[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 8

Groups of Level: 11 13 15 18 19 20 21 22 24 25 26 27 28 29 30 33 35 36 38 40 42 44 45 48 53 54 56 60 61 63 65 66 70 72 74 75 76 78 80 84 88 90 92 93 94 96 101 103 105 106 108 109 110 111 112 114 117 122 124 125 126 130 140 144 169

^ Level 11 > 11A8 ^ Level 13 > 13A8 Name Index con len c2 c3 SL(2,Z/11Z) Matrix Generators 220 1 55 0 4 [ 8, 2, 2, 2 ] , [ 10, 0, 0, 10 ] Name Index con len c2 c3 SL(2,Z/13Z) Matrix Generators 156 1 78 0 0 [ 6, 4, 6, 2 ] , [ 7, 9, 7, 11 ] 182 1 91 2 2 [ 0, 1, 12, 12 ] , [ 3, 6, 7, 10 ] , [ 12, 0, 0, 12 ] Name Index con len c2 c3 SL(2,Z/15Z) Matrix Generators 180 1 45 8 0 [ 2, 1, 10, 13 ] , [ 4, 0, 0, 4 ] , [ 4, 12, 9, 1 ] , [ 14, 0, 0, 14 ] 180 1 45 8 0 [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 8, 10, 1, 7 ] , [ 11, 0, 0, 11 ] Name Index con len c2 c3 SL(2,Z/18Z) Matrix Generators 162 1 81 2 0 [ 5, 2, 11, 1 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 3, 7 ] , [ 13, 12, 12, 7 ] 162 2 81 8 0 [ 5, 2, 11, 1 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 2, 4, 3 ] Name Index con len c2 c3 SL(2,Z/19Z) Matrix Generators 171 1 171 11 0 [ 2, 10, 8, 12 ] , [ 8, 3, 10, 11 ] , [ 14, 3, 4, 5 ] , [ 18, 0, 0, 18 ] Name Index con len c2 c3 SL(2,Z/20Z) Matrix Generators 120 1 5 0 0 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 16, 0, 13 ] 120 1 20 0 0 [ 6, 15, 15, 1 ] , [ 7, 0, 12, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 0, 11 ] 180 1 45 8 0 [ 1, 0, 10, 1 ] , [ 1, 18, 1, 19 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ] Name Index con len c2 c3 SL(2,Z/21Z) Matrix Generators 168 2 168 8 3 [ 8, 0, 0, 8 ] , [ 9, 2, 1, 12 ] , [ 10, 8, 11, 11 ] , [ 12, 19, 20, 9 ] , [ 13, 0, 0, 13 ] , [ 17, 1, 4, 4 ] , [ 19, 18, 14, 10 ] Name Index con len c2 c3 SL(2,Z/22Z) Matrix Generators 165 1 165 7 0 [ 1, 0, 11, 1 ] , [ 1, 8, 8, 21 ] , [ 13, 14, 2, 9 ] , [ 13, 20, 20, 19 ] , [ 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 ] , [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] 144 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 9, 8, 16, 9 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] 144 1 9 0 0 [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 4, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 9, 16, 14, 9 ] , [ 13, 0, 6, 13 ] , [ 15, 16, 14, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 0, 18, 19 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 3, 20, 13, 15 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 23, 8, 2, 7 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 11, 8, 14, 19 ] , [ 13, 0, 18, 13 ] , [ 15, 20, 13, 3 ] , [ 17, 0, 0, 17 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 5, 4, 10, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] , [ 19, 0, 18, 19 ] , [ 21, 20, 16, 21 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 5, 4, 10, 13 ] , [ 13, 16, 22, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] , [ 19, 0, 18, 19 ] 144 1 36 0 0 [ 1, 12, 0, 1 ] , [ 1, 16, 4, 17 ] , [ 5, 12, 12, 5 ] , [ 7, 4, 4, 23 ] , [ 7, 16, 4, 23 ] , [ 13, 12, 12, 13 ] , [ 15, 22, 2, 3 ] , [ 17, 0, 0, 17 ] , [ 19, 2, 2, 23 ] 144 1 36 0 0 [ 