n=10

• ID: PolyDB #1001, realization space
  Hyperplanes: [[5, 6, 7], [3, 6, 8], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 8, 9, 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, 7, 8, 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 #1246, realization space
  Hyperplanes: [[6, 7, 10], [5, 8, 9], [3, 5, 6], [3, 4, 7], [2, 8, 10], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1252, realization space
  Hyperplanes: [[6, 8, 10], [5, 8, 9], [5, 7, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 9, 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
  • [2, 3, 4, 5, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1253, realization space
  Hyperplanes: [[6, 8, 10], [5, 8, 9], [5, 7, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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, 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
• ID: PolyDB #1254, realization space
  Hyperplanes: [[5, 8, 9], [5, 7, 10], [3, 5, 6], [3, 4, 7], [2, 8, 10], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1269, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1272, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
• ID: PolyDB #1273, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 8, 9], 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
• ID: PolyDB #1274, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1275, realization space
  Hyperplanes: [[6, 9, 10], [5, 7, 10], [4, 8, 9], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #1278, realization space
  Hyperplanes: [[6, 9, 10], [5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 8, 10], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 5, 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
• ID: PolyDB #1279, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 8, 10], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
• ID: PolyDB #1287, realization space
  Hyperplanes: [[5, 7, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1289, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 3, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1290, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1376, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1382, realization space
  Hyperplanes: [[6, 8, 9], [5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], 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, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 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 #1383, realization space
  Hyperplanes: [[6, 8, 9], [4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 9, 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, 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 #1406, realization space
  Hyperplanes: [[3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  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 #1413, realization space
  Hyperplanes: [[6, 7, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 3, 5, 7, 8, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1415, realization space
  Hyperplanes: [[6, 7, 10], [5, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1416, realization space
  Hyperplanes: [[6, 7, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 7, 9, 10], 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 #1417, realization space
  Hyperplanes: [[6, 7, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 9, 10], 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, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1424, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 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, 6, 7, 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
  • [2, 3, 6, 7, 8, 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 #1432, realization space
  Hyperplanes: [[6, 8, 10], [5, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], 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, 5, 7, 8, 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 #1433, realization space
  Hyperplanes: [[6, 8, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 5, 7, 8, 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 #1435, realization space
  Hyperplanes: [[6, 9, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 5, 6, 7, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1436, realization space
  Hyperplanes: [[5, 9, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 5, 6, 7, 8, 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 #1437, realization space
  Hyperplanes: [[3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  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 #1438, realization space
  Hyperplanes: [[6, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 4, 5, 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, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1439, realization space
  Hyperplanes: [[4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 7, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 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, 9], 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 #1449, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  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 #1455, realization space
  Hyperplanes: [[7, 8, 9], [5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 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
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1456, realization space
  Hyperplanes: [[7, 8, 9], [4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 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, 5, 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
• ID: PolyDB #1457, realization space
  Hyperplanes: [[7, 8, 9], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1490, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1493, realization space
  Hyperplanes: [[6, 7, 10], [5, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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 #1508, realization space
  Hyperplanes: [[6, 8, 9], [5, 9, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 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: -1
    Counterexample? No
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1509, realization space
  Hyperplanes: [[6, 8, 9], [4, 8, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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, 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
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1510, realization space
  Hyperplanes: [[6, 8, 9], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 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
  • [3, 5, 7, 8, 9, 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
• ID: PolyDB #1512, realization space
  Hyperplanes: [[6, 8, 9], [5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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: -1
    Counterexample? No
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1513, realization space
  Hyperplanes: [[6, 8, 9], [4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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, 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
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1516, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [5, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 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, 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
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1517, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1518, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1520, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 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, 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
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1521, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [4, 8, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 4, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 4, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 5, 6, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 5, 6, 7], realization space, effective class
    RS dimension: 0
    
  • [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
    
  • [1, 2, 5, 7, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 5, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 6, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 6, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 2, 8, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 4, 6, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 4, 6, 8], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 4, 6, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 5, 7, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 5, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 5, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 6, 7, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 4, 6, 7, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 4, 6, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 4, 7, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    
  • [1, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [1, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 4, 5, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 4, 5, 9], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 4, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 5, 7, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 6, 7, 8], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 6, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 3, 7, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 4, 5, 7, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 4, 5, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [2, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [3, 4, 5, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    
  • [3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [4, 5, 6, 7, 8], realization space, effective class
    RS dimension: 0
    
  • [4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    
  • [4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    
  • [4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    
  • [5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    
• ID: PolyDB #1525, realization space
