[Introduction] - Groups of Genus: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

# Congruence Subgroups of PSL(2,Z) of Genus 9

Groups of Level: 12 14 15 16 17 19 20 21 22 24 26 28 30 32 33 34 35 36 39 40 42 43 44 45 48 49 50 51 52 55 56 57 58 60 63 64 65 66 68 70 72 73 74 75 76 78 80 82 84 87 88 90 93 95 96 99 100 102 104 105 106 107 108 113 116 119 120 122 123 128 130 148 154

^ Level 12 > 12A9 12B9 ^ Level 14 > Name Index con len c2 c3 SL(2,Z/12Z) Matrix Generators 192 1 4 0 0 [ 1, 9, 9, 10 ] , [ 11, 0, 0, 11 ] 288 1 3 0 0 [ 1, 0, 6, 1 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 6, 11 ] Name Index con len c2 c3 SL(2,Z/14Z) Matrix Generators 168 1 21 0 0 [ 1, 7, 7, 8 ] , [ 1, 12, 8, 13 ] , [ 13, 0, 0, 13 ] 168 1 28 0 0 [ 1, 12, 8, 13 ] , [ 11, 12, 0, 9 ] , [ 13, 0, 0, 13 ] 252 1 63 4 0 [ 1, 12, 1, 13 ] , [ 1, 12, 8, 13 ] , [ 13, 0, 0, 13 ] Name Index con len c2 c3 SL(2,Z/15Z) Matrix Generators 180 1 45 4 0 [ 4, 0, 0, 4 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 0, 6, 7 ] 240 1 4 0 0 [ 1, 0, 10, 1 ] , [ 4, 0, 10, 4 ] , [ 11, 0, 0, 11 ] 288 1 6 0 0 [ 4, 9, 9, 13 ] , [ 11, 6, 6, 2 ] Name Index con len c2 c3 SL(2,Z/16Z) Matrix Generators 192 1 3 0 0 [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 13, 8, 0, 5 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ] 192 1 3 0 0 [ 5, 8, 8, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 8, 8, 15 ] 192 1 3 0 0 [ 3, 4, 0, 11 ] , [ 5, 4, 0, 13 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 0, 9 ] , [ 11, 4, 0, 3 ] , [ 13, 4, 0, 5 ] 192 1 3 0 0 [ 3, 4, 8, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 0, 9 ] , [ 11, 4, 8, 3 ] , [ 13, 4, 8, 5 ] 192 1 3 0 0 [ 3, 12, 12, 11 ] , [ 5, 4, 4, 13 ] , [ 9, 8, 8, 9 ] , [ 11, 12, 12, 3 ] , [ 13, 4, 4, 5 ] , [ 15, 8, 8, 15 ] 192 1 12 0 0 [ 1, 4, 8, 1 ] , [ 1, 8, 0, 1 ] , [ 3, 14, 4, 3 ] , [ 15, 12, 8, 15 ] 192 1 12 0 0 [ 1, 4, 8, 1 ] , [ 1, 8, 0, 1 ] , [ 11, 6, 12, 11 ] , [ 15, 12, 8, 15 ] 192 1 24 0 0 [ 0, 15, 1, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 8, 8, 15 ] 192 1 24 8 0 [ 1, 8, 8, 1 ] , [ 4, 3, 5, 12 ] , [ 7, 12, 12, 7 ] , [ 9, 4, 4, 9 ] , [ 15, 0, 0, 15 ] 192 1 24 8 0 [ 1, 8, 8, 1 ] , [ 8, 3, 5, 8 ] , [ 15, 4, 4, 15 ] , [ 15, 8, 8, 15 ] 192 1 24 8 0 [ 8, 3, 5, 8 ] , [ 8, 5, 3, 8 ] , [ 8, 7, 9, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ] 192 1 24 8 0 [ 0, 1, 15, 0 ] , [ 5, 8, 8, 13 ] , [ 8, 3, 5, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ] Name Index con len c2 c3 SL(2,Z/17Z) Matrix Generators 204 1 102 4 6 [ 4, 12, 0, 13 ] , [ 10, 16, 16, 7 ] , [ 12, 3, 10, 4 ] , [ 16, 0, 0, 16 ] 204 1 102 4 6 [ 6, 14, 1, 11 ] , [ 7, 5, 7, 10 ] , [ 12, 16, 4, 4 ] , [ 16, 0, 0, 16 ] Name Index con len c2 c3 SL(2,Z/19Z) Matrix Generators 190 1 190 10 1 [ 2, 0, 5, 10 ] , [ 8, 0, 12, 12 ] , [ 13, 17, 9, 6 ] , [ 18, 0, 0, 18 ] Name Index con len c2 c3 SL(2,Z/20Z) Matrix Generators 160 1 40 0 4 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] 180 1 45 4 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 0, 17 ] , [ 17, 14, 5, 3 ] 180 1 45 4 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 10, 8, 17 ] , [ 13, 14, 15, 7 ] 180 1 45 4 0 [ 1, 0, 10, 1 ] , [ 3, 0, 3, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 14, 15, 7 ] 192 1 24 0 0 [ 5, 12, 12, 17 ] , [ 11, 15, 5, 16 ] , [ 19, 0, 0, 19 ] 288 1 18 0 0 [ 1, 0, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 7, 4, 14, 11 ] Name Index con len c2 c3 SL(2,Z/21Z) Matrix Generators 168 1 84 0 0 [ 8, 0, 0, 8 ] , [ 8, 14, 7, 15 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 8 ] , [ 16, 18, 9, 1 ] , [ 19, 12, 6, 16 ] , [ 20, 14, 7, 6 ] 168 1 84 8 0 [ 1, 14, 14, 8 ] , [ 1, 18, 3, 13 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] 168 2 28 0 0 [ 8, 0, 0, 8 ] , [ 8, 14, 7, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 3, 18, 1 ] , [ 15, 7, 14, 8 ] , [ 19, 12, 6, 16 ] , [ 20, 14, 7, 6 ] 192 1 8 0 0 [ 1, 0, 9, 1 ] , [ 16, 0, 12, 4 ] , [ 20, 0, 0, 20 ] Name Index con len c2 c3 SL(2,Z/22Z) Matrix Generators 132 1 66 0 0 [ 5, 2, 20, 17 ] , [ 9, 10, 0, 5 ] , [ 12, 11, 11, 1 ] , [ 21, 0, 0, 21 ] 165 1 165 3 0 [ 1, 0, 11, 1 ] , [ 3, 20, 16, 19 ] , [ 5, 8, 14, 5 ] , [ 19, 2, 6, 3 ] , [ 19, 6, 8, 13 ] , [ 19, 6, 19, 13 ] , [ 19, 16, 20, 3 ] , [ 21, 0, 0, 21 ] Name Index con len c2 c3 SL(2,Z/24Z) Matrix Generators 144 1 3 0 0 [ 1, 0, 12, 1 ] , [ 7, 6, 21, 1 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 12, 18, 19 ] , [ 19, 18, 3, 13 ] 144 1 3 0 0 [ 1, 0, 12, 1 ] , [ 1, 6, 15, 19 ] , [ 1, 12, 18, 1 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 12, 18, 19 ] , [ 19, 18, 21, 1 ] 144 1 3 0 0 [ 1, 12, 12, 1 ] , [ 3, 20, 4, 3 ] , [ 7, 12, 12, 7 ] , [ 7, 20, 20, 23 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] , [ 23, 0, 0, 23 ] 144 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 9, 8, 16, 9 ] , [ 9, 16, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 4, 10, 7 ] 144 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 10, 13, 11 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 18, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] 144 1 9 0 0 [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 12, 12, 5 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 2, 2, 23 ] , [ 23, 10, 10, 19 ] 144 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 1, 16, 10, 17 ] , [ 7, 16, 10, 23 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 16, 5 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ] 144 1 9 0 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 9, 20, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 16, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 144 1 9 0 0 [ 1, 16, 16, 17 ] , [ 5, 12, 12, 5 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 2, 14, 23 ] , [ 19, 14, 2, 23 ] , [ 23, 22, 10, 19 ] 144 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 16, 16, 23 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 20, 1 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 1, 12, 18, 1 ] , [ 3, 14, 16, 3 ] , [ 11, 12, 18, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 0, 6, 19 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 1, 12, 18, 1 ] , [ 5, 16, 13, 13 ] , [ 11, 12, 18, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 0, 6, 19 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 3, 4, 14, 3 ] , [ 5, 0, 0, 5 ] , [ 13, 0, 12, 13 ] , [ 13, 22, 7, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 4, 14, 21 ] , [ 23, 0, 12, 23 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 18, 21, 19 ] , [ 7, 10, 1, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 5, 8, 2, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 15, 13 ] , [ 23, 0, 0, 23 ] 144 1 18 0 0 [ 1, 12, 12, 1 ] , [ 5, 20, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 7, 16, 4, 23 ] , [ 8, 17, 23, 4 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] 144 1 18 0 0 [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 12, 7, 17, 0 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] 144 1 18 0 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 16, 16, 5 ] , [ 16, 15, 9, 4 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 5, 4, 10, 13 ] , [ 5, 4, 22, 13 ] , [ 5, 20, 14, 13 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 9, 16, 8, 9 ] , [ 13, 4, 10, 5 ] , [ 17, 0, 0, 17 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 3, 4, 8, 3 ] , [ 5, 20, 2, 13 ] , [ 5, 20, 14, 13 ] , [ 13, 4, 10, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 10, 1 ] , [ 21, 4, 20, 21 ] , [ 21, 16, 2, 21 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 22, 17 ] , [ 9, 16, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] , [ 17, 8, 2, 1 ] , [ 17, 16, 10, 1 ] , [ 17, 16, 22, 1 ] , [ 23, 16, 22, 7 ] 144 1 36 4 0 [ 1, 12, 12, 1 ] , [ 4, 15, 9, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 15, 20, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 144 1 36 4 0 [ 1, 12, 12, 1 ] , [ 4, 15, 9, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] , [ 23, 20, 8, 7 ] 144 1 36 4 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 4, 16, 5 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] 