caps (sets of m planes, no three through a line) by m: {3: 420, 4: 945, 5: 1008, 6: 420, 7: 120, 8: 15}
lines C(m,2): {3: 3, 4: 6, 5: 10, 6: 15, 7: 21, 8: 28}
total number of pseudostars (m >= 3): 2928
coplanar sets: 35 single lines + 15 planes * (2^7 - 1 - 7) sets of >= 2 lines = 1835
total number of sets predicted by Theorem 1 to have gap 1: 4763