  Hyperplanes: [[6, 8, 9], [6, 7, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #1527, realization space
  Hyperplanes: [[6, 8, 9], [5, 7, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: 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: -1
    Counterexample? No
  • [2, 3, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1528, realization space
  Hyperplanes: [[6, 8, 9], [5, 7, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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, 4, 6, 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
• ID: PolyDB #1529, realization space
  Hyperplanes: [[6, 8, 9], [5, 7, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 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: 0
    Counterexample? No
  • [3, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1535, realization space
  Hyperplanes: [[6, 7, 10], [5, 9, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1536, realization space
  Hyperplanes: [[6, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1537, realization space
  Hyperplanes: [[6, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 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, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1539, realization space
  Hyperplanes: [[6, 9, 10], [5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [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
• ID: PolyDB #1540, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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, 5, 6, 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
• ID: PolyDB #1542, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 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, 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, 4, 6, 7, 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
• ID: PolyDB #1543, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 8, 9], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 6, 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
• ID: PolyDB #1547, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 4, 5, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #1551, realization space
  Hyperplanes: [[6, 7, 10], [5, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 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, 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, 4, 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: 0
    Counterexample? No
• ID: PolyDB #1552, realization space
  Hyperplanes: [[6, 7, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1555, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  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, 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: -1
    Counterexample? No
  • [2, 3, 4, 5, 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 #1556, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 9, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1558, realization space
  Hyperplanes: [[6, 9, 10], [5, 7, 10], [4, 8, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: -1
    Counterexample? No
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1570, realization space
  Hyperplanes: [[3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  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 #1572, realization space
  Hyperplanes: [[6, 8, 10], [5, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 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
  • [2, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 8, 9], 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 #1573, realization space
  Hyperplanes: [[6, 8, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [2, 3, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 5, 7, 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 #1574, realization space
  Hyperplanes: [[6, 8, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 8, 9], 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, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1576, realization space
  Hyperplanes: [[4, 8, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 8, 9], 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, 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 #1577, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  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 #1578, realization space
  Hyperplanes: [[4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 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
  • [4, 5, 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
• ID: PolyDB #1584, realization space
  Hyperplanes: [[5, 9, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 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
  • [3, 6, 7, 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 #1585, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  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 #1586, realization space
  Hyperplanes: [[5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  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
  • [4, 5, 6, 7, 8, 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
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1587, realization space
  Hyperplanes: [[4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 7, 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
  • [4, 5, 6, 7, 8, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1589, realization space
  Hyperplanes: [[8, 9, 10], [5, 7, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 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, 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 #1590, realization space
  Hyperplanes: [[5, 7, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 8, 10], realization space, effective class
    
  • [1, 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
  • [3, 6, 7, 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 #1591, realization space
  Hyperplanes: [[5, 7, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 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
  • [2, 3, 6, 7, 8, 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
  • [4, 5, 6, 8, 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 #1592, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 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, 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, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 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 #1593, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 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 #1594, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 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 #1595, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 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, 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, 6, 7, 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 #1596, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 10], [3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 6, 7, 8, 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 #1597, realization space
  Hyperplanes: [[5, 7, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 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
  • [4, 5, 6, 7, 8, 9], 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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1598, realization space
  Hyperplanes: [[5, 7, 10], [4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1600, realization space
  Hyperplanes: [[5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [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, 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
• ID: PolyDB #1601, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [4, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 5, 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
• ID: PolyDB #1606, realization space
  Hyperplanes: [[6, 8, 10], [5, 7, 10], [3, 8, 9], [3, 5, 6], [3, 4, 7], [2, 7, 9], [2, 5, 8], [2, 4, 6], [1, 7, 8], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1646, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 9, 10], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  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 #1650, realization space
  Hyperplanes: [[7, 8, 10], [6, 9, 10], [3, 5, 6], [3, 4, 7], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  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 #1654, realization space
  Hyperplanes: [[3, 9, 10], [3, 5, 6], [3, 4, 7], [2, 8, 10], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  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 #1659, realization space
  Hyperplanes: [[7, 8, 10], [6, 9, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 8, 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
  • [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
  • [3, 4, 5, 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 #1661, realization space
  Hyperplanes: [[6, 9, 10], [5, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 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
  • [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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1664, realization space
  Hyperplanes: [[6, 9, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 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
  • [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
  • [3, 5, 7, 8, 9, 10], 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 #1665, realization space
  Hyperplanes: [[5, 9, 10], [4, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 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: -1
    Counterexample? No
  • [2, 3, 6, 7, 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, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1666, realization space
  Hyperplanes: [[3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  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 #1667, realization space
  Hyperplanes: [[6, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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
  • [4, 5, 6, 7, 8, 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
  • [4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1668, realization space
  Hyperplanes: [[5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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