144 1 36 4 0 [ 1, 12, 12, 1 ] , [ 4, 15, 9, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] 144 2 9 0 0 [ 3, 10, 2, 15 ] , [ 5, 12, 12, 5 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 2, 14, 23 ] , [ 19, 14, 2, 23 ] , [ 23, 22, 10, 19 ] 144 2 36 4 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 4, 16, 5 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 1 ] , [ 23, 0, 0, 23 ] 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 11, 20, 6, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 18, 13 ] , [ 23, 20, 18, 23 ] 192 1 12 0 0 [ 1, 16, 0, 1 ] , [ 5, 0, 12, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 0, 13 ] , [ 17, 12, 12, 17 ] 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 8, 12, 13 ] , [ 17, 20, 6, 17 ] 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 12, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 8, 12, 13 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 0, 12, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 0, 13 ] 192 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 8, 0, 5 ] , [ 5, 8, 12, 5 ] , [ 7, 12, 18, 7 ] , [ 13, 12, 18, 13 ] 192 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 7, 12, 18, 7 ] , [ 17, 8, 0, 17 ] , [ 17, 8, 12, 17 ] , [ 17, 20, 6, 17 ] 192 1 48 0 0 [ 1, 16, 0, 1 ] , [ 5, 8, 0, 5 ] , [ 5, 8, 12, 5 ] , [ 19, 0, 12, 19 ] , [ 23, 2, 21, 5 ] 192 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 14, 21, 5 ] , [ 23, 8, 0, 23 ] 192 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 16, 6, 5 ] , [ 5, 16, 18, 5 ] , [ 11, 4, 6, 11 ] , [ 13, 12, 18, 13 ] 192 1 48 16 0 [ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 17, 23, 4 ] 192 1 48 16 0 [ 1, 9, 21, 22 ] , [ 4, 11, 5, 20 ] , [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ] 192 1 48 16 0 [ 1, 9, 21, 22 ] , [ 4, 11, 5, 20 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 8, 21 ] , [ 22, 15, 3, 1 ] 192 2 48 16 0 [ 1, 8, 8, 17 ] , [ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 12, 7, 17, 12 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ] 288 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 5, 12, 15, 17 ] , [ 13, 0, 12, 13 ] , [ 17, 12, 15, 5 ] , [ 19, 12, 3, 7 ] Name Index con len c2 c3 SL(2,Z/26Z) Matrix Generators 168 1 14 0 0 [ 5, 8, 2, 19 ] , [ 9, 2, 20, 19 ] , [ 14, 13, 13, 1 ] , [ 17, 24, 6, 7 ] 168 1 14 0 0 [ 5, 14, 10, 23 ] , [ 9, 8, 0, 3 ] , [ 9, 16, 6, 5 ] , [ 15, 4, 14, 9 ] , [ 21, 16, 6, 17 ] 182 1 91 12 2 [ 1, 13, 13, 14 ] , [ 3, 6, 20, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 11, 9 ] , [ 25, 0, 0, 25 ] Name Index con len c2 c3 SL(2,Z/28Z) Matrix Generators 168 1 84 0 0 [ 1, 12, 8, 13 ] , [ 1, 12, 15, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 25, 12, 0, 9 ] 168 1 84 8 0 [ 1, 12, 8, 13 ] , [ 1, 26, 1, 27 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 25, 12, 0, 9 ] 168 2 28 12 0 [ 1, 7, 7, 22 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 4, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] 168 2 168 8 3 [ 1, 9, 4, 9 ] , [ 13, 0, 0, 13 ] , [ 17, 24, 6, 25 ] , [ 18, 5, 21, 9 ] , [ 19, 22, 16, 23 ] , [ 21, 26, 18, 21 ] 168 2 168 8 3 [ 13, 0, 0, 13 ] , [ 17, 24, 20, 25 ] , [ 19, 8, 16, 23 ] , [ 21, 12, 4, 21 ] , [ 21, 15, 27, 6 ] , [ 27, 19, 10, 5 ] 192 1 24 0 0 [ 1, 0, 14, 1 ] , [ 5, 12, 12, 1 ] , [ 9, 12, 4, 21 ] , [ 15, 24, 8, 11 ] 192 1 64 0 6 [ 1, 24, 8, 25 ] , [ 6, 17, 9, 21 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 13 ] Name Index con len c2 c3 SL(2,Z/30Z) Matrix Generators 120 1 5 0 0 [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 25, 18, 18, 19 ] 120 1 10 0 0 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 21, 20, 10, 21 ] 120 1 30 0 0 [ 7, 15, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 5, 21 ] , [ 25, 12, 12, 19 ] 120 1 30 0 0 [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 23, 10, 16, 7 ] , [ 25, 12, 12, 19 ] 120 1 30 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] , [ 27, 10, 14, 3 ] , [ 29, 0, 0, 29 ] 120 1 30 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ] 144 1 6 0 0 [ 1, 12, 9, 19 ] , [ 1, 15, 15, 16 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] 144 1 6 0 0 [ 1, 12, 24, 19 ] , [ 1, 15, 15, 16 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] 144 1 18 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ] , [ 25, 4, 16, 5 ] 144 1 18 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ] 144 1 18 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ] 144 1 48 0 0 [ 1, 15, 5, 16 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 25, 12, 12, 7 ] 160 1 40 0 4 [ 1, 0, 10, 1 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 25, 19 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 10, 29 ] 160 1 40 0 4 [ 1, 0, 10, 1 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 10, 19 ] , [ 25, 12, 12, 19 ] 180 1 45 16 0 [ 1, 15, 15, 16 ] , [ 9, 2, 4, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 23, 20, 23, 7 ] , [ 29, 0, 0, 29 ] 192 1 24 0 0 [ 1, 0, 20, 1 ] , [ 13, 6, 6, 19 ] , [ 16, 15, 5, 1 ] , [ 29, 0, 0, 29 ] 216 1 54 8 0 [ 1, 15, 0, 1 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 29, 0, 0, 29 ] 216 1 54 16 0 [ 7, 5, 2, 23 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ] Γ1(30) 288 1 72 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 13, 6, 6, 19 ] , [ 29, 0, 20, 29 ] Name Index con len c2 c3 SL(2,Z/32Z) Matrix Generators 192 1 6 0 0 [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 5, 28, 20, 29 ] , [ 13, 0, 24, 5 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 24, 17 ] , [ 23, 24, 8, 7 ] , [ 25, 8, 24, 9 ] , [ 25, 24, 8, 9 ] 192 1 6 0 0 [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 5, 28, 4, 29 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 24, 17 ] , [ 23, 24, 8, 7 ] , [ 25, 8, 24, 9 ] , [ 25, 20, 4, 25 ] , [ 25, 24, 8, 9 ] 192 1 6 0 0 [ 1, 16, 0, 1 ] , [ 13, 18, 0, 5 ] , [ 17, 4, 0, 17 ] , [ 17, 8, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 21, 10, 0, 29 ] , [ 23, 0, 0, 7 ] , [ 25, 12, 0, 9 ] , [ 25, 20, 0, 9 ] 192 1 6 0 0 [ 1, 16, 0, 1 ] , [ 13, 18, 16, 5 ] , [ 17, 4, 0, 17 ] , [ 17, 8, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 21, 2, 16, 29 ] , [ 21, 10, 16, 29 ] , [ 25, 20, 0, 9 ] , [ 27, 26, 16, 19 ] 192 1 6 0 0 [ 1, 12, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 9, 20, 16, 25 ] , [ 11, 18, 8, 19 ] , [ 13, 2, 8, 21 ] , [ 13, 6, 24, 21 ] , [ 13, 14, 24, 21 ] , [ 17, 8, 0, 17 ] 192 1 12 16 0 [ 0, 27, 13, 0 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 17, 0, 0, 17 ] , [ 20, 27, 29, 12 ] , [ 23, 4, 4, 23 ] , [ 31, 0, 0, 31 ] 192 1 12 16 0 [ 0, 27, 13, 0 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 0, 25 ] , [ 13, 16, 16, 5 ] , [ 15, 8, 8, 15 ] , [ 15, 24, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 8, 29 ] , [ 31, 0, 0, 31 ] 192 1 12 16 0 [ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 13, 20, 20, 21 ] , [ 13, 28, 28, 21 ] , [ 17, 16, 16, 17 ] , [ 20, 11, 13, 12 ] , [ 31, 0, 0, 31 ] 192 1 24 0 0 [ 1, 16, 16, 1 ] , [ 9, 8, 24, 25 ] , [ 14, 15, 1, 8 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 10, 22, 15 ] , [ 21, 4, 28, 13 ] , [ 21, 20, 12, 13 ] , [ 23, 24, 8, 7 ] , [ 31, 0, 0, 31 ] 192 1 24 0 0 [ 1, 16, 16, 1 ] , [ 9, 8, 24, 25 ] , [ 12, 29, 3, 26 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 10, 22, 15 ] , [ 21, 4, 28, 13 ] , [ 21, 20, 12, 13 ] , [ 23, 24, 8, 7 ] , [ 31, 0, 0, 31 ] 192 1 24 8 0 [ 0, 27, 13, 0 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 4, 27, 29, 12 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 23, 4, 4, 23 ] , [ 31, 0, 0, 31 ] 192 1 24 8 0 [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 4, 27, 29, 12 ] , [ 9, 24, 8, 25 ] , [ 12, 13, 11, 20 ] , [ 17, 0, 0, 17 ] , [ 23, 4, 20, 23 ] , [ 31, 0, 0, 31 ] 192 1 24 8 0 [ 0, 27, 13, 0 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 0, 25 ] , [ 15, 8, 24, 15 ] , [ 15, 24, 8, 15 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 24, 29 ] , [ 25, 8, 24, 9 ] , [ 31, 0, 0, 31 ] 192 1 24 8 0 [ 0, 27, 13, 16 ] , [ 1, 16, 16, 1 ] , [ 8, 23, 25, 8 ] , [ 9, 0, 0, 25 ] , [ 15, 8, 