############################################################################# ## #W paige.tbl Paige loops G. P. Nagy / P. Vojtechovsky ## #H @(#)$Id: paige.tbl, v 3.1.0 2015/09/23 gap Exp $ ## #Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary), #Y P. Vojtechovsky (University of Denver, USA) ## # (MATH) Paige loops = nonassociative finite simple Moufang loops LOOPS_paige_data := [ # implemented orders [ 120 ], # number of loops of given order [ 1 ], # the loops [ # order 120 [ # Paige loop over GF( 2 ) [ [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ], [ 2, 1, 4, 3, 6, 5, 8, 7, 13, 14, 15, 16, 9, 10, 11, 12, 22, 21, 24, 23, 18, 17, 20, 19, 29, 30, 31, 32, 25, 26, 27, 28, 36, 35, 34, 33, 40, 39, 38, 37, 45, 46, 47, 48, 41, 42, 43, 44, 56, 55, 54, 53, 52, 51, 50, 49, 58, 57, 60, 59, 62, 61, 64, 63, 66, 65, 68, 67, 70, 69, 72, 71, 78, 77, 80, 79, 74, 73, 76, 75, 86, 85, 88, 87, 82, 81, 84, 83, 92, 91, 90, 89, 96, 95, 94, 93, 100, 99, 98, 97, 104, 103, 102, 101, 112, 111, 110, 109, 108, 107, 106, 105, 120, 119, 118, 117, 116, 115, 114, 113 ], [ 3, 4, 1, 2, 8, 7, 6, 5, 19, 20, 17, 18, 24, 23, 22, 21, 11, 12, 9, 10, 16, 15, 14, 13, 26, 25, 32, 31, 30, 29, 28, 27, 35, 36, 33, 34, 38, 37, 40, 39, 51, 52, 49, 50, 54, 53, 56, 55, 43, 44, 41, 42, 46, 45, 48, 47, 89, 92, 91, 90, 93, 96, 95, 94, 97, 100, 99, 98, 101, 104, 103, 102, 113, 116, 115, 114, 117, 120, 119, 118, 105, 108, 107, 106, 109, 112, 111, 110, 57, 60, 59, 58, 61, 64, 63, 62, 65, 68, 67, 66, 69, 72, 71, 70, 81, 84, 83, 82, 85, 88, 87, 86, 73, 76, 75, 74, 77, 80, 79, 78 ], [ 4, 3, 2, 1, 7, 8, 5, 6, 23, 24, 21, 22, 20, 19, 18, 17, 16, 15, 14, 13, 11, 12, 9, 10, 30, 29, 28, 27, 26, 25, 32, 31, 34, 33, 36, 35, 39, 40, 37, 38, 53, 54, 55, 56, 52, 51, 50, 49, 48, 47, 46, 45, 41, 42, 43, 44, 90, 91, 92, 89, 94, 95, 96, 93, 98, 99, 100, 97, 102, 103, 104, 101, 118, 119, 120, 117, 114, 115, 116, 113, 110, 111, 112, 109, 106, 107, 108, 105, 60, 57, 58, 59, 64, 61, 62, 63, 68, 65, 66, 67, 72, 69, 70, 71, 88, 85, 86, 87, 84, 81, 82, 83, 80, 77, 78, 79, 76, 73, 74, 75 ], [ 5, 6, 8, 7, 1, 2, 4, 3, 10, 9, 16, 15, 14, 13, 12, 11, 21, 22, 20, 19, 17, 18, 24, 23, 37, 38, 33, 34, 40, 39, 36, 35, 27, 28, 32, 31, 25, 26, 30, 29, 52, 51, 56, 55, 53, 54, 49, 50, 47, 48, 42, 41, 45, 46, 44, 43, 73, 78, 75, 80, 77, 74, 79, 76, 