1, 12, 0, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 12, 12, 5 ] , [ 13, 2, 2, 17 ] , [ 13, 12, 12, 13 ] , [ 13, 14, 2, 17 ] , [ 17, 0, 0, 17 ] , [ 19, 2, 14, 23 ] , [ 23, 22, 10, 19 ] 144 1 36 8 0 [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 12, 12, 7 ] , [ 9, 20, 16, 9 ] , [ 16, 19, 13, 20 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 144 1 36 8 0 [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 20, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 21, 20, 16, 21 ] , [ 23, 0, 0, 23 ] 144 1 36 8 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ] , [ 23, 20, 8, 7 ] 144 1 36 8 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 20, 17, 23, 16 ] , [ 23, 0, 0, 23 ] 144 1 72 8 0 [ 5, 0, 0, 5 ] , [ 11, 2, 5, 1 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 15, 8, 22, 15 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 12, 19 ] , [ 23, 0, 0, 23 ] 144 2 36 8 0 [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 16, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 21, 20, 16, 21 ] , [ 23, 0, 0, 23 ] Name Index con len c2 c3 SL(2,Z/25Z) Matrix Generators 150 1 150 2 0 [ 2, 14, 5, 23 ] , [ 11, 0, 5, 16 ] , [ 21, 20, 5, 6 ] , [ 24, 0, 0, 24 ] Name Index con len c2 c3 SL(2,Z/26Z) Matrix Generators 156 1 78 12 0 [ 7, 22, 20, 11 ] , [ 14, 13, 13, 1 ] , [ 19, 4, 6, 15 ] , [ 22, 19, 21, 4 ] Name Index con len c2 c3 SL(2,Z/27Z) Matrix Generators 162 1 162 2 0 [ 1, 26, 26, 2 ] , [ 2, 24, 24, 5 ] , [ 13, 6, 6, 7 ] , [ 19, 9, 0, 10 ] , [ 19, 9, 18, 10 ] Name Index con len c2 c3 SL(2,Z/28Z) Matrix Generators 126 1 63 2 0 [ 1, 0, 14, 1 ] , [ 1, 12, 1, 13 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 17, 21 ] 168 1 84 16 0 [ 1, 7, 7, 22 ] , [ 1, 16, 4, 9 ] , [ 9, 20, 12, 5 ] , [ 11, 11, 22, 17 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] Name Index con len c2 c3 SL(2,Z/29Z) Matrix Generators 210 1 30 14 0 [ 2, 28, 9, 25 ] , [ 10, 12, 23, 19 ] , [ 11, 16, 1, 20 ] , [ 19, 17, 6, 10 ] , [ 28, 0, 0, 28 ] Name Index con len c2 c3 SL(2,Z/30Z) Matrix Generators 120 1 20 0 0 [ 1, 20, 10, 21 ] , [ 1, 24, 12, 19 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 11 ] , [ 27, 20, 4, 23 ] 120 1 20 0 0 [ 5, 16, 14, 9 ] , [ 7, 0, 24, 13 ] , [ 11, 10, 20, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 21, 10, 20, 1 ] , [ 21, 20, 10, 11 ] 120 1 40 0 3 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 15, 22, 2, 19 ] , [ 19, 10, 10, 29 ] , [ 19, 13, 23, 0 ] , [ 21, 20, 10, 21 ] 120 1 60 0 0 [ 1, 20, 10, 21 ] , [ 1, 24, 12, 19 ] , [ 7, 0, 9, 13 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 11 ] 120 2 40 0 3 [ 7, 0, 24, 13 ] , [ 7, 18, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 27, 21, 13 ] , [ 19, 0, 0, 19 ] , [ 21, 2, 16, 23 ] Name Index con len c2 c3 SL(2,Z/33Z) Matrix Generators 165 1 55 9 6 [ 1, 11, 11, 23 ] , [ 10, 0, 0, 10 ] , [ 12, 11, 22, 12 ] , [ 14, 27, 14, 20 ] , [ 19, 10, 10, 14 ] , [ 23, 0, 0, 23 ] , [ 25, 18, 30, 19 ] 165 1 55 9 6 [ 1, 11, 11, 23 ] , [ 10, 0, 0, 10 ] , [ 12, 11, 22, 12 ] , [ 13, 27, 25, 19 ] , [ 19, 10, 10, 14 ] , [ 23, 0, 0, 23 ] , [ 25, 18, 30, 19 ] Name Index con len c2 c3 SL(2,Z/35Z) Matrix Generators 120 