24, 15 ] , [ 15, 24, 8, 15 ] , [ 17, 0, 0, 17 ] , [ 25, 8, 24, 9 ] , [ 31, 0, 0, 31 ] 192 1 24 16 0 [ 5, 4, 4, 29 ] , [ 9, 8, 8, 25 ] , [ 14, 11, 17, 18 ] , [ 17, 16, 16, 17 ] , [ 23, 24, 24, 7 ] , [ 25, 8, 8, 9 ] , [ 26, 13, 7, 6 ] , [ 27, 22, 6, 31 ] , [ 31, 0, 0, 31 ] , [ 31, 16, 16, 31 ] 192 1 24 16 0 [ 1, 16, 16, 1 ] , [ 9, 6, 22, 29 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 25, 24, 24, 9 ] , [ 29, 12, 12, 5 ] , [ 30, 27, 1, 2 ] , [ 31, 16, 16, 31 ] , [ 31, 18, 2, 27 ] 192 1 96 4 0 [ 1, 0, 8, 1 ] , [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 24, 5, 19, 24 ] , [ 31, 16, 16, 31 ] 192 1 96 4 0 [ 1, 0, 16, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 16, 5, 19, 24 ] , [ 17, 0, 8, 17 ] , [ 17, 16, 24, 17 ] , [ 31, 16, 16, 31 ] Name Index con len c2 c3 SL(2,Z/33Z) Matrix Generators 144 1 12 0 0 [ 23, 0, 0, 23 ] , [ 25, 6, 9, 22 ] , [ 31, 9, 21, 4 ] , [ 32, 0, 0, 32 ] Name Index con len c2 c3 SL(2,Z/34Z) Matrix Generators 144 1 18 0 0 [ 1, 0, 26, 1 ] , [ 13, 0, 20, 21 ] , [ 18, 17, 17, 1 ] , [ 33, 0, 0, 33 ] 216 1 54 8 0 [ 1, 0, 15, 1 ] , [ 1, 0, 24, 1 ] , [ 13, 0, 20, 21 ] , [ 33, 0, 22, 33 ] Name Index con len c2 c3 SL(2,Z/35Z) Matrix Generators 140 1 140 4 2 [ 6, 0, 0, 6 ] , [ 20, 21, 14, 34 ] , [ 21, 15, 20, 6 ] , [ 22, 28, 0, 8 ] , [ 27, 10, 4, 8 ] , [ 29, 0, 0, 29 ] , [ 31, 25, 15, 11 ] 140 2 70 4 2 [ 1, 21, 7, 8 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 22, 7, 0, 8 ] , [ 29, 0, 0, 29 ] 160 1 80 0 4 [ 1, 0, 25, 1 ] , [ 1, 7, 21, 8 ] , [ 6, 0, 0, 6 ] , [ 16, 0, 0, 11 ] , [ 29, 0, 0, 29 ] 168 1 168 8 0 [ 1, 0, 14, 1 ] , [ 6, 0, 0, 6 ] , [ 11, 25, 0, 16 ] , [ 13, 10, 4, 22 ] , [ 16, 5, 20, 26 ] , [ 34, 0, 0, 34 ] 192 1 48 0 0 [ 1, 0, 5, 1 ] , [ 20, 21, 14, 13 ] , [ 22, 21, 14, 15 ] , [ 25, 14, 21, 2 ] , [ 29, 28, 7, 8 ] Name Index con len c2 c3 SL(2,Z/36Z) Matrix Generators 144 1 6 0 0 [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 25, 24, 12, 13 ] , [ 35, 0, 0, 35 ] 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 18, 18, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 4, 25 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] 144 1 12 0 0 [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ] 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 28, 13 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 7, 12, 18, 31 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 22, 9, 21, 25 ] , [ 35, 0, 0, 35 ] 144 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 10, 27, 35, 1 ] , [ 19, 18, 0, 19 ] , [ 31, 0, 14, 7 ] , [ 35, 0, 0, 35 ] 144 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ] 144 1 48 0 0 [ 1, 0, 8, 1 ] , [ 1, 0, 12, 1 ] , [ 10, 27, 9, 10 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ] 144 1 48 0 3 [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ] 144 1 72 0 0 [ 1, 4, 28, 5 ] , [ 5, 24, 24, 29 ] , [ 13, 0, 12, 25 ] , [ 13, 21, 21, 34 ] , [ 19, 0, 0, 19 ] , [ 25, 24, 24, 13 ] 144 2 36 8 0 [ 0, 29, 31, 0 ] , [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 24, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 29, 12, 12, 5 ] 144 2 72 8 0 [ 0, 11, 13, 0 ] , [ 1, 24, 12, 1 ] , [ 5, 12, 12, 29 ] , [ 13, 21, 21, 34 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 13 ] 192 1 16 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 16, 1 ] , [ 25, 0, 24, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ] 192 1 16 0 12 [ 1, 0, 24, 1 ] , [ 1, 24, 28, 25 ] , [ 25, 0, 0, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ] 216 1 9 24 0 [ 1, 0, 18, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 23, 34, 13, 13 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] 216 1 54 8 0 [ 1, 0, 18, 1 ] , [ 1, 24, 12, 1 ] , [ 3, 34, 23, 21 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 24, 12, 35 ] 288 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 25, 0, 32, 13 ] , [ 35, 0, 0, 35 ] Name Index con len c2 c3 SL(2,Z/39Z) Matrix Generators 168 1 42 8 0 [ 4, 30, 27, 37 ] , [ 8, 17, 26, 31 ] , [ 14, 0, 0, 14 ] , [ 31, 33, 3, 7 ] , [ 38, 0, 0, 38 ] 168 1 56 0 0 [ 1, 0, 26, 1 ] , [ 7, 3, 18, 19 ] , [ 7, 21, 15, 34 ] , [ 14, 0, 26, 14 ] , [ 25, 0, 0, 25 ] 224 1 56 0 8 [ 1, 0, 13, 1 ] , [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 11, 36, 37, 29 ] , [ 19, 24, 6, 22 ] Name Index con len c2 c3 SL(2,Z/40Z) Matrix Generators 120 1 15 0 0 [ 1, 10, 10, 21 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 16, 17 ] , [ 17, 24, 0, 33 ] , [ 21, 10, 10, 1 ] , [ 21, 20, 20, 21 ] 120 1 30 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 36 ] , [ 17, 16, 0, 33 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] 120 1 30 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 34, 21, 5 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 31, 10, 15, 1 ] , [ 31, 30, 5, 1 ] 120 1 30 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] , [ 25, 24, 16, 25 ] , [ 31, 10, 5, 21 ] 120 1 60 2 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 36 ] , [ 17, 16, 0, 33 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 0, 21 ] , [ 31, 20, 20, 31 ] 144 1 18 0 0 [ 1, 16, 16, 17 ] , [ 1, 20, 20, 1 ] , [ 14, 23, 21, 6 ] , [ 21, 0, 0, 21 ] , [ 31, 10, 10, 11 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 144 1 18 0 0 [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ] 144 1 18 0 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 16, 5, 35, 16 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 31 ] , [ 35, 18, 18, 23 ] 144 1 18 0 0 [ 1, 10, 10, 21 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 10, 38, 37 ] 144 1 18 0 0 [ 1, 10, 10, 21 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 8, 17 ] 144 1 36 0 0 [ 1, 20, 0, 1 ] , [ 9, 18, 26, 21 ] , [ 9, 24, 24, 33 ] , [ 15, 8, 8, 23 ] , [ 21, 0, 0, 21 ] , [ 29, 20, 20, 29 ] , [ 31, 30, 0, 31 ] 144 1 36 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 7, 9, 24 ] , [ 9, 24, 24, 33 ] , [ 19, 30, 10, 39 ] , [ 21, 20, 20, 21 ] , [ 30, 31, 9, 20 ] 144 1 36 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 6 ] , [ 21, 20, 20, 21 ] , [ 31, 14, 22, 19 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 144 1 36 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 6 ] , [ 21, 20, 20, 21 ] , [ 31, 14, 2, 19 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 144 1 36 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 8 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 28, 1, 31, 4 ] , [ 39, 0, 0, 39 ] 144 1 36 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 8 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] 144 1 72 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 29, 36, 28, 21 ] , [ 39, 0, 0, 39 ] 144 1 72 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 8 ] , [ 25, 32, 32, 17 ] , [ 32, 37, 35, 8 ] , [ 39, 0, 0, 39 ] 160 1 40 8 4 [ 6, 35, 15, 1 ] , [ 9, 0, 20, 9 ] , [ 9, 32, 32, 25 ] , [ 17, 30, 11, 3 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] 160 1 40 8 4 [ 6, 35, 15, 1 ] , [ 9, 32, 32, 25 ] , [ 17, 30, 31, 3 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 33, 30, 19, 27 ] 160 2 40 8 4 [ 1, 5, 25, 6 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 20, 0, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 37, 10, 31, 3 ] 192 1 96 16 0 [ 8, 35, 13, 32 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 25, 25, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ] 288 1 36 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 10, 30, 29 ] , [ 11, 30, 10, 31 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] Name Index con len c2 c3 SL(2,Z/42Z) Matrix Generators 144 1 72 0 0 [ 7, 12, 18, 19 ] , [ 7, 18, 12, 13 ] , [ 9, 40, 32, 21 ] , [ 15, 14, 28, 15 ] , [ 15, 35, 28, 15 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] 168 1 84 16 0 [ 1, 21, 21, 22 ] , [ 1, 40, 1, 41 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 15, 7, 35, 36 ] , [ 29, 21, 21, 8 ] , [ 37, 30, 0, 25 ] 168 2 21 16 0 [ 1, 21, 21, 22 ] , [ 1, 24, 30, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 23, 8, 23, 19 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] 192 1 64 0 6 [ 1, 0, 28, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 