81, 86, 83, 88, 85, 82, 87, 84, 57, 62, 59, 64, 61, 58, 63, 60, 65, 70, 67, 72, 69, 66, 71, 68, 113, 118, 115, 120, 117, 114, 119, 116, 105, 110, 107, 112, 109, 106, 111, 108, 97, 102, 99, 104, 101, 98, 103, 100, 89, 94, 91, 96, 93, 90, 95, 92 ], [ 6, 5, 7, 8, 2, 1, 3, 4, 14, 13, 12, 11, 10, 9, 16, 15, 18, 17, 23, 24, 22, 21, 19, 20, 39, 40, 35, 36, 38, 37, 34, 33, 32, 31, 27, 28, 30, 29, 25, 26, 54, 53, 50, 49, 51, 52, 55, 56, 44, 43, 45, 46, 42, 41, 47, 48, 74, 77, 76, 79, 78, 73, 80, 75, 82, 85, 84, 87, 86, 81, 88, 83, 62, 57, 64, 59, 58, 61, 60, 63, 70, 65, 72, 67, 66, 69, 68, 71, 116, 119, 114, 117, 120, 115, 118, 113, 108, 111, 106, 109, 112, 107, 110, 105, 104, 99, 102, 97, 100, 103, 98, 101, 96, 91, 94, 89, 92, 95, 90, 93 ], [ 7, 8, 6, 5, 4, 3, 1, 2, 20, 19, 22, 21, 23, 24, 17, 18, 15, 16, 10, 9, 12, 11, 13, 14, 38, 37, 36, 35, 39, 40, 33, 34, 31, 32, 28, 27, 26, 25, 29, 30, 42, 41, 48, 47, 46, 45, 44, 43, 55, 56, 52, 51, 54, 53, 49, 50, 105, 112, 107, 110, 109, 108, 111, 106, 113, 120, 115, 118, 117, 116, 119, 114, 97, 104, 99, 102, 101, 100, 103, 98, 89, 96, 91, 94, 93, 92, 95, 90, 81, 88, 83, 86, 85, 84, 87, 82, 73, 80, 75, 78, 77, 76, 79, 74, 57, 64, 59, 62, 61, 60, 63, 58, 65, 72, 67, 70, 69, 68, 71, 66 ], [ 8, 7, 5, 6, 3, 4, 2, 1, 24, 23, 18, 17, 19, 20, 21, 22, 12, 11, 13, 14, 15, 16, 10, 9, 40, 39, 34, 33, 37, 38, 35, 36, 28, 27, 31, 32, 29, 30, 26, 25, 46, 45, 44, 43, 42, 41, 48, 47, 50, 49, 53, 54, 51, 52, 56, 55, 106, 111, 108, 109, 110, 107, 112, 105, 114, 119, 116, 117, 118, 115, 120, 113, 102, 99, 104, 97, 98, 103, 100, 101, 94, 91, 96, 89, 90, 95, 92, 93, 84, 85, 82, 87, 88, 81, 86, 83, 76, 77, 74, 79, 80, 73, 78, 75, 64, 57, 62, 59, 60, 61, 58, 63, 72, 65, 70, 67, 68, 69, 66, 71 ], [ 9, 13, 11, 15, 10, 14, 12, 16, 1, 5, 3, 7, 2, 6, 4, 8, 19, 23, 17, 21, 20, 24, 18, 22, 57, 61, 59, 63, 58, 62, 60, 64, 75, 79, 76, 80, 73, 77, 74, 78, 66, 70, 68, 72, 65, 69, 67, 71, 83, 87, 82, 86, 81, 85, 84, 88, 25, 29, 27, 31, 26, 30, 28, 32, 45, 41, 47, 43, 46, 42, 48, 44, 37, 39, 33, 35, 38, 40, 34, 36, 53, 51, 49, 55, 54, 52, 50, 56, 93, 95, 94, 96, 89, 91, 90, 92, 109, 107, 110, 108, 105, 111, 106, 112, 101, 103, 98, 100, 97, 99, 102, 104, 117, 115, 114, 120, 113, 119, 118, 116 ], [ 10, 14, 12, 16, 9, 13, 11, 15, 5, 1, 7, 3, 6, 2, 8, 4, 24, 20, 22, 18, 23, 19, 