344, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108346, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108348, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108349, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108350, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108351, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108353, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108354, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108355, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108358, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108359, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108363, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108364, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 11], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108366, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108367, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108368, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108369, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10837, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 6, 10], [2, 9, 11], [3, 5, 8], [3, 9, 10], [4, 5, 9], [4, 7, 11], [5, 10, 11], [6, 7, 8]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108370, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108371, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108372, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 8, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108373, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108374, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108376, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108378, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108379, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108380, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108381, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108382, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108383, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 10, 11], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108384, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108385, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108386, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 7, 11], [6, 8, 10], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108387, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108389, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108390, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108391, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108392, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108393, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108394, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108395, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [5, 8, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108397, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108398, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108399, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [1, 10, 11], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 9, 10], [5, 7, 10], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 4, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1084, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108403, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 11], [4, 9, 10], [5, 7, 10], [5, 9, 11], [6, 7, 11], [6, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108407, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 10], [5, 7, 10], [6, 8, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #108409, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 10], [5, 7, 10], [5, 9, 11], [6, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108410, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 10], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108411, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 10], [5, 7, 10], [6, 7, 11], [9, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108412, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [4, 8, 10], [5, 7, 10], [5, 9, 11], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108415, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 8], [2, 4, 6], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 9], [3, 10, 11], [4, 8, 10], [4, 9, 11], [5, 7, 10], [6, 7, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
  • [2, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #108460, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108464, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108470, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108474, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108481, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108483, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108484, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108486, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108495, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108497, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1085, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108501, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108503, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108505, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108507, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108509, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108511, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108513, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108515, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108517, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108519, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108521, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108523, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108528, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108532, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108556, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108558, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108560, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108561, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108562, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108563, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108564, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108565, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108566, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108567, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108571, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108572, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108574, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108575, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108576, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108577, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108578, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108579, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10858, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #108580, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108581, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108582, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108591, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108595, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108597, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108600, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108601, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108602, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10862, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1087, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [1, 9, 11], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [7, 8, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108704, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108707, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108708, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108709, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108710, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108711, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108712, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108713, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108714, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108715, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108716, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108717, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108718, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10873, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108732, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108733, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108734, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108736, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108737, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108738, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10874, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 10, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108743, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108744, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108745, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108746, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108747, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108748, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108749, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10875, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108750, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108751, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108761, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108763, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108765, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108767, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108770, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108771, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108772, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108774, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108776, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108777, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108778, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108779, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10878, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108780, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108781, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108782, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108783, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108784, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108785, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108786, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108787, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108788, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108791, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108795, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108797, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108799, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108801, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108802, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108803, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10883, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10884, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1089, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9, 11], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108904, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108907, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108908, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108912, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108913, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108914, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108915, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108916, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108917, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108918, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108919, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108920, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108921, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108922, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108924, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108925, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108926, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [7, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108927, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108928, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 10], [1, 9, 11], [2, 5, 7], [2, 8, 11], [2, 9, 10], [3, 5, 8], [3, 6, 7], [4, 5, 9], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10894, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108970, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108971, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108973, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108975, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108977, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108978, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108982, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10899, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 11], [2, 5, 8], [2, 9, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108997, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #108998, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #108999, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 8, 9, 11], [6, 9, 10], [7, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109001, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109003, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109050, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 11], [6, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109054, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 10, 11], [6, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109055, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [6, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109059, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [6, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109086, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109099, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 10, 11], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #1091, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10, 11], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 8, 9], [6, 9, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 7, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109100, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109101, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109103, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109104, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109105, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109108, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109109, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109110, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109113, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109114, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109115, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109127, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109129, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109130, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 8, 11], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109145, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109149, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 11], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109152, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109154, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 8, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 10, 11], [4, 5, 9], [4, 7, 10], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109163, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 2
    Counterexample: no
    
• ID: PolyDB #109164, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109166, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109169, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109170, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109171, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109172, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109173, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109176, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109178, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109180, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109181, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109182, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109186, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109187, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109188, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109189, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109190, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109193, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109195, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109197, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109199, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109201, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 5, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109203, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109205, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109207, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [5, 10, 11], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109209, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 9, 11], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [6, 8, 9], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 5, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10922, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109220, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109222, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [5, 10, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109224, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 10, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109227, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109228, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109230, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [6, 10, 11], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109235, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [5, 9, 11], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109236, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [1, 10, 11], [2, 5, 7], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9], [7, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 5, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 8, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109237, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 10, 11], [5, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109238, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6], [2, 5, 7], [2, 9, 11], [3, 5, 8], [3, 6, 7], [3, 9, 10], [4, 5, 9], [4, 7, 10], [4, 8, 11], [6, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109240, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109241, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [4, 9, 11], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109243, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109244, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [5, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109245, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 10], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 10], [3, 9, 11], [4, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10925, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10926, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109278, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #10928, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10929, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    Counterexample: no
    
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109299, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 11], [4, 10, 11], [5, 7, 10], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #1093, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 8, 10], [2, 5, 8], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 11], [4, 8, 9], [6, 10, 11], [7, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 5, 7, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10930, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 10, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 5, 6, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 4, 6, 7, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109301, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [5, 7, 10], [6, 10, 11], [7, 8, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109306, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109308, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [5, 9, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109310, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109311, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 9, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109313, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [6, 10, 11], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 4, 5, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109314, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [4, 10, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109315, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [5, 7, 10], [8, 9, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #10932, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [4, 5, 10], [4, 7, 9], [4, 8, 11], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 5, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 3, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [3, 5, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [3, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #10933, realization space
  Hyperplanes: [[1, 2, 3, 4], [1, 5, 6, 7], [1, 9, 11], [2, 5, 8], [2, 7, 11], [3, 5, 9], [3, 6, 8], [3, 10, 11], [4, 5, 10], [4, 7, 9], [4, 8, 11]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 4, 5, 6, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 4, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 5, 6, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [2, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [5, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109335, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [6, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109337, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [5, 9, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109339, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109340, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 9, 11], [5, 7, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109342, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [6, 10, 11], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109343, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 10, 11], [5, 7, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109344, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [5, 7, 10], [7, 8, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 4, 6, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109347, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109349, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [2, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 1
    Counterexample: no
    
• ID: PolyDB #109351, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109352, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 9, 10], [4, 8, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109355, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109356, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109357, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [5, 9, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [4, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109359, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [2, 4, 6], [2, 5, 8], [2, 7, 9], [2, 10, 11], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 6, 7, 8, 9, 10, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109360, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 10, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 9, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
  • [1, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: 0
    Counterexample: no
    
• ID: PolyDB #109362, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [5, 7, 10], [6, 10, 11]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [4, 5, 6, 7, 8, 9, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
• ID: PolyDB #109363, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 9, 11], [2, 4, 6], [2, 5, 8], [2, 7, 9], [3, 4, 7], [3, 5, 6], [3, 8, 11], [3, 9, 10], [4, 10, 11], [5, 7, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 10, 11], realization space, effective class
    RS dimension: -1
    Counterexample: no
    
  • [1, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample: no