29, 0, 14, 29 ] , [ 40, 33, 33, 1 ] 192 1 96 0 0 [ 1, 0, 21, 1 ] , [ 1, 0, 28, 1 ] , [ 13, 18, 6, 31 ] , [ 37, 18, 0, 25 ] , [ 41, 0, 14, 41 ] Name Index con len c2 c3 SL(2,Z/43Z) Matrix Generators 132 1 44 0 0 [ 21, 5, 14, 30 ] , [ 30, 5, 21, 15 ] , [ 33, 7, 38, 12 ] , [ 37, 24, 32, 8 ] , [ 42, 0, 0, 42 ] Name Index con len c2 c3 SL(2,Z/44Z) Matrix Generators 132 2 66 6 0 [ 1, 22, 11, 23 ] , [ 11, 24, 16, 43 ] , [ 23, 0, 0, 23 ] , [ 33, 36, 40, 33 ] , [ 43, 0, 0, 43 ] 144 1 36 0 0 [ 1, 0, 22, 1 ] , [ 5, 32, 16, 41 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 22, 23 ] , [ 37, 36, 24, 21 ] Name Index con len c2 c3 SL(2,Z/45Z) Matrix Generators 120 1 40 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 30, 40, 31 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] , [ 28, 36, 0, 37 ] 135 1 135 7 0 [ 1, 15, 30, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 6 ] , [ 26, 0, 0, 26 ] , [ 26, 20, 35, 1 ] , [ 28, 0, 18, 37 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 28 ] 144 1 24 0 0 [ 16, 0, 15, 31 ] , [ 16, 15, 30, 31 ] , [ 34, 30, 0, 4 ] , [ 36, 25, 5, 1 ] , [ 36, 35, 10, 26 ] , [ 37, 27, 27, 10 ] 144 1 24 0 0 [ 7, 42, 12, 40 ] , [ 16, 0, 15, 31 ] , [ 28, 9, 9, 19 ] , [ 31, 30, 15, 16 ] , [ 34, 30, 0, 4 ] , [ 41, 15, 30, 11 ] , [ 41, 40, 20, 36 ] 216 1 18 24 0 [ 11, 15, 15, 41 ] , [ 16, 15, 0, 31 ] , [ 31, 15, 15, 16 ] , [ 37, 27, 27, 10 ] , [ 44, 0, 0, 44 ] , [ 44, 17, 29, 1 ] 216 1 108 8 0 [ 10, 18, 18, 37 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 16 ] , [ 31, 30, 30, 16 ] , [ 35, 26, 29, 10 ] 288 1 24 0 0 [ 6, 5, 40, 41 ] , [ 19, 36, 36, 28 ] , [ 21, 35, 40, 26 ] , [ 24, 25, 20, 19 ] , [ 31, 0, 30, 16 ] , [ 31, 15, 0, 16 ] , [ 31, 30, 15, 16 ] Name Index con len c2 c3 SL(2,Z/48Z) Matrix Generators 144 1 6 0 0 [ 1, 0, 24, 1 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 17, 0, 18, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 37, 0, 0, 13 ] 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 33, 40, 35, 9 ] , [ 47, 0, 0, 47 ] 144 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 16, 17, 9 ] , [ 9, 40, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 1 18 0 0 [ 1, 0, 24, 1 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 17, 8, 8, 1 ] , [ 17, 24, 42, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 8, 40, 33 ] , [ 37, 0, 0, 13 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 19, 32, 41, 11 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 19, 8, 17, 35 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 1 18 8 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 18, 9, 13 ] , [ 31, 34, 31, 17 ] , [ 37, 0, 36, 13 ] , [ 43, 6, 39, 1 ] , [ 47, 0, 0, 47 ] 144 1 18 8 0 [ 1, 0, 24, 1 ] , [ 1, 4, 40, 17 ] , [ 1, 16, 22, 17 ] , [ 1, 24, 12, 1 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 1 18 8 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 36, 42, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] , [ 47, 18, 15, 17 ] 144 1 18 8 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 8, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] 144 1 18 8 0 [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 43, 41 ] , [ 33, 16, 32, 33 ] , [ 43, 10, 19, 29 ] , [ 47, 0, 0, 47 ] 144 1 18 8 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 17, 36, 42, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] 144 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 5, 36, 45, 17 ] , [ 13, 0, 12, 37 ] , [ 13, 24, 30, 37 ] , [ 17, 0, 18, 17 ] , [ 21, 4, 26, 21 ] , [ 25, 0, 12, 25 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 32, 35, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 33, 40, 35, 9 ] , [ 47, 0, 0, 47 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 19, 1 ] , [ 21, 40, 11, 21 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 21, 40, 11, 21 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 37, 16, 4, 29 ] , [ 47, 0, 0, 47 ] 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 11, 38, 41, 37 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 43, 6, 15, 1 ] 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 16, 16, 17 ] , [ 11, 38, 41, 37 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 32, 2, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 27, 46, 47, 9 ] , [ 35, 24, 36, 11 ] 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 19, 38, 29, 5 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 27, 46, 47, 9 ] , [ 35, 24, 36, 11 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 16, 22, 17 ] , [ 1, 24, 12, 1 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 37, 0, 36, 13 ] , [ 43, 6, 39, 1 ] , [ 47, 0, 0, 47 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 0, 13 ] , [ 43, 22, 13, 29 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] , [ 47, 18, 15, 17 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 4, 1 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 41, 24, 12, 41 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 23, 2, 47, 25 ] , [ 25, 20, 2, 17 ] , [ 41, 24, 12, 41 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 0, 13 ] , [ 43, 22, 13, 29 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] 144 2 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 3, 16, 41, 27 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 19, 8, 17, 35 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 144 2 18 8 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 31, 34, 43, 41 ] , [ 43, 10, 19, 29 ] , [ 45, 26, 43, 27 ] , [ 47, 0, 0, 47 ] 144 2 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 40, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 35, 33 ] , [ 45, 40, 44, 21 ] , [ 47, 0, 0, 47 ] 144 2 36 4 0 [ 1, 0, 24, 1 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 19, 22, 7, 41 ] , [ 19, 38, 29, 5 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 27, 46, 47, 9 ] , [ 35, 24, 36, 11 ] 144 2 36 8 0 [ 1, 0, 24, 1 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 23, 2, 47, 25 ] , [ 23, 34, 19, 1 ] , [ 25, 20, 2, 17 ] , [ 41, 24, 12, 41 ] 144 2 72 8 0 [ 1, 0, 24, 1 ] , [ 5, 0, 12, 29 ] , [ 11, 14, 35, 1 ] , [ 17, 0, 12, 17 ] , [ 23, 2, 5, 13 ] , [ 23, 34, 7, 25 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] , [ 47, 0, 0, 47 ] 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 10, 9, 39, 16 ] , [ 13, 12, 36, 37 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 31, 6, 42, 19 ] , [ 32, 45, 27, 38 ] , [ 38, 39, 9, 32 ] 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 7, 24, 18, 7 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 4, 47 ] 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 13, 12, 36, 37 ] , [ 22, 39, 9, 16 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 26, 9, 39, 32 ] , [ 31, 6, 42, 19 ] , [ 32, 3, 5, 26 ] 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 19, 18, 30, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 31, 6, 42, 19 ] 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 7, 24, 18, 7 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 24, 31 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 4, 47 ] 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 16, 45, 27, 22 ] , [ 19, 42, 6, 31 ] , [ 25, 24, 24, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 32 ] 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 19, 18, 30, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 37, 36, 12, 13 ] , [ 43, 0, 0, 19 ] 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 25, 24, 24, 25 ] , [ 31, 30, 18, 19 ] , [ 32, 45, 43, 38 ] , [ 34, 21, 3, 40 ] 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 22 ] , [ 17, 0, 16, 17 ] , [ 25, 24, 24, 25 ] , [ 31, 30, 18, 19 ] , [ 37, 6, 42, 25 ] 192 1 64 24 0 [ 0, 1, 47, 0 ] , [ 13, 45, 45, 34 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 21, 40, 8, 45 ] , [ 25, 0, 0, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] Name Index con len c2 c3 SL(2,Z/49Z) Matrix Generators 147 1 147 11 0 [ 8, 0, 14, 43 ] , [ 29, 28, 42, 22 ] , [ 34, 21, 35, 13 ] , [ 37, 12, 41, 12 ] , [ 42, 38, 9, 42 ] , [ 43, 24, 25, 6 ] 196 1 196 4 7 [ 7, 10, 44, 42 ] , [ 