21, 17, 59, 63, 57, 61, 60, 64, 58, 62, 73, 77, 74, 78, 75, 79, 76, 80, 72, 68, 70, 66, 71, 67, 69, 65, 85, 81, 88, 84, 87, 83, 86, 82, 27, 31, 25, 29, 28, 32, 26, 30, 48, 44, 46, 42, 47, 43, 45, 41, 33, 35, 37, 39, 34, 36, 38, 40, 50, 56, 54, 52, 49, 55, 53, 51, 96, 94, 95, 93, 92, 90, 91, 89, 112, 106, 111, 105, 108, 110, 107, 109, 100, 98, 103, 101, 104, 102, 99, 97, 116, 118, 119, 113, 120, 114, 115, 117 ], [ 11, 16, 9, 14, 12, 15, 10, 13, 17, 22, 19, 24, 18, 21, 20, 23, 3, 8, 1, 6, 4, 7, 2, 5, 89, 93, 92, 96, 90, 94, 91, 95, 108, 112, 107, 111, 105, 109, 106, 110, 114, 118, 115, 119, 113, 117, 116, 120, 100, 104, 98, 102, 97, 101, 99, 103, 26, 32, 28, 30, 25, 31, 27, 29, 46, 43, 48, 41, 45, 44, 47, 42, 54, 56, 49, 51, 53, 55, 50, 52, 38, 35, 33, 40, 37, 36, 34, 39, 61, 64, 62, 63, 57, 60, 58, 59, 77, 76, 78, 75, 73, 80, 74, 79, 85, 88, 82, 83, 81, 84, 86, 87, 69, 68, 66, 71, 65, 72, 70, 67 ], [ 12, 15, 10, 13, 11, 16, 9, 14, 21, 18, 23, 20, 22, 17, 24, 19, 8, 3, 6, 1, 7, 4, 5, 2, 91, 95, 90, 94, 92, 96, 89, 93, 106, 110, 105, 109, 107, 111, 108, 112, 120, 116, 117, 113, 119, 115, 118, 114, 102, 98, 104, 100, 103, 99, 101, 97, 28, 30, 26, 32, 27, 29, 25, 31, 47, 42, 45, 44, 48, 41, 46, 43, 50, 52, 53, 55, 49, 51, 54, 56, 33, 40, 38, 35, 34, 39, 37, 36, 64, 61, 63, 62, 60, 57, 59, 58, 80, 73, 79, 74, 76, 77, 75, 78, 84, 81, 87, 86, 88, 85, 83, 82, 68, 69, 71, 66, 72, 65, 67, 70 ], [ 13, 9, 16, 12, 14, 10, 15, 11, 2, 6, 8, 4, 1, 5, 7, 3, 23, 19, 18, 22, 24, 20, 17, 21, 65, 69, 71, 67, 66, 70, 72, 68, 87, 83, 88, 84, 81, 85, 82, 86, 58, 62, 64, 60, 57, 61, 63, 59, 79, 75, 74, 78, 73, 77, 80, 76, 45, 41, 48, 44, 46, 42, 47, 43, 25, 29, 28, 32, 26, 30, 27, 31, 53, 51, 50, 56, 54, 52, 49, 55, 37, 39, 34, 36, 38, 40, 33, 35, 117, 115, 118, 116, 113, 119, 114, 120, 101, 103, 102, 104, 97, 99, 98, 100, 109, 107, 106, 112, 105, 111, 110, 108, 93, 95, 90, 92, 89, 91, 94, 96 ], [ 14, 10, 15, 11, 13, 9, 16, 12, 6, 2, 4, 8, 5, 1, 3, 7, 20, 24, 21, 17, 19, 23, 22, 18, 67, 71, 69, 65, 68, 72, 70, 66, 85, 81, 86, 82, 83, 87, 84, 88, 64, 60, 58, 62, 63, 59, 57, 61, 73, 77, 80, 76, 79, 75, 74, 78, 47, 43, 46, 42, 48, 44, 45, 41, 28, 32, 25, 29, 27, 31, 26, 30, 49, 55, 54, 52, 50, 56, 53, 51, 34, 36, 37, 39, 33, 35, 38, 40, 120, 114, 119, 113, 116, 118, 115, 117, 104, 102, 103, 101, 100, 