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