24, 10, 33, 24 ] , [ 36, 7, 21, 15 ] , [ 36, 42, 28, 15 ] , [ 48, 0, 0, 48 ] Name Index con len c2 c3 SL(2,Z/50Z) Matrix Generators 120 1 6 0 0 [ 11, 0, 10, 41 ] , [ 11, 46, 6, 7 ] , [ 17, 18, 38, 5 ] , [ 21, 10, 10, 31 ] , [ 26, 25, 25, 1 ] , [ 31, 40, 40, 21 ] 120 1 6 0 0 [ 1, 25, 25, 26 ] , [ 5, 12, 32, 7 ] , [ 11, 0, 10, 41 ] , [ 17, 44, 34, 41 ] , [ 31, 40, 40, 21 ] 120 1 6 0 0 [ 3, 36, 16, 9 ] , [ 7, 9, 49, 6 ] , [ 21, 0, 20, 31 ] , [ 26, 25, 25, 1 ] , [ 31, 40, 40, 21 ] 120 1 6 0 0 [ 3, 36, 46, 19 ] , [ 26, 25, 25, 1 ] , [ 29, 25, 5, 44 ] , [ 41, 0, 40, 11 ] , [ 41, 20, 20, 11 ] 150 1 75 4 0 [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 7, 36, 25, 43 ] , [ 27, 10, 22, 23 ] , [ 31, 40, 30, 21 ] , [ 39, 20, 20, 9 ] 200 1 10 0 20 [ 1, 25, 25, 26 ] , [ 19, 10, 30, 29 ] , [ 29, 18, 28, 45 ] , [ 31, 0, 10, 21 ] , [ 41, 40, 40, 11 ] Name Index con len c2 c3 SL(2,Z/51Z) Matrix Generators 144 1 72 0 0 [ 1, 0, 15, 1 ] , [ 1, 17, 0, 1 ] , [ 4, 17, 48, 13 ] , [ 16, 34, 0, 16 ] , [ 35, 17, 0, 35 ] , [ 49, 34, 42, 25 ] 216 1 18 24 0 [ 1, 0, 39, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 34, 1 ] Name Index con len c2 c3 SL(2,Z/52Z) Matrix Generators 168 1 42 0 0 [ 1, 0, 13, 1 ] , [ 1, 0, 26, 1 ] , [ 27, 0, 39, 27 ] , [ 29, 20, 44, 25 ] , [ 37, 20, 20, 1 ] , [ 41, 32, 32, 25 ] , [ 45, 4, 12, 45 ] 168 1 42 8 0 [ 5, 40, 36, 49 ] , [ 9, 8, 0, 29 ] , [ 9, 16, 6, 5 ] , [ 21, 16, 32, 17 ] , [ 27, 0, 26, 27 ] , [ 29, 6, 7, 23 ] , [ 41, 4, 40, 9 ] 168 1 56 12 0 [ 1, 13, 13, 14 ] , [ 9, 36, 36, 17 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 27, 26, 13, 1 ] 168 2 14 12 0 [ 1, 26, 26, 1 ] , [ 5, 8, 2, 45 ] , [ 9, 28, 20, 45 ] , [ 14, 13, 13, 1 ] , [ 27, 0, 26, 27 ] , [ 49, 33, 6, 3 ] 168 2 42 4 0 [ 1, 26, 0, 1 ] , [ 5, 40, 36, 49 ] , [ 9, 8, 0, 29 ] , [ 9, 16, 6, 5 ] , [ 21, 16, 32, 17 ] , [ 21, 26, 27, 31 ] , [ 27, 0, 26, 27 ] Name Index con len c2 c3 SL(2,Z/55Z) Matrix Generators 120 1 120 0 0 [ 11, 30, 15, 46 ] , [ 20, 2, 12, 4 ] , [ 21, 0, 0, 21 ] , [ 31, 15, 20, 31 ] , [ 34, 0, 0, 34 ] , [ 42, 35, 34, 48 ] 144 1 72 0 0 [ 1, 44, 0, 1 ] , [ 21, 0, 0, 21 ] , [ 21, 10, 20, 41 ] , [ 34, 0, 0, 34 ] , [ 46, 25, 40, 11 ] Name Index con len c2 c3 SL(2,Z/56Z) Matrix Generators 128 1 128 0 2 [ 1, 14, 49, 15 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 35, 35, 50 ] , [ 41, 0, 0, 41 ] , [ 41, 24, 16, 49 ] 168 2 21 16 0 [ 1, 28, 0, 1 ] , [ 9, 19, 10, 15 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 28, 15 ] , [ 19, 36, 16, 51 ] , [ 25, 0, 24, 9 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] 192 1 48 0 0 [ 9, 40, 4, 49 ] , [ 9, 40, 18, 49 ] , [ 9, 40, 32, 49 ] , [ 21, 52, 51, 1 ] , [ 29, 48, 10, 5 ] , [ 33, 8, 32, 1 ] , [ 43, 28, 21, 15 ] Name Index con len c2 c3 SL(2,Z/57Z) Matrix Generators 120 1 60 0 0 [ 1, 27, 3, 25 ] , [ 20, 0, 0, 20 ] , [ 20, 38, 38, 1 ] , [ 22, 42, 30, 34 ] , [ 34, 12, 9, 25 ] , [ 56, 38, 38, 37 ] 160 1 80 0 4 [ 1, 19, 0, 1 ] , [ 22, 21, 3, 34 ] , [ 22, 48, 15, 25 ] , [ 31, 42, 3, 28 ] , [ 35, 36, 54, 23 ] Name Index con len c2 c3 SL(2,Z/58Z) Matrix Generators 120 1 30 0 0 [ 29, 4, 36, 31 ] , [ 30, 29, 29, 1 ] , [ 57, 29, 29, 28 ] , [ 57, 46, 56, 33 ] Name Index con len c2 c3 SL(2,Z/60Z) Matrix Generators 120 1 30 4 0 [ 13, 24, 0, 37 ] , [ 21, 25, 50, 51 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 30, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 36, 25 ] 120 1 60 0 0 [ 1, 0, 30, 1 ] , [ 5, 16, 44, 9 ] , [ 21, 40, 20, 1 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 24, 13 ] , [ 41, 40, 20, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 36, 48, 1 ] , [ 51, 50, 55, 41 ] 120 1 60 4 0 [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 21, 20, 40, 21 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] 120 2 40 0 3 [ 1, 40, 40, 41 ] , [ 13, 0, 48, 37 ] , [ 21, 20, 40, 21 ] , [ 25, 57, 57, 34 ] , [ 31, 0, 0, 31 ] , [ 37, 36, 0, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 8, 25 ] 144 1 36 8 0 [ 1, 15, 15, 46 ] , [ 1, 30, 30, 1 ] , [ 11, 20, 5, 31 ] , [ 31, 12, 24, 19 ] , [ 31, 30, 0, 31 ] , [ 41, 30, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ] 144 1 36 8 0 [ 1, 15, 15, 46 ] , [ 1, 30, 30, 1 ] , [ 1, 52, 19, 29 ] , [ 11, 20, 5, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 30, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ] 144 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 30, 42, 43 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 45, 1 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] 144 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 45, 1 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] 144 1 72 8 0 [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 10, 5, 51 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 50, 35, 41 ] , [ 41, 0, 0, 41 ] 144 1 72 8 0 [ 1, 30, 45, 31 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 48, 31 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] 144 2 18 8 0 [ 1, 15, 15, 46 ] , [ 11, 32, 59, 19 ] , [ 31, 0, 30, 31 ] , [ 31, 12, 9, 19 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 43, 36, 6, 19 ] , [ 49, 0, 30, 49 ] 144 2 18 8 0 [ 1, 15, 15, 46 ] , [ 31, 0, 30, 31 ] , [ 31, 12, 9, 19 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 43, 36, 6, 19 ] , [ 49, 0, 30, 49 ] 216 1 18 24 0 [ 1, 30, 0, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 57, 25, 2, 3 ] , [ 59, 0, 0, 59 ] 216 1 54 16 0 [ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] Name Index con len c2 c3 SL(2,Z/63Z) Matrix Generators 126 2 63 6 0 [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 19, 36, 45, 19 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 36, 7, 14, 15 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] 126 2 63 6 0 [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 19, 36, 45, 19 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 49, 29, 20, 62 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] 144 1 144 0 0 [ 1, 0, 9, 1 ] , [ 8, 42, 21, 8 ] , [ 13, 0, 0, 34 ] , [ 15, 28, 35, 15 ] , [ 22, 0, 0, 43 ] , [ 22, 42, 21, 43 ] , [ 43, 42, 39, 22 ] , [ 46, 42, 21, 37 ] , [ 55, 0, 0, 55 ] , [ 57, 14, 7, 57 ] 189 1 189 25 0 [ 1, 21, 42, 1 ] , [ 1, 56, 35, 8 ] , [ 19, 9, 36, 37 ] , [ 19, 27, 18, 19 ] , [ 22, 21, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 21, 22 ] , [ 43, 42, 42, 22 ] , [ 50, 21, 0, 29 ] , [ 55, 0, 0, 55 ] , [ 57, 49, 56, 36 ] 192 1 32 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 0, 49, 1 ] , [ 22, 0, 28, 43 ] , [ 37, 0, 18, 46 ] , [ 41, 0, 35, 20 ] , [ 41, 0, 49, 20 ] , [ 43, 0, 0, 22 ] 192 1 32 0 12 [ 1, 0, 21, 1 ] , [ 1, 0, 36, 1 ] , [ 22, 0, 0, 43 ] , [ 22, 0, 42, 43 ] , [ 22, 42, 49, 22 ] , [ 43, 0, 0, 22 ] , [ 46, 42, 58, 16 ] , [ 62, 42, 49, 20 ] Name Index con len c2 c3 SL(2,Z/64Z) Matrix Generators 192 1 12 0 0 [ 1, 32, 32, 1 ] , [ 8, 47, 33, 26 ] , [ 15, 62, 34, 51 ] , [ 17, 16, 48, 49 ] , [ 19, 20, 44, 43 ] , [ 25, 8, 24, 41 ] , [ 29, 60, 4, 37 ] , [ 31, 46, 50, 35 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 45, 36, 12, 21 ] , [ 53, 52, 12, 13 ] , [ 57, 56, 8, 9 ] 192 1 12 0 0 [ 1, 12, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 3, 62, 40, 59 ] , [ 9, 20, 48, 57 ] , [ 25, 40, 0, 41 ] , [ 31, 50, 8, 15 ] , [ 33, 32, 0, 33 ] , [ 33, 48, 0, 33 ] , [ 33, 54, 24, 49 ] , [ 49, 8, 32, 17 ] , [ 49, 16, 0, 17 ] , [ 57, 4, 48, 9 ] , [ 61, 0, 16, 21 ] 192 1 12 0 0 [ 1, 12, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 9, 20, 48, 57 ] , [ 23, 22, 24, 23 ] , [ 25, 40, 0, 41 ] , [ 31, 50, 40, 15 ] , [ 33, 32, 0, 33 ] , [ 33, 48, 0, 33 ] , [ 49, 8, 32, 17 ] , [ 49, 16, 0, 17 ] , [ 57, 4, 48, 9 ] , [ 61, 0, 16, 21 ] , [ 61, 46, 40, 5 ] 192 1 12 0 0 [ 2, 59, 21, 12 ] , [ 10, 33, 47, 40 ] , [ 17, 48, 16, 49 ] , [ 31, 46, 18, 35 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 14, 34, 25 ] , [ 41, 56, 40, 25 ] , [ 43, 26, 38, 23 ] , [ 47, 6, 10, 19 ] , [ 57, 56, 8, 9 ] , [ 61, 28, 36, 5 ] , [ 62, 45, 19, 52 ] 192 1 12 0 0 [ 12, 53, 27, 34 ] , [ 17, 48, 16, 49 ] , [ 30, 45, 19, 52 ] , [ 31, 46, 18, 35 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 14, 34, 25 ] , [ 41, 56, 40, 25 ] , [ 42, 