//the Hall plane of order 9
hblox:=
[
    { 1, 5, 22, 27, 29, 45, 48, 49, 55, 82 },
    { 5, 8, 28, 41, 51, 66, 67, 78, 81, 83 },
    { 11, 12, 36, 40, 46, 53, 59, 63, 81, 82 },
    { 3, 10, 17, 24, 35, 58, 66, 77, 80, 82 },
    { 12, 21, 29, 35, 41, 42, 44, 47, 76, 84 },
    { 9, 15, 18, 25, 52, 55, 72, 77, 81, 84 },
    { 2, 3, 19, 38, 47, 48, 65, 70, 81, 85 },
    { 10, 14, 19, 32, 34, 49, 53, 64, 78, 84 },
    { 2, 14, 16, 18, 23, 30, 41, 50, 57, 82 },
    { 7, 11, 45, 50, 51, 54, 65, 71, 80, 84 },
    { 5, 6, 21, 36, 50, 60, 64, 77, 79, 85 },
    { 4, 13, 30, 33, 36, 39, 48, 61, 66, 84 },
    { 1, 6, 17, 26, 38, 40, 57, 67, 74, 84 },
    { 9, 16, 21, 24, 32, 33, 40, 45, 70, 83 },
    { 10, 12, 18, 22, 28, 33, 71, 73, 74, 85 },
    { 4, 7, 8, 9, 34, 38, 42, 73, 79, 82 },
    { 3, 23, 34, 36, 54, 55, 74, 75, 76, 83 },
    { 15, 19, 21, 31, 39, 43, 51, 69, 74, 82 },
    { 15, 22, 35, 53, 57, 61, 62, 65, 79, 83 },
    { 13, 25, 26, 28, 32, 47, 54, 60, 62, 82 },
    { 11, 17, 19, 27, 30, 44, 60, 72, 73, 83 },
    { 1, 11, 13, 15, 23, 24, 42, 56, 78, 85 },
    { 6, 20, 33, 37, 65, 68, 72, 76, 78, 82 },
    { 14, 20, 26, 42, 43, 48, 63, 71, 77, 83 },
    { 2, 24, 27, 28, 43, 46, 68, 75, 79, 84 },
    { 44, 52, 56, 61, 64, 67, 70, 71, 75, 82 },
    { 4, 16, 26, 29, 51, 53, 58, 72, 75, 85 },
    { 1, 4, 18, 37, 46, 47, 64, 69, 80, 83 },
    { 2, 6, 7, 12, 25, 39, 49, 56, 58, 83 },
    { 8, 14, 27, 39, 40, 52, 62, 76, 80, 85 },
    { 9, 30, 35, 37, 43, 49, 54, 59, 67, 85 },
    { 17, 20, 25, 31, 34, 41, 45, 46, 61, 85 },
    { 7, 32, 44, 55, 57, 63, 66, 68, 69, 85 },
    { 10, 13, 29, 31, 38, 50, 52, 59, 68, 83 },
    { 8, 20, 22, 23, 58, 59, 60, 69, 70, 84 },
    { 3, 5, 16, 31, 37, 56, 62, 63, 73, 84 },
    { 11, 21, 28, 34, 37, 48, 52, 57, 58, 86 },
    { 21, 23, 38, 46, 49, 62, 66, 71, 72, 87 },
    { 3, 7, 18, 21, 26, 27, 59, 61, 78, 88 },
    { 3, 11, 14, 25, 29, 33, 67, 69, 79, 87 },
    { 6, 8, 18, 24, 31, 44, 48, 53, 54, 87 },
    { 24, 26, 36, 41, 49, 52, 65, 69, 73, 89 },
    { 16, 17, 28, 39, 42, 55, 59, 64, 65, 87 },
    { 2, 5, 10, 40, 42, 54, 61, 69, 72, 86 },
    { 5, 12, 15, 26, 30, 34, 68, 70, 80, 87 },
    { 5, 9, 13, 14, 44, 46, 58, 65, 74, 88 },
    { 28, 30, 38, 45, 53, 56, 69, 76, 77, 88 },
    { 32, 41, 48, 56, 59, 72, 74, 79, 80, 90 },