  • [2, 3, 6, 7, 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, 9], 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 #1669, realization space
  Hyperplanes: [[4, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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
  • [2, 3, 6, 7, 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, 9], 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 #1672, realization space
  Hyperplanes: [[6, 7, 10], [5, 8, 10], [4, 9, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #1673, realization space
  Hyperplanes: [[6, 7, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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, 3, 4, 6, 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
  • [4, 5, 6, 7, 8, 9], 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, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #1674, realization space
  Hyperplanes: [[6, 7, 10], [5, 9, 10], [3, 8, 10], [3, 5, 6], [3, 4, 7], [2, 8, 9], [2, 5, 7], [2, 4, 6], [1, 7, 9], [1, 6, 8], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 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
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #217, realization space
  Hyperplanes: [[5, 6, 8], [4, 9, 10], [3, 8, 10], [3, 4, 7], [2, 4, 6], [1, 8, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 4
  Conics:
  
  • [1, 2, 4, 7, 8], realization space, effective class
    RS dimension: 4
    
• ID: PolyDB #2413, realization space
  Hyperplanes: [[1, 2, 3, 4], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  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 #2459, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 6, 7, 9], 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 #2565, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [6, 7, 8], [4, 8, 9], [4, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2602, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [4, 7, 9], [4, 6, 10], [3, 7, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2604, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [4, 7, 9], [4, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2609, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 10], [4, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  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: -1
    Counterexample? No
• ID: PolyDB #2633, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 7, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 9], 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, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #2644, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2647, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 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
• ID: PolyDB #2649, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2654, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 10], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], 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, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #2655, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2658, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [4, 7, 10], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2660, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 6, 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
• ID: PolyDB #2667, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  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, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2668, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2670, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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
• ID: PolyDB #2674, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 4, 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: 0
    Counterexample? No
  • [1, 5, 7, 8, 9, 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
• ID: PolyDB #2677, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 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
• ID: PolyDB #2678, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2683, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 6, 10], [3, 7, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #2686, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 7, 10], [3, 7, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 6, 8, 10], 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, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2712, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: -1
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #2714, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #2719, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 10], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2721, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 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
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2725, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [6, 7, 8], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2726, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 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
  • [3, 4, 5, 6, 7, 9], 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 #2729, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2730, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], 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, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2734, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 7, 9, 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
• ID: PolyDB #2736, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [4, 8, 9], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  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, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 7, 9, 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
• ID: PolyDB #2739, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], 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, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2741, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [3, 4, 5, 6, 7, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2743, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 7, 8], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 10], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], 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, 7, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2781, realization space
  Hyperplanes: [[6, 7, 8, 9], [1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 7, 10], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2786, realization space
  Hyperplanes: [[6, 7, 8, 9], [1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2905, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 6, 7], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 3, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #2930, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 6, 7], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2931, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 6, 7], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 3, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2933, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 8, 10], [3, 6, 7], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2934, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 8, 10], [3, 6, 7], [2, 8, 9], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 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 #2952, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 6, 7], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  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, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 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
• ID: PolyDB #2954, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 8, 10], [3, 6, 7], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [2, 3, 5, 6, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #2955, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 9], [4, 5, 8], [3, 8, 10], [3, 6, 7], [2, 9, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 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
  • [2, 3, 5, 6, 8, 9], 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 #3089, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3090, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  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, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3091, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3104, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 6, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 4, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3119, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 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, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3120, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  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, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 4, 5, 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
• ID: PolyDB #3121, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3124, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 4, 5, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 4, 5, 6, 8, 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
• ID: PolyDB #3152, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #3153, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3154, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3156, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [4, 6, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3184, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 5, 8, 9], realization space, effective class
    RS dimension: 3
    
• ID: PolyDB #3207, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [5, 9, 10], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3208, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 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
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3210, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [5, 9, 10], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 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