33, 47, 40 ] , [ 43, 26, 38, 23 ] , [ 47, 6, 10, 19 ] , [ 57, 56, 8, 9 ] , [ 61, 28, 36, 5 ] 192 1 24 24 0 [ 0, 41, 39, 0 ] , [ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 11, 52, 52, 19 ] , [ 28, 31, 49, 4 ] , [ 33, 32, 32, 33 ] , [ 33, 40, 40, 33 ] , [ 49, 16, 16, 17 ] , [ 55, 36, 4, 55 ] , [ 57, 40, 40, 9 ] , [ 63, 0, 0, 63 ] 192 1 96 4 0 [ 1, 32, 32, 1 ] , [ 1, 48, 16, 1 ] , [ 3, 36, 28, 59 ] , [ 8, 37, 19, 0 ] , [ 17, 0, 0, 49 ] , [ 23, 12, 20, 55 ] , [ 25, 40, 24, 41 ] , [ 27, 0, 0, 19 ] , [ 27, 4, 60, 35 ] , [ 28, 59, 29, 36 ] , [ 33, 0, 0, 33 ] , [ 41, 0, 0, 25 ] , [ 63, 40, 24, 63 ] 192 1 96 4 0 [ 1, 32, 32, 1 ] , [ 1, 48, 16, 1 ] , [ 3, 36, 60, 59 ] , [ 8, 37, 19, 0 ] , [ 17, 0, 0, 49 ] , [ 23, 12, 20, 55 ] , [ 25, 12, 20, 25 ] , [ 25, 40, 24, 41 ] , [ 27, 0, 32, 19 ] , [ 28, 59, 29, 36 ] , [ 33, 0, 0, 33 ] , [ 41, 0, 0, 25 ] , [ 63, 40, 24, 63 ] 192 2 24 24 0 [ 9, 40, 40, 57 ] , [ 10, 21, 47, 22 ] , [ 17, 16, 16, 49 ] , [ 17, 32, 32, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 16, 16, 41 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 52, 15, 33, 12 ] , [ 53, 20, 52, 45 ] , [ 63, 32, 32, 63 ] Name Index con len c2 c3 SL(2,Z/65Z) Matrix Generators 140 1 140 4 2 [ 11, 45, 45, 1 ] , [ 14, 0, 0, 14 ] , [ 14, 52, 39, 1 ] , [ 16, 5, 50, 36 ] , [ 16, 60, 45, 51 ] , [ 51, 0, 0, 51 ] , [ 53, 39, 13, 1 ] 168 1 84 8 0 [ 14, 0, 0, 14 ] , [ 27, 39, 26, 40 ] , [ 31, 60, 40, 46 ] , [ 51, 0, 0, 51 ] , [ 53, 49, 5, 12 ] , [ 56, 25, 35, 11 ] Name Index con len c2 c3 SL(2,Z/66Z) Matrix Generators Γ0(66) 144 1 144 0 0 [ 1, 0, 33, 1 ] , [ 13, 36, 18, 55 ] , [ 19, 12, 24, 43 ] , [ 23, 0, 33, 23 ] , [ 23, 44, 22, 45 ] , [ 25, 12, 39, 61 ] , [ 31, 24, 12, 37 ] , [ 43, 0, 0, 43 ] Name Index con len c2 c3 SL(2,Z/68Z) Matrix Generators 144 1 72 8 0 [ 1, 0, 8, 1 ] , [ 1, 34, 17, 35 ] , [ 13, 0, 44, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 51, 17, 52 ] , [ 43, 0, 4, 19 ] , [ 52, 17, 51, 35 ] Name Index con len c2 c3 SL(2,Z/70Z) Matrix Generators 120 1 120 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 35, 1 ] , [ 15, 28, 28, 29 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 5, 61 ] , [ 43, 42, 0, 57 ] , [ 51, 0, 40, 11 ] , [ 57, 0, 14, 43 ] 140 2 35 0 8 [ 1, 14, 42, 29 ] , [ 11, 10, 0, 51 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 61, 30, 50, 51 ] 140 2 70 8 2 [ 1, 35, 35, 36 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 26, 55, 25, 26 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 0, 43 ] , [ 57, 56, 28, 57 ] Γ0(70) 144 1 144 0 0 [ 1, 0, 30, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 35, 0, 1 ] , [ 11, 0, 60, 51 ] , [ 29, 0, 0, 29 ] , [ 43, 56, 10, 57 ] , [ 61, 0, 30, 31 ] 168 2 42 16 0 [ 9, 52, 19, 1 ] , [ 11, 50, 60, 31 ] , [ 15, 42, 42, 43 ] , [ 29, 56, 56, 43 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 40, 31 ] , [ 61, 30, 50, 51 ] Name Index con len c2 c3 SL(2,Z/72Z) Matrix Generators 108 1 27 0 0 [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 56, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 33, 56, 40, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 55, 9, 18, 37 ] 144 1 12 0 0 [ 1, 6, 36, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 45, 54, 37 ] , [ 25, 48, 0, 49 ] , [ 25, 64, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 55, 18, 19 ] , [ 47, 10, 36, 23 ] , [ 47, 28, 0, 23 ] , [ 65, 57, 54, 23 ] 144 1 12 0 0 [ 1, 1, 18, 19 ] , [ 1, 6, 36, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 25, 64, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 55, 54, 55 ] , [ 47, 39, 54, 5 ] , [ 65, 39, 54, 59 ] 144 1 24 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 25, 56, 48, 1 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 41, 64, 24, 41 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 6, 49 ] , [ 55, 0, 0, 55 ] , [ 65, 64, 24, 17 ] 144 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 32, 33, 49 ] , [ 1, 48, 0, 1 ] , [ 25, 56, 24, 25 ] , [ 29, 56, 24, 29 ] , [ 29, 56, 69, 29 ] , [ 37, 0, 36, 37 ] , [ 41, 64, 48, 17 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 36, 55 ] 144 2 12 12 0 [ 1, 36, 36, 1 ] , [ 1, 48, 24, 1 ] , [ 1, 64, 52, 17 ] , [ 10, 63, 63, 37 ] , [ 17, 0, 0, 17 ] , [ 28, 63, 9, 64 ] , [ 37, 0, 36, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 4, 41 ] , [ 55, 0, 0, 55 ] , [ 64, 27, 45, 64 ] , [ 71, 0, 0, 71 ] 144 2 12 12 0 [ 1, 24, 48, 1 ] , [ 1, 36, 36, 1 ] , [ 1, 64, 16, 17 ] , [ 17, 24, 48, 17 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 46, 63, 27, 1 ] , [ 55, 0, 0, 55 ] , [ 55, 48, 24, 55 ] , [ 64, 45, 27, 28 ] 216 2 27 32 0 [ 1, 36, 0, 1 ] , [ 9, 7, 50, 63 ] , [ 17, 16, 40, 25 ] , [ 17, 46, 52, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 45, 61, 14, 27 ] , [ 47, 6, 60, 23 ] , [ 49, 24, 24, 25 ] 288 1 24 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 51, 36, 53 ] , [ 25, 8, 0, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 33, 36, 19 ] , [ 55, 63, 36, 19 ] Name Index con len c2 c3 SL(2,Z/73Z) Matrix Generators 148 1 74 4 4 [ 4, 60, 23, 35 ] , [ 21, 64, 41, 52 ] , [ 39, 57, 72, 36 ] , [ 47, 38, 11, 26 ] , [ 55, 23, 66, 17 ] , [ 72, 0, 0, 72 ] Name Index con len c2 c3 SL(2,Z/74Z) Matrix Generators 152 1 38 0 8 [ 1, 37, 37, 38 ] , [ 7, 56, 34, 29 ] , [ 19, 64, 60, 23 ] , [ 61, 64, 64, 15 ] , [ 73, 0, 0, 73 ] Name Index con len c2 c3 SL(2,Z/75Z) Matrix Generators 120 1 120 0 0 [ 1, 0, 50, 1 ] , [ 10, 12, 12, 37 ] , [ 16, 15, 0, 61 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 50, 26 ] , [ 31, 0, 30, 46 ] , [ 64, 66, 53, 16 ] 120 1 120 0 0 [ 1, 0, 50, 1 ] , [ 16, 15, 0, 61 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 50, 26 ] , [ 31, 0, 30, 46 ] , [ 49, 9, 9, 43 ] , [ 64, 66, 53, 16 ] 120 1 120 0 0 [ 1, 0, 50, 1 ] , [ 13, 6, 6, 49 ] , [ 16, 15, 0, 61 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 50, 26 ] , [ 31, 0, 30, 46 ] , [ 64, 66, 53, 16 ] 120 1 120 0 0 [ 1, 0, 50, 1 ] , [ 16, 15, 0, 61 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 50, 26 ] , [ 31, 0, 30, 46 ] , [ 52, 3, 3, 55 ] , [ 64, 66, 53, 16 ] 180 1 90 4 0 [ 12, 32, 70, 18 ] , [ 16, 15, 0, 61 ] , [ 22, 18, 63, 55 ] , [ 26, 0, 0, 26 ] , [ 31, 15, 15, 46 ] , [ 44, 0, 45, 29 ] , [ 51, 50, 25, 51 ] 240 1 24 0 0 [ 1, 0, 25, 1 ] , [ 1, 0, 50, 1 ] , [ 4, 69, 39, 73 ] , [ 10, 48, 48, 13 ] , [ 16, 45, 45, 61 ] , [ 26, 0, 50, 26 ] , [ 31, 30, 0, 46 ] Name Index con len c2 c3 SL(2,Z/76Z) Matrix Generators 120 1 60 0 0 [ 1, 0, 38, 1 ] , [ 1, 38, 19, 39 ] , [ 33, 60, 72, 25 ] , [ 33, 68, 24, 61 ] , [ 39, 0, 38, 39 ] , [ 61, 60, 48, 41 ] , [ 69, 72, 16, 9 ] Name Index con len c2 c3 SL(2,Z/78Z) Matrix Generators 168 1 28 0 12 [ 1, 39, 65, 40 ] , [ 1, 52, 52, 53 ] , [ 19, 24, 6, 61 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 27, 52, 26, 27 ] , [ 43, 54, 48, 73 ] , [ 53, 0, 0, 53 ] 168 1 42 16 0 [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 21, 56, 13, 57 ] , [ 31, 72, 42, 7 ] , [ 43, 30, 66, 37 ] , [ 53, 0, 0, 53 ] , [ 77, 0, 0, 77 ] 168 2 14 0 12 [ 1, 39, 39, 40 ] , [ 1, 52, 52, 53 ] , [ 31, 66, 36, 49 ] , [ 49, 6, 60, 1 ] , [ 51, 52, 26, 51 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 67, 60, 4, 49 ] Name Index con len c2 c3 SL(2,Z/80Z) Matrix Generators 120 1 30 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] 120 1 30 4 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 60, 61 ] , [ 22, 13, 71, 42 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 71, 60, 60, 71 ] 120 1 60 2 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 26 ] , [ 17, 32, 64, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 10, 11 ] 120 1 60 4 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 36, 35, 5, 76 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 57, 18, 66, 77 ] 144 1 36 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 41, 52, 44, 9 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ] 144 1 36 0 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ] 144 1 36 8 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 16, 37, 19, 64 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 59, 66, 18, 31 ] , [ 71, 60, 60, 71 ] 144 1 36 