98, 99, 97, 108, 110, 111, 105, 112, 106, 107, 109, 92, 90, 95, 93, 96, 94, 91, 89 ], [ 15, 12, 14, 9, 16, 11, 13, 10, 18, 21, 24, 19, 17, 22, 23, 20, 7, 4, 2, 5, 8, 3, 1, 6, 97, 101, 104, 100, 98, 102, 103, 99, 120, 116, 119, 115, 113, 117, 114, 118, 106, 110, 111, 107, 105, 109, 112, 108, 96, 92, 90, 94, 89, 93, 95, 91, 46, 44, 47, 41, 45, 43, 48, 42, 26, 31, 27, 30, 25, 32, 28, 29, 38, 36, 34, 40, 37, 35, 33, 39, 54, 55, 50, 51, 53, 56, 49, 52, 85, 84, 86, 83, 81, 88, 82, 87, 69, 72, 70, 71, 65, 68, 66, 67, 61, 60, 58, 63, 57, 64, 62, 59, 77, 80, 74, 75, 73, 76, 78, 79 ], [ 16, 11, 13, 10, 15, 12, 14, 9, 22, 17, 20, 23, 21, 18, 19, 24, 4, 7, 5, 2, 3, 8, 6, 1, 99, 103, 102, 98, 100, 104, 101, 97, 118, 114, 117, 113, 115, 119, 116, 120, 112, 108, 105, 109, 111, 107, 106, 110, 90, 94, 96, 92, 95, 91, 89, 93, 48, 42, 45, 43, 47, 41, 46, 44, 27, 30, 26, 31, 28, 29, 25, 32, 34, 40, 38, 36, 33, 39, 37, 35, 49, 52, 53, 56, 50, 51, 54, 55, 88, 81, 87, 82, 84, 85, 83, 86, 72, 69, 71, 70, 68, 65, 67, 66, 60, 61, 63, 58, 64, 57, 59, 62, 76, 73, 79, 78, 80, 77, 75, 74 ], [ 17, 22, 19, 24, 21, 18, 23, 20, 11, 16, 9, 14, 15, 12, 13, 10, 1, 6, 3, 8, 5, 2, 7, 4, 93, 89, 94, 90, 96, 92, 95, 91, 114, 118, 115, 119, 117, 113, 120, 116, 108, 112, 107, 111, 109, 105, 110, 106, 98, 102, 100, 104, 101, 97, 103, 99, 61, 62, 64, 63, 57, 58, 60, 59, 85, 82, 88, 83, 81, 86, 84, 87, 77, 78, 76, 75, 73, 74, 80, 79, 69, 66, 68, 71, 65, 70, 72, 67, 26, 28, 32, 30, 25, 27, 31, 29, 54, 49, 56, 51, 53, 50, 55, 52, 46, 48, 43, 41, 45, 47, 44, 42, 38, 33, 35, 40, 37, 34, 36, 39 ], [ 18, 21, 20, 23, 22, 17, 24, 19, 15, 12, 13, 10, 11, 16, 9, 14, 6, 1, 8, 3, 2, 5, 4, 7, 95, 91, 96, 92, 94, 90, 93, 89, 116, 120, 113, 117, 119, 115, 118, 114, 110, 106, 109, 105, 107, 111, 108, 112, 104, 100, 102, 98, 99, 103, 97, 101, 62, 61, 63, 64, 58, 57, 59, 60, 86, 81, 87, 84, 82, 85, 83, 88, 74, 73, 79, 80, 78, 77, 75, 76, 66, 69, 71, 68, 70, 65, 67, 72, 32, 30, 26, 28, 31, 29, 25, 27, 55, 52, 53, 50, 56, 51, 54, 49, 44, 42, 45, 47, 43, 41, 46, 48, 35, 40, 38, 33, 36, 39, 37, 34 ], [ 19, 23, 17, 21, 24, 20, 22, 18, 3, 7, 1, 5, 8, 4, 6, 2, 9, 13, 11, 15, 14, 10, 16, 12, 61, 57, 63, 59, 64, 60, 62, 58, 83, 87, 82, 86, 85, 81, 88, 84, 68, 72, 66, 70, 69, 65, 71, 67, 75, 79, 76, 80, 77, 73, 78, 74, 93, 95, 96, 94, 89, 91, 