• ID: PolyDB #3211, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 8, 9, 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
• ID: PolyDB #3230, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  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
• ID: PolyDB #3232, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3234, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  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, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3235, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 6, 8, 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
• ID: PolyDB #3238, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 8, 9], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3251, realization space
  Hyperplanes: [[1, 2, 3, 4], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  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 #3254, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [5, 9, 10], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 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 #3256, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 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: 0
    Counterexample? No
• ID: PolyDB #3257, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 9], 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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3262, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 8, 10], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], 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 #3263, realization space
  Hyperplanes: [[1, 2, 3, 4], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  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 #3264, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 7, 8, 9], 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 #3265, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3266, realization space
  Hyperplanes: [[1, 2, 3, 4], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  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 #3348, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #3349, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3351, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 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
• ID: PolyDB #3352, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 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
• ID: PolyDB #3358, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 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
• ID: PolyDB #3361, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
• ID: PolyDB #3368, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  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, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3369, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3370, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3372, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3373, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  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, 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
• ID: PolyDB #3374, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 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
• ID: PolyDB #3376, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3377, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #3378, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 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
• ID: PolyDB #3384, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 8, 9], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
• ID: PolyDB #3387, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [6, 8, 9], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3388, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 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
• ID: PolyDB #3389, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3391, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [6, 8, 9], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3392, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 9], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 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
  • [4, 5, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3403, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 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
• ID: PolyDB #3406, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3409, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], 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
• ID: PolyDB #3410, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 9], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: 0
    Counterexample? No
• ID: PolyDB #3416, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 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, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3417, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 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
• ID: PolyDB #3419, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], 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, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3424, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 6, 7, 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
• ID: PolyDB #3426, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3461, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [5, 9, 10], [4, 7, 9], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #3462, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 5, 6]]
  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, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3463, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3493, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3494, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3495, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [2, 4, 5, 6, 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 #3502, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3503, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [5, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 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
• ID: PolyDB #3504, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3505, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 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
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3507, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 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, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3508, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 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
• ID: PolyDB #3509, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 9, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 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 #3510, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 6, 9, 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
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [4, 5, 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 #3512, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3513, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 7, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 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
• ID: PolyDB #3514, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [2, 4, 5, 6, 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
• ID: PolyDB #3515, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 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 #3517, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 5, 6, 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 #3543, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3547, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  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, 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
• ID: PolyDB #3549, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 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 #3551, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  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: -1
    Counterexample? No
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3552, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  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, 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
  • [2, 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 #3553, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  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: -1
    Counterexample? No
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3560, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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: 0
    Counterexample? No
• ID: PolyDB #3561, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 6, 7, 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
• ID: PolyDB #3573, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  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, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3575, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], 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
• ID: PolyDB #3577, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3578, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3579, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 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
• ID: PolyDB #3581, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  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: -1
    Counterexample? No
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3582, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 5, 6]]
  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, 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
• ID: PolyDB #3583, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 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
• ID: PolyDB #3584, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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, 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
• ID: PolyDB #3585, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  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, 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, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3586, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3588, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3589, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  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, 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, 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
• ID: PolyDB #3590, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3591, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 6, 7, 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
• ID: PolyDB #3592, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3594, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3595, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  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, 8, 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, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3596, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3597, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], 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
• ID: PolyDB #3601, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3602, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3610, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3611, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  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, 8, 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, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3612, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3614, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 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
• ID: PolyDB #3615, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3617, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 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, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3618, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [2, 5, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3619, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
• ID: PolyDB #3621, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3622, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  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
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3623, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  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, 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
  • [2, 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 #3624, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 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 #3627, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 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, 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
  • [2, 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 #3628, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3629, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 5, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3631, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3632, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
  • [2, 4, 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 #3633, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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
• ID: PolyDB #3634, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3635, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 4, 7, 8, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3636, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 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
• ID: PolyDB #3637, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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, 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 #3640, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], 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: 0
    Counterexample? No
• ID: PolyDB #3642, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 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 #3643, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 4, 5, 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
• ID: PolyDB #3644, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3646, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 6, 10], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 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
• ID: PolyDB #3648, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 9], [2, 6, 10], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3652, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 7, 8, 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
• ID: PolyDB #3654, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3657, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3661, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 5, 6]]
  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, 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
• ID: PolyDB #3664, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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
• ID: PolyDB #3665, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 8, 10], [2, 6, 9], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3707, realization space
  Hyperplanes: [[1, 2, 3, 4], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  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 #3716, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [5, 9, 10], [4, 8, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 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
• ID: PolyDB #3717, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 7, 9, 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
• ID: PolyDB #3719, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 8, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  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, 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 #3720, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 7, 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, 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 #3722, realization space
  Hyperplanes: [[1, 2, 3, 4], [5, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 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
• ID: PolyDB #3723, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 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
• ID: PolyDB #3724, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: -1
    Counterexample? No
  • [2, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 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
• ID: PolyDB #3726, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [3, 4, 5, 6, 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 #3748, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3749, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 4, 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: -1
    Counterexample? No
• ID: PolyDB #3750, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3761, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
• ID: PolyDB #3762, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  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, 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
• ID: PolyDB #3763, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
• ID: PolyDB #3764, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3766, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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 #3767, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 4, 6, 7, 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 #3768, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [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 #3769, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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, 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: 0
    Counterexample? No
• ID: PolyDB #3770, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3771, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9, 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
• ID: PolyDB #3772, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3774, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3775, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 9], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3776, realization space
  Hyperplanes: [[7, 8, 9, 10], [1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3783, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [6, 9, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3784, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3785, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3787, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
• ID: PolyDB #3789, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 6, 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 #3791, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 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
  • [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 #3792, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [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 #3793, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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 #3795, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3796, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
• ID: PolyDB #3797, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3798, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 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
• ID: PolyDB #3799, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 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 #3800, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3801, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3802, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 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
• ID: PolyDB #3804, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3805, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
  • [2, 4, 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 #3806, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [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