8 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 71, 13, 26 ] , [ 71, 60, 60, 71 ] 144 1 72 4 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 26 ] , [ 7, 62, 50, 43 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 10, 11 ] 144 1 72 4 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 16, 45, 75, 76 ] , [ 17, 32, 0, 33 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] 144 1 72 8 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 16, 37, 19, 64 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 5, 76 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 59, 66, 18, 31 ] 144 1 72 8 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 5, 76 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 71, 13, 26 ] 144 2 18 8 0 [ 1, 32, 44, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 55, 5, 54 ] , [ 61, 0, 0, 21 ] , [ 61, 20, 20, 21 ] , [ 64, 13, 11, 56 ] , [ 71, 20, 60, 71 ] 144 2 18 8 0 [ 1, 32, 44, 49 ] , [ 6, 55, 5, 6 ] , [ 31, 62, 74, 19 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 0, 0, 21 ] , [ 61, 20, 20, 21 ] , [ 71, 20, 60, 71 ] 144 2 36 0 0 [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 6, 55, 65, 36 ] , [ 9, 50, 70, 69 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 33, 16, 16, 49 ] , [ 41, 40, 40, 41 ] , [ 49, 40, 0, 49 ] , [ 49, 78, 6, 21 ] 144 2 36 8 0 [ 1, 32, 44, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 55, 5, 54 ] , [ 61, 0, 0, 21 ] , [ 61, 20, 20, 21 ] , [ 71, 20, 60, 71 ] , [ 79, 78, 26, 51 ] Name Index con len c2 c3 SL(2,Z/82Z) Matrix Generators Γ0(82) 126 1 126 2 0 [ 1, 0, 41, 1 ] , [ 11, 56, 48, 73 ] , [ 15, 16, 28, 19 ] , [ 19, 48, 2, 31 ] , [ 47, 22, 18, 73 ] , [ 63, 16, 28, 67 ] Name Index con len c2 c3 SL(2,Z/84Z) Matrix Generators 112 2 112 0 1 [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 24, 1 ] , [ 37, 48, 12, 61 ] , [ 49, 12, 60, 49 ] , [ 49, 24, 72, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 63, 42, 29 ] 126 2 21 6 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 55 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 49, 12, 60, 49 ] , [ 57, 28, 56, 57 ] , [ 71, 14, 35, 1 ] 126 2 63 6 0 [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 63, 1 ] , [ 49, 12, 60, 49 ] , [ 61, 72, 60, 13 ] , [ 71, 56, 35, 43 ] , [ 71, 70, 7, 1 ] 128 1 128 0 2 [ 1, 14, 21, 43 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 0, 29 ] , [ 43, 0, 0, 43 ] , [ 73, 24, 36, 13 ] 168 2 84 20 0 [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 43, 63, 42, 1 ] , [ 49, 12, 60, 49 ] , [ 51, 31, 50, 9 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 14, 1 ] Name Index con len c2 c3 SL(2,Z/87Z) Matrix Generators Γ0(87) 120 1 120 0 0 [ 1, 29, 0, 1 ] , [ 22, 0, 48, 4 ] , [ 22, 21, 45, 43 ] , [ 25, 30, 30, 43 ] , [ 55, 45, 57, 34 ] , [ 59, 0, 0, 59 ] Name Index con len c2 c3 SL(2,Z/88Z) Matrix Generators 132 2 66 6 0 [ 1, 0, 44, 1 ] , [ 1, 0, 66, 1 ] , [ 23, 66, 11, 1 ] , [ 45, 0, 0, 45 ] , [ 45, 0, 44, 45 ] , [ 47, 40, 32, 31 ] , [ 65, 0, 0, 65 ] , [ 67, 0, 44, 67 ] , [ 71, 64, 68, 39 ] Γ0(88) 144 1 72 0 0 [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 1, 64, 80, 17 ] , [ 35, 12, 87, 55 ] , [ 45, 0, 44, 45 ] , [ 45, 44, 11, 1 ] , [ 65, 64, 24, 25 ] , [ 73, 0, 56, 41 ] , [ 81, 80, 8, 9 ] Name Index con len c2 c3 SL(2,Z/90Z) Matrix Generators 108 1 54 0 0 [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 50, 50, 11 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 81, 40, 20, 21 ] , [ 89, 30, 60, 89 ] 120 1 20 0 0 [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 70, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 37, 0, 18, 73 ] , [ 37, 54, 0, 73 ] , [ 55, 54, 36, 19 ] , [ 61, 0, 0, 31 ] , [ 86, 75, 45, 11 ] 120 2 40 0 3 [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 35, 36, 84, 71 ] , [ 37, 54, 0, 73 ] , [ 46, 5, 75, 61 ] , [ 73, 0, 72, 37 ] , [ 79, 51, 69, 40 ] 144 1 24 0 0 [ 11, 75, 15, 86 ] , [ 21, 80, 40, 71 ] , [ 31, 30, 60, 61 ] , [ 31, 60, 0, 61 ] , [ 31, 78, 81, 79 ] , [ 46, 45, 45, 1 ] , [ 73, 54, 54, 19 ] , [ 79, 30, 0, 49 ] 144 1 24 0 0 [ 11, 75, 15, 86 ] , [ 21, 80, 40, 71 ] , [ 31, 30, 60, 61 ] , [ 31, 60, 0, 61 ] , [ 31, 78, 36, 79 ] , [ 46, 45, 45, 1 ] , [ 73, 54, 54, 19 ] , [ 79, 30, 0, 49 ] 144 1 48 0 0 [ 1, 54, 54, 37 ] , [ 11, 10, 80, 81 ] , [ 16, 45, 45, 31 ] , [ 31, 30, 60, 61 ] , [ 37, 0, 18, 73 ] , [ 55, 18, 18, 37 ] , [ 61, 0, 60, 31 ] , [ 79, 0, 60, 49 ] , [ 81, 55, 35, 76 ] 216 2 54 32 0 [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 37, 72, 72, 55 ] , [ 46, 45, 45, 1 ] , [ 61, 60, 0, 31 ] , [ 81, 10, 80, 81 ] , [ 89, 0, 0, 89 ] , [ 89, 62, 29, 1 ] Name Index con len c2 c3 SL(2,Z/93Z) Matrix Generators Γ0(93) 128 1 128 0 2 [ 1, 0, 62, 1 ] , [ 4, 78, 51, 88 ] , [ 25, 54, 69, 4 ] , [ 32, 0, 0, 32 ] , [ 64, 45, 42, 31 ] , [ 88, 57, 48, 85 ] Name Index con len c2 c3 SL(2,Z/95Z) Matrix Generators Γ0(95) 120 1 120 0 0 [ 4, 67, 69, 16 ] , [ 15, 28, 83, 22 ] , [ 31, 20, 50, 66 ] , [ 39, 0, 0, 39 ] , [ 41, 10, 50, 91 ] , [ 41, 50, 60, 6 ] , [ 94, 0, 0, 94 ] Name Index con len c2 c3 SL(2,Z/96Z) Matrix Generators 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 21, 80, 19, 45 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 85, 0, 84, 61 ] , [ 95, 0, 0, 95 ] 144 1 12 12 0 [ 1, 0, 48, 1 ] , [ 13, 20, 26, 77 ] , [ 25, 0, 72, 73 ] , [ 25, 20, 38, 65 ] , [ 33, 64, 32, 33 ] , [ 41, 72, 12, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 51, 10, 95, 45 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 95, 0, 0, 95 ] 144 1 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 48, 0, 61 ] 144 1 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 50, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 48, 72, 61 ] 144 1 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 50, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 48, 0, 61 ] 144 1 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 20, 74, 77 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 21, 16, 20, 93 ] , [ 21, 80, 19, 45 ] , [ 25, 0, 72, 73 ] , [ 49, 0, 48, 49 ] , [ 53, 16, 52, 61 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 85, 0, 84, 61 ] , [ 95, 0, 0, 95 ] 144 1 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 20, 74, 77 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 57, 20, 82, 81 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] 144 1 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 57, 20, 82, 81 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 48, 0, 61 ] , [ 89, 20, 50, 49 ] 144 1 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 33, 64, 32, 33 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 57, 20, 82, 81 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 48, 0, 61 ] 144 1 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 20, 74, 77 ] , [ 23, 48, 24, 71 ] , [ 25, 0, 0, 73 ] , [ 25, 20, 26, 17 ] , [ 39, 34, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 57, 20, 82, 81 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 89, 20, 50, 49 ] 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 75, 69, 46 ] , [ 16, 93, 75, 94 ] , [ 19, 66, 30, 79 ] , [ 29, 6, 42, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 90, 1 ] , [ 61, 12, 84, 37 ] , [ 73, 24, 72, 25 ] Γ0(96) 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 16, 93, 75, 94 ] , [ 19, 66, 30, 79 ] , [ 22, 39, 57, 40 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 61, 12, 84, 37 ] , [ 65, 0, 0, 65 ] , [ 73, 24, 72, 25 ] Name Index con len c2 c3 SL(2,Z/99Z) Matrix Generators 108 1 108 0 0 [ 34, 55, 55, 89 ] , [ 46, 63, 81, 55 ] , [ 52, 84, 27, 76 ] , [ 56, 55, 22, 34 ] , [ 67, 0, 33, 34 ] , [ 67, 33, 0, 34 ] , [ 89, 66, 33, 89 ] , [ 98, 0, 0, 98 ] 132 2 44 0 6 [ 1, 0, 33, 1 ] , [ 34, 0, 0, 67 ] , [ 34, 66, 77, 1 ] , [ 34, 81, 90, 31 ] , [ 89, 0, 66, 89 ] , [ 98, 0, 0, 98 ] , [ 98, 72, 18, 89 ] Γ0(99) 144 1 48 0 0 [ 34, 0, 0, 67 ] , [ 56, 0, 22, 23 ] , [ 64, 9, 54, 37 ] , [ 67, 0, 11, 34 ] , [ 67, 0, 66, 34 ] , [ 91, 72, 9, 55 ] , [ 98, 0, 0, 98 ] Name Index con len c2 c3 SL(2,Z/100Z) Matrix Generators 120 1 120 4 0 [ 1, 50, 25, 51 ] , [ 37, 88, 88, 85 