classes 13 non-unit forms 10 normalized eps per 4-set 40
N=5: form choices 45; admissible (forms,U) configurations: 588 {'plane': 384, 'line': 180, 'zero': 24}
   realised & brute-force verified: 588 of 588; distinct primitive sets: 69
   examples: [(1, 2, 3, 4, 5), (1, 2, 3, 4, 6), (1, 2, 3, 5, 6), (1, 3, 4, 5, 6), (2, 3, 4, 5, 6), (1, 2, 3, 6, 7)]
N=6: form choices 120; admissible (forms,U) configurations: 1692 {'line': 276, 'plane': 1400, 'zero': 16}
   realised & brute-force verified: 1692 of 1692; distinct primitive sets: 62
   examples: [(1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 5, 7), (1, 2, 3, 4, 6, 7), (1, 2, 4, 5, 6, 7), (1, 2, 3, 5, 6, 8), (1, 2, 3, 6, 7, 9)]
N=7: form choices 210; admissible (forms,U) configurations: 0 {}
N=8: form choices 252; admissible (forms,U) configurations: 0 {}
N=7 WITHOUT the distinctness condition C2: admissible configurations 13447 [('line', (0, 1, -2), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0))), ('plane', (6, 2, -1), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0))), ('plane', (4, 2, -1), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0)))]
N=8 WITHOUT the distinctness condition C2: admissible configurations 13218 [('plane', (6, 2, 1), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0), (1, -1, 1))), ('plane', (5, 2, 1), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0), (1, -1, 1))), ('plane', (4, 2, 1), ((0, 1, -1), (0, 1, 1), (1, -1, -1), (1, -1, 0), (1, -1, 1)))]