• ID: PolyDB #3807, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3808, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3809, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3810, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: -1
    Counterexample? No
  • [2, 4, 7, 8, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #3812, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [3, 4, 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 #3823, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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
• ID: PolyDB #3824, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 4, 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: -1
    Counterexample? No
• ID: PolyDB #3825, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 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
• ID: PolyDB #3827, realization space
  Hyperplanes: [[1, 2, 3, 4], [7, 9, 10], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3828, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3829, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 9, 10], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3831, realization space
  Hyperplanes: [[1, 2, 3, 4], [6, 9, 10], [4, 7, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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
• ID: PolyDB #3832, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 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, 4, 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: -1
    Counterexample? No
• ID: PolyDB #3833, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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
  • [3, 4, 6, 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 #3834, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 8, 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, 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
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3835, realization space
  Hyperplanes: [[1, 2, 3, 4], [8, 9, 10], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #3837, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 6, 7], [3, 5, 8], [2, 9, 10], [2, 6, 8], [2, 5, 7], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 6, 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 #3839, realization space
  Hyperplanes: [[1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 7], [3, 5, 8], [2, 6, 8], [2, 5, 7], [1, 8, 10], [1, 7, 9], [1, 5, 6]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #3961, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 10], [3, 8, 10], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 3
  Conics:
  
  • [1, 2, 6, 8, 9], realization space, effective class
    RS dimension: 3
    
• ID: PolyDB #4191, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [6, 9, 10], [4, 7, 10], [4, 5, 9], [3, 6, 8], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4192, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 7, 10], [4, 5, 9], [3, 9, 10], [3, 6, 8], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4199, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 7, 10], [3, 6, 8], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4200, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 7, 10], [3, 6, 8], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: 0
    Counterexample? No
• ID: PolyDB #4206, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 8], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4207, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 5, 9], [3, 6, 8], [2, 7, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4237, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 7, 10], [3, 6, 8], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4238, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 7, 10], [3, 6, 8], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4244, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 6, 8], [2, 7, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4245, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 9, 10], [3, 6, 8], [2, 7, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4252, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 9, 10], [3, 6, 8], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4253, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 6, 8], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4264, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 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
• ID: PolyDB #4266, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4271, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4272, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4275, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 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
• ID: PolyDB #4276, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4279, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 10], [4, 5, 9], [3, 7, 9], [3, 6, 8], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 5, 6, 9, 10], 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, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4334, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4355, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [4, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4363, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 9, 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
• ID: PolyDB #4364, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4370, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4377, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 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
• ID: PolyDB #4379, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 8, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4380, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4382, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4383, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4388, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4396, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4397, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 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
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4399, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4400, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 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
• ID: PolyDB #4401, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4403, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #4404, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4405, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4406, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4407, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4425, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4430, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 8, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4436, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [6, 9, 10], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4437, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4438, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [2, 4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4439, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 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
  • [4, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4456, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4457, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4459, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4461, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [8, 9, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4467, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 7, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4476, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4477, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 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
• ID: PolyDB #4479, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 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, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4480, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4484, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 8, 10], [4, 7, 9], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4488, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4489, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4491, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 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
• ID: PolyDB #4492, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4495, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 7, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4497, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 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, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4498, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4499, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 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, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4516, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 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 #4530, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4532, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4533, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: 0
    Counterexample? No
• ID: PolyDB #4536, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 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
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4539, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4540, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4548, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 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
• ID: PolyDB #4550, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4552, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 9, 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
• ID: PolyDB #4553, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4555, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4556, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 8, 10], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4558, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4560, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4561, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 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