92, 90, 117, 115, 120, 114, 113, 119, 116, 118, 101, 103, 100, 98, 97, 99, 104, 102, 109, 107, 108, 110, 105, 111, 112, 106, 25, 29, 31, 27, 26, 30, 32, 28, 53, 51, 55, 49, 54, 52, 56, 50, 37, 39, 35, 33, 38, 40, 36, 34, 45, 41, 43, 47, 46, 42, 44, 48 ], [ 20, 24, 18, 22, 23, 19, 21, 17, 7, 3, 5, 1, 4, 8, 2, 6, 14, 10, 16, 12, 9, 13, 11, 15, 63, 59, 61, 57, 62, 58, 64, 60, 81, 85, 84, 88, 87, 83, 86, 82, 70, 66, 72, 68, 67, 71, 65, 69, 77, 73, 78, 74, 75, 79, 76, 80, 94, 96, 95, 93, 90, 92, 91, 89, 118, 116, 119, 113, 114, 120, 115, 117, 98, 100, 103, 101, 102, 104, 99, 97, 106, 112, 111, 105, 110, 108, 107, 109, 31, 27, 25, 29, 32, 28, 26, 30, 56, 50, 54, 52, 55, 49, 53, 51, 35, 33, 37, 39, 36, 34, 38, 40, 44, 48, 46, 42, 43, 47, 45, 41 ], [ 21, 18, 24, 19, 17, 22, 20, 23, 12, 15, 14, 9, 16, 11, 10, 13, 5, 2, 4, 7, 1, 6, 8, 3, 101, 97, 98, 102, 104, 100, 99, 103, 110, 106, 111, 107, 109, 105, 112, 108, 116, 120, 119, 115, 117, 113, 114, 118, 94, 90, 92, 96, 93, 89, 91, 95, 77, 74, 80, 75, 73, 78, 76, 79, 69, 70, 72, 71, 65, 66, 68, 67, 61, 58, 60, 63, 57, 62, 64, 59, 85, 86, 84, 83, 81, 82, 88, 87, 54, 50, 55, 51, 53, 49, 56, 52, 26, 27, 31, 30, 25, 28, 32, 29, 38, 34, 36, 40, 37, 33, 35, 39, 46, 47, 44, 41, 45, 48, 43, 42 ], [ 22, 17, 23, 20, 18, 21, 19, 24, 16, 11, 10, 13, 12, 15, 14, 9, 2, 5, 7, 4, 6, 1, 3, 8, 103, 99, 100, 104, 102, 98, 97, 101, 112, 108, 109, 105, 111, 107, 110, 106, 118, 114, 113, 117, 115, 119, 120, 116, 92, 96, 94, 90, 91, 95, 93, 89, 78, 73, 79, 76, 74, 77, 75, 80, 70, 69, 71, 72, 66, 65, 67, 68, 58, 61, 63, 60, 62, 57, 59, 64, 82, 81, 87, 88, 86, 85, 83, 84, 56, 52, 53, 49, 55, 51, 54, 50, 31, 30, 26, 27, 32, 29, 25, 28, 36, 40, 38, 34, 35, 39, 37, 33, 43, 42, 45, 48, 44, 41, 46, 47 ], [ 23, 19, 22, 18, 20, 24, 17, 21, 4, 8, 6, 2, 7, 3, 1, 5, 13, 9, 12, 16, 10, 14, 15, 11, 69, 65, 67, 71, 72, 68, 66, 70, 79, 75, 78, 74, 77, 73, 80, 76, 60, 64, 62, 58, 61, 57, 59, 63, 87, 83, 84, 88, 85, 81, 82, 86, 109, 107, 112, 106, 105, 111, 108, 110, 101, 103, 104, 102, 97, 99, 100, 98, 117, 115, 116, 118, 113, 119, 120, 114, 93, 95, 92, 90, 89, 91, 96, 94, 53, 51, 56, 50, 54, 52, 55, 49, 25, 29, 32, 28, 26, 30, 31, 27, 45, 41, 44, 48, 46, 42, 43, 47, 37, 39, 36, 34, 38, 40, 35, 33 ], [ 24, 20, 21, 17, 19, 23, 18, 22, 8, 4, 2, 6, 3, 7, 5, 1, 10, 14, 15, 