N=5: 45 choices of forms, 4104 admissible subspaces (distinct, all kinds), 45 choices with one
   by kind: {'line': 720, 'plane': 3360, 'zero': 24} ; all realized and checked directly: True ; distinct realized sets (up to scaling): 86
   realized set (1, 2, 3, 4, 5) found: True
N=6: 120 choices of forms, 9268 admissible subspaces (distinct, all kinds), 120 choices with one
   by kind: {'line': 900, 'plane': 8352, 'zero': 16} ; all realized and checked directly: True ; distinct realized sets (up to scaling): 72
   realized set (1, 2, 3, 4, 5, 6) found: True
   realized set (1, 2, 3, 4, 5, 7) found: True
N=7: 210 choices of forms, 0 admissible subspaces (distinct, all kinds), 0 choices with one
N=8: 252 choices of forms, 0 admissible subspaces (distinct, all kinds), 0 choices with one
crosscheck M=40 size=5: 14979 sets without a dissociated 4-subset, 0 not explained
crosscheck M=40 size=6: 4203 sets without a dissociated 4-subset, 0 not explained