• ID: PolyDB #4563, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 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
• ID: PolyDB #4564, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4565, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 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
• ID: PolyDB #4566, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4567, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4568, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4569, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 9], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4581, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 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
• ID: PolyDB #4585, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #4587, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4588, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [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: 0
    Counterexample? No
• ID: PolyDB #4589, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4591, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 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
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4592, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4593, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4594, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 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, 7, 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
• ID: PolyDB #4609, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4611, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [8, 9, 10], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4613, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4618, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 8, 9], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 7, 8, 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
• ID: PolyDB #4620, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 7, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4623, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 5, 7, 8, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4625, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4626, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 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, 6, 7, 8, 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
• ID: PolyDB #4627, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 6, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4628, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 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
• ID: PolyDB #4630, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4671, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 6, 10], [3, 6, 8], [3, 5, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4690, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4691, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4692, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [7, 8, 10], [4, 7, 9], [4, 6, 10], [3, 6, 8], [3, 5, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4695, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 8, 10], [4, 7, 9], [3, 6, 8], [3, 5, 10], [2, 6, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4733, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4735, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 9, 10], [4, 7, 8], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4736, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #4738, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4739, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [6, 9, 10], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4740, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4741, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 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
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4755, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 5, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4756, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 9, 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, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4757, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 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, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4760, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [8, 9, 10], [4, 7, 8], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #4763, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [8, 9, 10], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4764, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 9, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4765, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 9, 10]]
  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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4766, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 8, 10]]
  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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4768, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8]]
  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
• ID: PolyDB #4771, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4773, realization space
  Hyperplanes: [[3, 5, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4774, realization space
  Hyperplanes: [[3, 5, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [2, 7, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4777, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4780, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 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, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4784, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4785, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8], [1, 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, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4787, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4788, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 10], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4790, realization space
  Hyperplanes: [[3, 5, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [2, 5, 8], [1, 8, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4795, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #4816, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 9, 10], [4, 7, 8], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4818, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [8, 9, 10], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4819, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [7, 9, 10], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 4, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4821, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 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
• ID: PolyDB #4823, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 7, 10], [3, 6, 8], [3, 5, 9], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 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
• ID: PolyDB #4829, realization space
  Hyperplanes: [[1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4841, realization space
  Hyperplanes: [[1, 8, 9, 10], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 5, 10], [3, 6, 8], [3, 5, 9], [2, 7, 10], [2, 6, 9], [2, 5, 8]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4867, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 9, 10], [4, 7, 8], [3, 6, 8], [3, 5, 10], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4869, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 9, 10], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4870, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 7, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4871, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 7, 10], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4875, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [3, 6, 8], [3, 5, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4876, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [3, 6, 8], [3, 5, 10], [1, 8, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4878, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 10], [3, 6, 8], [3, 5, 10], [2, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4882, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 9, 10], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 6, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4883, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 6, 10], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [3, 4, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4895, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [4, 5, 10], [3, 6, 8], [2, 6, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4902, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 10], [2, 7, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4904, realization space
  Hyperplanes: [[4, 6, 9, 10], [2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #4905, realization space
  Hyperplanes: [[4, 6, 9, 10], [2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [3, 6, 8], [3, 5, 10], [2, 7, 10]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #4906, realization space
  Hyperplanes: [[2, 5, 8, 9], [1, 5, 6, 7], [1, 2, 3, 4], [4, 7, 8], [4, 6, 9], [3, 6, 8], [3, 5, 10], [2, 6, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5067, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 6, 10], [4, 8, 10], [4, 7, 9], [3, 7, 8], [3, 6, 9], [2, 9, 10], [2, 6, 8], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5068, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 6, 10], [4, 8, 10], [4, 7, 9], [3, 7, 8], [3, 6, 9], [2, 6, 8], [1, 9, 10], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 1
    Counterexample? No