    { 15, 27, 33, 38, 41, 54, 58, 63, 64, 91 },
    { 7, 10, 15, 16, 46, 48, 60, 67, 76, 89 },
    { 3, 8, 12, 13, 43, 45, 57, 64, 72, 89 },
    { 31, 33, 42, 49, 57, 60, 75, 80, 81, 88 },
    { 9, 12, 17, 48, 50, 62, 69, 75, 78, 91 },
    { 25, 27, 37, 42, 50, 53, 66, 70, 74, 89 },
    { 4, 6, 10, 11, 41, 43, 55, 62, 70, 88 },
    { 1, 8, 10, 21, 25, 30, 63, 65, 75, 90 },
    { 29, 39, 46, 54, 57, 70, 73, 77, 78, 90 },
    { 7, 20, 24, 29, 30, 62, 64, 74, 81, 86 },
    { 12, 14, 24, 37, 38, 51, 55, 60, 61, 90 },
    { 4, 5, 19, 24, 25, 57, 59, 71, 76, 91 },
    { 4, 12, 23, 27, 31, 32, 65, 67, 77, 86 },
    { 16, 22, 25, 36, 38, 43, 44, 78, 80, 86 },
    { 22, 24, 34, 39, 47, 50, 63, 67, 72, 88 },
    { 18, 29, 34, 40, 43, 56, 60, 65, 66, 91 },
    { 3, 4, 15, 20, 28, 40, 44, 49, 50, 90 },
    { 5, 11, 18, 20, 32, 35, 38, 39, 75, 89 },
    { 2, 9, 11, 22, 26, 31, 64, 66, 76, 90 },
    { 1, 32, 43, 50, 58, 61, 73, 76, 81, 87 },
    { 5, 7, 17, 23, 33, 43, 47, 52, 53, 90 },
    { 10, 23, 26, 37, 39, 44, 45, 79, 81, 91 },
    { 1, 7, 14, 28, 31, 35, 36, 70, 72, 91 },
    { 9, 10, 20, 27, 36, 47, 51, 56, 57, 87 },
    { 1, 2, 33, 34, 44, 51, 59, 62, 77, 89 },
    { 30, 31, 40, 47, 55, 58, 71, 78, 79, 89 },
    { 2, 13, 20, 21, 53, 55, 67, 73, 80, 91 },
    { 13, 17, 18, 49, 51, 63, 70, 76, 79, 86 },
    { 2, 4, 35, 45, 52, 60, 63, 74, 78, 87 },
    { 2, 8, 15, 17, 29, 32, 36, 37, 71, 88 },
    { 6, 9, 19, 23, 28, 29, 61, 63, 80, 89 },
    { 6, 13, 16, 27, 34, 35, 69, 71, 81, 90 },
    { 6, 14, 15, 45, 47, 59, 66, 73, 75, 86 },
    { 8, 11, 16, 47, 49, 61, 68, 74, 77, 91 },
    { 1, 3, 9, 39, 41, 53, 60, 68, 71, 86 },
    { 7, 13, 19, 22, 37, 40, 41, 75, 77, 87 },
    { 18, 19, 36, 42, 45, 58, 62, 67, 68, 90 },
    { 1, 12, 16, 19, 20, 52, 54, 66, 79, 88 },
    { 4, 14, 17, 21, 22, 54, 56, 68, 81, 89 },
    { 8, 19, 26, 33, 35, 46, 50, 55, 56, 86 },
    { 23, 25, 35, 40, 48, 51, 64, 68, 73, 88 },
    { 3, 6, 22, 30, 32, 42, 46, 51, 52, 91 },
    { 82, 83, 84, 85, 86, 87, 88, 89, 90, 91 }
];
fano:={ 1, 2, 3, 10, 65, 77, 86 };
baer1:={ 7, 14, 32, 51, 52, 53, 55, 72, 80, 84, 85, 90, 91 };
baer2:={ 4, 53, 55, 57, 62, 69, 75, 76, 80, 83, 85, 88, 91 };
//baer subplanes in distinct orbits, length 432 and 864 respectively