11, 13, 9, 12, 16, 71, 67, 65, 69, 70, 66, 68, 72, 77, 73, 80, 76, 79, 75, 78, 74, 62, 58, 60, 64, 59, 63, 61, 57, 81, 85, 86, 82, 83, 87, 88, 84, 110, 108, 111, 105, 106, 112, 107, 109, 102, 104, 103, 101, 98, 100, 99, 97, 114, 120, 119, 113, 118, 116, 115, 117, 90, 92, 95, 93, 94, 96, 91, 89, 55, 49, 54, 52, 56, 50, 53, 51, 32, 28, 25, 29, 31, 27, 26, 30, 43, 47, 46, 42, 44, 48, 45, 41, 36, 34, 37, 39, 35, 33, 38, 40 ], [ 25, 29, 26, 30, 27, 31, 28, 32, 57, 59, 61, 63, 58, 60, 62, 64, 93, 95, 89, 91, 94, 96, 90, 92, 1, 3, 5, 7, 2, 4, 6, 8, 37, 39, 38, 40, 33, 35, 34, 36, 65, 67, 69, 71, 66, 68, 70, 72, 101, 103, 97, 99, 98, 100, 102, 104, 9, 13, 10, 14, 11, 15, 12, 16, 41, 45, 42, 46, 43, 47, 44, 48, 75, 79, 73, 77, 76, 80, 74, 78, 107, 109, 105, 111, 108, 110, 106, 112, 19, 23, 20, 24, 17, 21, 18, 22, 51, 53, 52, 54, 49, 55, 50, 56, 83, 87, 81, 85, 82, 86, 84, 88, 115, 117, 113, 119, 114, 120, 116, 118 ], [ 26, 30, 25, 29, 28, 32, 27, 31, 61, 63, 57, 59, 62, 64, 58, 60, 89, 91, 93, 95, 90, 92, 94, 96, 3, 1, 7, 5, 4, 2, 8, 6, 40, 38, 39, 37, 36, 34, 35, 33, 71, 69, 67, 65, 72, 70, 68, 66, 99, 97, 103, 101, 104, 102, 100, 98, 11, 15, 12, 16, 9, 13, 10, 14, 44, 48, 43, 47, 42, 46, 41, 45, 80, 76, 78, 74, 79, 75, 77, 73, 112, 106, 110, 108, 111, 105, 109, 107, 17, 21, 18, 22, 19, 23, 20, 24, 50, 56, 49, 55, 52, 54, 51, 53, 86, 82, 88, 84, 87, 83, 85, 81, 118, 116, 120, 114, 119, 113, 117, 115 ], [ 27, 32, 28, 31, 25, 30, 26, 29, 73, 75, 78, 80, 74, 76, 77, 79, 110, 112, 105, 107, 109, 111, 106, 108, 33, 36, 37, 40, 34, 35, 38, 39, 5, 8, 6, 7, 1, 4, 2, 3, 113, 115, 118, 120, 114, 116, 117, 119, 86, 88, 81, 83, 82, 84, 85, 87, 10, 16, 9, 15, 12, 14, 11, 13, 42, 47, 41, 48, 44, 45, 43, 46, 59, 64, 57, 62, 60, 63, 58, 61, 91, 94, 89, 96, 92, 93, 90, 95, 52, 56, 51, 55, 49, 53, 50, 54, 20, 21, 19, 22, 17, 24, 18, 23, 99, 104, 97, 102, 98, 101, 100, 103, 67, 70, 65, 72, 66, 71, 68, 69 ], [ 28, 31, 27, 32, 26, 29, 25, 30, 77, 79, 74, 76, 78, 80, 73, 75, 106, 108, 109, 111, 105, 107, 110, 112, 35, 34, 39, 38, 36, 33, 40, 37, 8, 5, 7, 6, 4, 1, 3, 2, 119, 117, 116, 114, 120, 118, 115, 113, 84, 82, 87, 85, 88, 86, 83, 81, 12, 14, 11, 13, 10, 16, 9, 15, 43, 46, 44, 45, 41, 48, 42, 47, 64, 59, 62, 57, 63, 60, 61, 58, 96, 89, 94, 91, 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