• ID: PolyDB #5075, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [4, 7, 9], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 9, 10], [2, 6, 8], [1, 8, 10], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5083, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 8, 9], [5, 7, 10], [4, 7, 9], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 6, 8], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5097, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 9, 10], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 7, 9], [2, 6, 8], [1, 8, 10], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5099, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [8, 9, 10], [5, 7, 10], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 7, 9], [2, 6, 8], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5100, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 7, 10], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 7, 9], [2, 6, 8], [1, 8, 10], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5105, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [4, 8, 9], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 7, 9], [2, 6, 8], [1, 8, 10], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [5, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5106, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [5, 7, 10], [4, 8, 9], [4, 6, 10], [3, 7, 8], [3, 6, 9], [2, 7, 9], [2, 6, 8], [1, 6, 7]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #5184, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [1, 6, 7, 8], [5, 8, 10], [4, 8, 9], [3, 7, 9], [3, 6, 10], [2, 6, 9], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5189, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [1, 6, 7, 8], [4, 8, 9], [4, 7, 10], [3, 7, 9], [3, 6, 10], [2, 6, 9], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [2, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5198, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [1, 6, 7, 8], [5, 8, 10], [4, 8, 9], [3, 7, 9], [3, 6, 10], [2, 7, 10], [2, 6, 9]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #5199, realization space
  Hyperplanes: [[1, 2, 3, 4, 5], [1, 6, 7, 8], [5, 8, 10], [4, 8, 9], [3, 7, 9], [3, 6, 10], [2, 7, 10], [2, 6, 9], [1, 9, 10]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [4, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #627, realization space
  Hyperplanes: [[6, 7, 8], [5, 7, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [3, 4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #630, realization space
  Hyperplanes: [[6, 7, 8], [5, 7, 9], [3, 8, 10], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 9, 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 #634, realization space
  Hyperplanes: [[6, 7, 8], [5, 7, 9], [4, 8, 10], [3, 8, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 5, 6, 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, 5, 6, 7, 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, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #635, realization space
  Hyperplanes: [[6, 7, 8], [5, 7, 9], [4, 8, 10], [3, 8, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 5, 6, 7, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #668, realization space
  Hyperplanes: [[6, 7, 8], [4, 9, 10], [3, 6, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 5, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #678, realization space
  Hyperplanes: [[6, 7, 8], [5, 7, 10], [3, 8, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #770, realization space
  Hyperplanes: [[5, 9, 10], [5, 6, 7], [4, 8, 9], [3, 8, 10], [3, 6, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 6, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #798, realization space
  Hyperplanes: [[6, 8, 10], [5, 6, 7], [4, 9, 10], [3, 6, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 8, 9], [1, 7, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 3, 5, 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
  • [3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #819, realization space
  Hyperplanes: [[6, 8, 10], [5, 9, 10], [5, 6, 7], [3, 8, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #884, realization space
  Hyperplanes: [[6, 8, 9], [5, 6, 7], [4, 9, 10], [3, 5, 9], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 8, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 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, 6, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #894, realization space
  Hyperplanes: [[7, 8, 10], [6, 8, 9], [5, 6, 7], [3, 6, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], 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, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #896, realization space
  Hyperplanes: [[6, 8, 9], [5, 6, 7], [4, 8, 10], [3, 6, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 9, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], 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, 8, 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, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #903, realization space
  Hyperplanes: [[7, 8, 10], [6, 8, 9], [5, 6, 7], [4, 9, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 2, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #904, realization space
  Hyperplanes: [[7, 8, 10], [6, 8, 9], [5, 6, 7], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #906, realization space
  Hyperplanes: [[7, 9, 10], [6, 8, 9], [5, 6, 7], [4, 8, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 1
    Counterexample? No
  • [1, 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: 1
    Counterexample? No
• ID: PolyDB #907, realization space
  Hyperplanes: [[6, 8, 9], [5, 6, 7], [3, 8, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 2, 4, 7, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #908, realization space
  Hyperplanes: [[7, 9, 10], [6, 8, 9], [5, 6, 7], [3, 8, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #909, realization space
  Hyperplanes: [[6, 8, 9], [5, 6, 7], [4, 9, 10], [3, 8, 10], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 2, 4, 7, 8, 9], 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, 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, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #918, realization space
  Hyperplanes: [[7, 8, 10], [5, 6, 7], [4, 8, 9], [3, 6, 10], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 4, 5], [1, 2, 3]]
  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, 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, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #923, realization space
  Hyperplanes: [[7, 8, 10], [5, 6, 7], [4, 8, 9], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  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, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 8, 9], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [3, 4, 5, 6, 8, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #947, realization space
  Hyperplanes: [[5, 6, 7], [4, 9, 10], [3, 6, 8], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 2
  Conics:
  
  • [1, 3, 5, 7, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #958, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [4, 9, 10], [3, 6, 8], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 7, 8, 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, 3, 5, 8, 9, 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
  • [2, 3, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #959, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [3, 9, 10], [3, 6, 8], [3, 4, 7], [2, 7, 10], [2, 5, 8], [2, 4, 6], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [1, 3, 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
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #961, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [4, 9, 10], [3, 6, 8], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 8, 9, 10], 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, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #962, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [3, 9, 10], [3, 6, 8], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 8, 9, 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
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #963, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [3, 6, 8], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 4, 8, 9, 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
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [3, 4, 5, 8, 9, 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
• ID: PolyDB #964, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [4, 8, 10], [3, 6, 8], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 3, 5, 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, 5, 6, 9, 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, 9, 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
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #965, realization space
  Hyperplanes: [[7, 8, 9], [5, 6, 7], [4, 8, 10], [3, 6, 8], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 3, 5, 8, 9, 10], realization space, effective class
    RS dimension: -1
    
  • [3, 4, 5, 6, 9, 10], realization space, effective class
    RS dimension: -1
    
• ID: PolyDB #984, realization space
  Hyperplanes: [[7, 8, 10], [5, 6, 7], [3, 6, 8], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 6, 10], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], 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, 4, 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
  • [4, 5, 6, 8, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
• ID: PolyDB #992, realization space
  Hyperplanes: [[8, 9, 10], [5, 6, 7], [3, 6, 8], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No
  • [2, 3, 6, 7, 9, 10], realization space, effective class
    RS dimension: -1
    Counterexample? No
  • [2, 4, 5, 7, 9, 10], realization space, effective class
    RS dimension: 0
    Counterexample? No
• ID: PolyDB #994, realization space
  Hyperplanes: [[5, 6, 7], [4, 8, 10], [3, 6, 8], [3, 5, 9], [3, 4, 7], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 1
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    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, 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
• ID: PolyDB #995, realization space
  Hyperplanes: [[5, 6, 7], [4, 8, 10], [3, 6, 8], [3, 5, 9], [3, 4, 7], [2, 9, 10], [2, 5, 8], [2, 4, 6], [1, 7, 10], [1, 6, 9], [1, 4, 5], [1, 2, 3]]
  Context: Conic enhancement
  RS dimension: 0
  Conics:
  
  • [1, 2, 4, 7, 8, 9], realization space, effective class
    RS dimension: 0
    Counterexample? No