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ] 120 1 120 4 0 [ 1, 50, 25, 51 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ] , [ 93, 16, 16, 49 ] 120 1 120 4 0 [ 1, 50, 25, 51 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 73, 76, 96, 89 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ] 120 1 120 4 0 [ 1, 50, 25, 51 ] , [ 41, 40, 0, 61 ] , [ 49, 4, 44, 73 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ] 120 2 30 4 0 [ 1, 25, 25, 26 ] , [ 17, 28, 28, 5 ] , [ 33, 92, 2, 45 ] , [ 51, 0, 50, 51 ] , [ 51, 50, 0, 51 ] , [ 77, 60, 7, 73 ] , [ 81, 0, 80, 21 ] , [ 81, 40, 40, 21 ] 120 2 30 4 0 [ 5, 4, 81, 25 ] , [ 13, 16, 36, 29 ] , [ 26, 75, 75, 1 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 50, 51 ] , [ 51, 50, 0, 51 ] , [ 61, 80, 80, 41 ] , [ 65, 68, 58, 73 ] 120 2 30 4 0 [ 17, 28, 8, 25 ] , [ 26, 25, 25, 1 ] , [ 51, 0, 50, 51 ] , [ 51, 50, 0, 51 ] , [ 65, 36, 9, 5 ] , [ 81, 0, 80, 21 ] , [ 81, 40, 40, 21 ] , [ 85, 48, 98, 73 ] 120 2 30 4 0 [ 13, 56, 36, 9 ] , [ 26, 25, 25, 1 ] , [ 33, 60, 23, 57 ] , [ 51, 0, 50, 51 ] , [ 51, 50, 0, 51 ] , [ 61, 80, 80, 41 ] , [ 81, 80, 0, 21 ] , [ 89, 0, 90, 9 ] 180 1 90 4 0 [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 9, 8, 36, 21 ] , [ 19, 26, 83, 61 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] 200 2 50 4 20 [ 1, 50, 50, 1 ] , [ 21, 0, 40, 81 ] , [ 38, 81, 95, 92 ] , [ 51, 50, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 65, 72, 72, 9 ] , [ 65, 88, 78, 61 ] , [ 81, 40, 20, 21 ] Name Index con len c2 c3 SL(2,Z/102Z) Matrix Generators 108 1 18 0 0 [ 1, 0, 54, 1 ] , [ 1, 68, 68, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 22, 29 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 68, 69 ] , [ 83, 0, 42, 59 ] 108 1 18 0 0 [ 1, 0, 54, 1 ] , [ 1, 68, 68, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 73, 80 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 68, 69 ] , [ 83, 0, 42, 59 ] 108 1 36 0 0 [ 1, 0, 12, 1 ] , [ 31, 0, 18, 79 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 34, 1 ] , [ 43, 0, 42, 19 ] , [ 52, 51, 17, 1 ] , [ 55, 0, 48, 13 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 68, 69 ] Name Index con len c2 c3 SL(2,Z/104Z) Matrix Generators 168 2 42 4 0 [ 1, 0, 26, 1 ] , [ 1, 0, 52, 1 ] , [ 1, 0, 65, 1 ] , [ 1, 24, 8, 89 ] , [ 53, 0, 52, 53 ] , [ 77, 52, 0, 77 ] , [ 79, 52, 78, 79 ] , [ 81, 58, 20, 49 ] , [ 81, 72, 96, 25 ] Name Index con len c2 c3 SL(2,Z/105Z) Matrix Generators 120 2 40 0 3 [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 9, 14, 46, 95 ] , [ 16, 0, 95, 46 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] 120 2 40 0 3 [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 16, 0, 95, 46 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] , [ 99, 14, 91, 50 ] Name Index con len c2 c3 SL(2,Z/106Z) Matrix Generators 108 1 54 0 0 [ 1, 64, 48, 105 ] , [ 19, 104, 52, 95 ] , [ 47, 30, 92, 61 ] , [ 54, 53, 53, 1 ] , [ 105, 0, 0, 105 ] Name Index con len c2 c3 SL(2,Z/107Z) Matrix Generators Γ0(107) 108 1 108 0 0 [ 9, 87, 51, 77 ] , [ 17, 69, 56, 70 ] , [ 106, 0, 0, 106 ] Name Index con len c2 c3 SL(2,Z/108Z) Matrix Generators 144 1 12 0 0 [ 1, 0, 72, 1 ] , [ 1, 54, 54, 1 ] , [ 13, 36, 0, 25 ] , [ 13, 36, 92, 97 ] , [ 28, 27, 81, 55 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 24, 37 ] , [ 89, 54, 0, 17 ] 144 1 24 0 0 [ 1, 0, 72, 1 ] , [ 1, 54, 54, 1 ] , [ 34, 63, 11, 49 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 68, 73 ] , [ 37, 0, 96, 73 ] , [ 43, 72, 14, 31 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 0, 37 ] , [ 107, 0, 0, 107 ] 144 1 48 0 0 [ 1, 0, 36, 1 ] , [ 37, 36, 8, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 48, 37 ] , [ 82, 27, 81, 82 ] , [ 85, 0, 0, 61 ] , [ 107, 0, 0, 107 ] Name Index con len c2 c3 SL(2,Z/113Z) Matrix Generators Γ0(113) 114 1 114 2 0 [ 53, 73, 67, 39 ] , [ 54, 19, 10, 14 ] , [ 112, 0, 0, 112 ] Name Index con len c2 c3 SL(2,Z/116Z) Matrix Generators 120 1 120 4 0 [ 25, 88, 88, 101 ] , [ 51, 0, 48, 91 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 87, 1 ] , [ 59, 87, 29, 88 ] , [ 109, 108, 16, 101 ] , [ 113, 16, 28, 5 ] 120 2 30 4 0 [ 1, 29, 29, 30 ] , [ 1, 58, 58, 1 ] , [ 9, 84, 60, 109 ] , [ 41, 84, 70, 101 ] , [ 45, 20, 101, 81 ] , [ 53, 4, 84, 37 ] , [ 59, 58, 0, 59 ] Name Index con len c2 c3 SL(2,Z/119Z) Matrix Generators 126 2 126 6 0 [ 8, 49, 0, 15 ] , [ 18, 68, 0, 86 ] , [ 29, 42, 21, 92 ] , [ 29, 105, 0, 78 ] , [ 35, 17, 51, 35 ] , [ 50, 0, 0, 50 ] , [ 64, 56, 0, 106 ] , [ 69, 0, 0, 69 ] , [ 69, 34, 51, 1 ] , [ 103, 51, 85, 86 ] Name Index con len c2 c3 SL(2,Z/120Z) Matrix Generators 120 2 20 6 0 [ 1, 60, 60, 1 ] , [ 1, 105, 45, 46 ] , [ 25, 96, 24, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 79, 60, 60, 79 ] , [ 81, 40, 80, 81 ] , [ 96, 73, 71, 24 ] , [ 97, 0, 72, 73 ] , [ 97, 96, 0, 73 ] 120 2 60 6 0 [ 1, 60, 60, 1 ] , [ 1, 105, 45, 46 ] , [ 16, 33, 111, 4 ] , [ 25, 96, 24, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 79, 60, 60, 79 ] , [ 81, 100, 80, 81 ] , [ 97, 0, 72, 73 ] , [ 97, 96, 0, 73 ] 144 2 24 12 0 [ 1, 48, 36, 49 ] , [ 1, 60, 60, 1 ] , [ 1, 88, 76, 89 ] , [ 31, 0, 0, 31 ] , [ 31, 75, 45, 16 ] , [ 31, 90, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 81, 28, 56, 9 ] 144 2 24 12 0 [ 1, 48, 96, 49 ] , [ 1, 60, 60, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 10, 115, 41 ] , [ 31, 75, 45, 16 ] , [ 31, 90, 75, 1 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 70, 95, 81 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] 144 2 72 12 0 [ 1, 40, 100, 41 ] , [ 1, 48, 36, 49 ] , [ 1, 60, 60, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 18, 111, 49 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 81, 100, 80, 81 ] 144 2 72 12 0 [ 1, 40, 100, 41 ] , [ 1, 48, 96, 49 ] , [ 1, 60, 60, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 75, 45, 16 ] , [ 31, 90, 75, 1 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 70, 95, 81 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] Name Index con len c2 c3 SL(2,Z/122Z) Matrix Generators 124 1 62 0 4 [ 1, 61, 61, 62 ] , [ 27, 6, 76, 35 ] , [ 27, 106, 82, 87 ] , [ 37, 114, 102, 67 ] , [ 62, 61, 61, 1 ] , [ 87, 6, 76, 95 ] , [ 95, 8, 24, 29 ] Name Index con len c2 c3 SL(2,Z/123Z) Matrix Generators 126 1 42 6 0 [ 1, 3, 0, 1 ] , [ 1, 41, 41, 83 ] , [ 10, 24, 0, 37 ] , [ 40, 41, 41, 122 ] , [ 42, 41, 82, 42 ] , [ 83, 0, 0, 83 ] , [ 109, 50, 41, 38 ] , [ 114, 52, 41, 9 ] Name Index con len c2 c3 SL(2,Z/128Z) Matrix Generators Γ0(128) 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 11, 54, 74, 119 ] , [ 21, 108, 20, 109 ] , [ 33, 96, 32, 97 ] , [ 41, 24, 104, 89 ] , [ 45, 4, 92, 85 ] , [ 55, 2, 46, 11 ] , [ 65, 64, 64, 65 ] , [ 81, 48, 80, 49 ] , [ 89, 8, 56, 41 ] , [ 90, 87, 9, 40 ] , [ 122, 67, 101, 88 ] , [ 127, 0, 0, 127 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 11, 54, 74, 119 ] , [ 21, 108, 20, 109 ] , [ 33, 96, 32, 97 ] , [ 41, 24, 104, 89 ] , [ 45, 4, 92, 85 ] , [ 55, 2, 46, 11 ] , [ 55, 118, 82, 27 ] , [ 65, 64, 64, 65 ] , [ 81, 48, 80, 49 ] , [ 89, 8, 56, 41 ] , [ 122, 67, 101, 24 ] , [ 127, 0, 0, 127 ] Name Index con len c2 c3 SL(2,Z/130Z) Matrix Generators 140 1 70 0 8 [ 1, 30, 110, 51 ] , [ 27, 78, 26, 27 ] , [ 51, 0, 0, 51 ] , [ 51, 120, 120, 81 ] , [ 53, 0, 52, 27 ] , [ 66, 65, 65, 1 ] , [ 79, 0, 0, 79 ] , [ 111, 120, 20, 31 ] , [ 118, 91, 65, 27 ] Name Index con len c2 c3 SL(2,Z/148Z) Matrix Generators 152 2 38 4 8 [ 1, 74, 74, 1 ] , [ 13, 92, 144, 97 ] , [ 25, 48, 43, 53 ] , [ 61, 56, 78, 125 ] , [ 75, 0, 74, 75 ] , [ 75, 111, 37, 112 ] , [ 97, 132, 132, 53 ] , [ 121, 84, 80, 69 ] Name Index con len c2 c3 SL(2,Z/154Z) Matrix Generators 154 2 77 12 4 [ 23, 11, 132, 23 ] , [ 43, 0, 0, 43 ] , [ 65, 116, 139, 23 ] , [ 67, 88, 22, 45 ] , [ 78, 77, 77, 1 ] , [ 111, 0, 0, 111 ] , [ 127, 140, 14, 127 ] , [ 133, 44, 66, 133 ] , [ 133, 132, 22, 1 ] 154 2 77 12 4 [ 1, 66, 88, 111 ] , [ 1, 77, 77, 78 ] , [ 23, 110, 132, 89 ] , [ 35, 92, 13, 109 ] , [ 45, 0, 22, 89 ] , [ 87, 50, 139, 133 ] , [ 87, 66, 110, 87 ] , [ 111, 0, 0, 111 ] , [ 133, 22, 55, 67 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA