valid Gale configurations (polytopes generated):  {5: 1, 6: 6, 7: 825}
combinatorial types with 5 vertices: 1
    (5, 10, 10, 5) 1
combinatorial types with 6 vertices: 4
    (6, 13, 13, 6) 1
    (6, 14, 15, 7) 1
    (6, 14, 16, 8) 1
    (6, 15, 18, 9) 1
combinatorial types with 7 vertices: 31
    (7, 15, 14, 6) 1
    (7, 16, 16, 7) 2
    (7, 17, 17, 7) 1
    (7, 17, 18, 8) 4
    (7, 17, 19, 9) 1
    (7, 18, 19, 8) 1
    (7, 18, 20, 9) 6
    (7, 18, 21, 10) 4
    (7, 18, 22, 11) 1
    (7, 19, 22, 10) 2
    (7, 19, 23, 11) 3
    (7, 19, 24, 12) 2
    (7, 20, 25, 12) 1
    (7, 20, 26, 13) 1
    (7, 21, 28, 14) 1
2.1s
exit 0
