n=12

• ID: PolyDB #1, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 6, 9], [1, 7, 10], [1, 8, 11], [2, 4, 6], [2, 5, 8], [3, 4, 7], [3, 10, 12], [4, 9, 12], [5, 9, 10], [6, 10, 11], [7, 8, 12]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
  • [2, 3, 5, 6, 7, 9, 11, 12], realization space, effective class
    RS dimension: 0
    
• ID: PolyDB #1000001, realization space
  Hyperplanes: [[1, 2, 3], [1, 4, 5], [1, 7, 10], [1, 8, 11], [2, 4, 6], [2, 5, 8], [3, 4, 7], [3, 5, 9], [3, 8, 12], [4, 8, 10], [6, 7, 8], [7, 11, 12], [9, 10, 12]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000002, realization space
  Hyperplanes: [[6, 8, 11], [5, 10, 11], [5, 6, 7], [4, 11, 12], [3, 5, 9], [3, 4, 7], [2, 10, 12], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000003, realization space
  Hyperplanes: [[9, 10, 12], [6, 11, 12], [6, 7, 8], [4, 8, 10], [3, 8, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 11], [1, 7, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000004, realization space
  Hyperplanes: [[6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 11, 12], [3, 5, 9], [3, 4, 7], [2, 10, 12], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000005, realization space
  Hyperplanes: [[8, 9, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 5
  Conics:
  
• ID: PolyDB #1000006, realization space
  Hyperplanes: [[8, 9, 12], [7, 11, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000007, realization space
  Hyperplanes: [[8, 9, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [4, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000008, realization space
  Hyperplanes: [[8, 9, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000009, realization space
  Hyperplanes: [[8, 9, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 11, 12], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000010, realization space
  Hyperplanes: [[8, 9, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 11, 12], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000011, realization space
  Hyperplanes: [[8, 9, 12], [7, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000012, realization space
  Hyperplanes: [[8, 9, 12], [7, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [4, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000013, realization space
  Hyperplanes: [[8, 9, 12], [7, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000014, realization space
  Hyperplanes: [[8, 9, 12], [7, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 11, 12], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
  • [1, 3, 4, 6, 9, 10, 11, 12], realization space, effective class
    RS dimension: 1
    
• ID: PolyDB #1000015, realization space
  Hyperplanes: [[8, 9, 12], [7, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 11, 12], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000016, realization space
  Hyperplanes: [[8, 9, 12], [6, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 4
  Conics:
  
• ID: PolyDB #1000017, realization space
  Hyperplanes: [[8, 9, 12], [6, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [4, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
• ID: PolyDB #1000018, realization space
  Hyperplanes: [[8, 9, 12], [6, 10, 12], [6, 8, 11], [5, 10, 11], [5, 6, 7], [3, 11, 12], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 3
  Conics:
  
  • [1, 2, 4, 7, 9, 10, 11, 12], realization space, effective class
    
• ID: PolyDB #2, realization space
  Hyperplanes: [[7, 8, 12], [6, 10, 11], [5, 9, 10], [4, 9, 12], [3, 10, 12], [3, 4, 7], [2, 11, 12], [2, 5, 8], [2, 4, 6], [1, 8, 11], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: no reason given
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 6, 7, 11, 12], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 5, 7, 9, 11, 12], realization space, effective class