1 40 0 0 [ 1, 0, 20, 1 ] , [ 6, 0, 10, 6 ] , [ 11, 0, 10, 16 ] , [ 22, 0, 14, 8 ] , [ 22, 28, 0, 8 ] , [ 29, 0, 0, 29 ] 120 1 40 0 0 [ 1, 0, 20, 1 ] , [ 6, 0, 10, 6 ] , [ 22, 0, 14, 8 ] , [ 22, 28, 0, 8 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 21, 15 ] 140 2 70 8 2 [ 1, 21, 7, 8 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 22, 32, 10, 13 ] , [ 29, 0, 0, 29 ] Name Index con len c2 c3 SL(2,Z/36Z) Matrix Generators 108 1 9 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] , [ 31, 18, 33, 25 ] 108 1 27 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 28, 10, 11 ] , [ 25, 12, 0, 13 ] , [ 29, 24, 0, 5 ] , [ 33, 32, 16, 9 ] 108 1 27 0 0 [ 1, 0, 18, 1 ] , [ 11, 8, 35, 19 ] , [ 13, 0, 24, 25 ] , [ 15, 28, 17, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 12, 0, 13 ] 108 1 27 0 0 [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 11, 24, 18, 23 ] , [ 13, 24, 0, 25 ] , [ 15, 14, 16, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 8, 32, 29 ] 108 2 27 0 0 [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 11, 8, 35, 19 ] , [ 11, 24, 18, 23 ] , [ 13, 24, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 31, 22, 4, 11 ] 108 2 27 0 0 [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 11, 24, 18, 23 ] , [ 15, 32, 34, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 8, 35, 1 ] 108 2 27 0 0 [ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 27, 4, 2, 15 ] , [ 29, 10, 22, 25 ] 144 1 12 0 0 [ 1, 0, 24, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 18, 19 ] , [ 25, 0, 0, 13 ] , [ 25, 24, 16, 1 ] , [ 35, 0, 0, 35 ] 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 28, 13 ] , [ 1, 18, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] 144 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 10, 9, 27, 28 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 18, 19 ] , [ 35, 0, 0, 35 ] 144 1 24 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 24, 32, 1 ] , [ 35, 0, 0, 35 ] 162 1 81 14 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 23, 2, 29, 1 ] , [ 31, 30, 21, 25 ] 162 2 81 8 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 23, 2, 29, 1 ] , [ 33, 2, 22, 21 ] 216 1 54 4 0 [ 1, 12, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 18, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] , [ 35, 2, 35, 1 ] 216 1 54 4 0 [ 1, 12, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] , [ 35, 2, 17, 1 ] , [ 35, 20, 17, 19 ] Name Index con len c2 c3 SL(2,Z/38Z) Matrix Generators 120 1 20 0 0 [ 23, 22, 10, 3 ] , [ 31, 34, 16, 9 ] , [ 33, 22, 34, 25 ] , [ 33, 30, 24, 23 ] 120 1 40 0 0 [ 1, 17, 25, 8 ] , [ 9, 10, 6, 11 ] , [ 27, 32, 24, 13 ] , [ 33, 30, 24, 23 ] Name Index con len c2 c3 SL(2,Z/40Z) Matrix Generators 120 1 15 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 30, 10, 31 ] , [ 17, 8, 16, 17 ] , [ 17, 24, 0, 33 ] , [ 21, 20, 20, 21 ] 120 1 30 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 16 ] , [ 17, 16, 0, 33 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] 120 1 60 0 0 [ 1, 30, 10, 21 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 30, 10, 31 ] , [ 17, 8, 16, 17 ] , [ 17, 24, 0, 33 ] , [ 21, 20, 20, 21 ] 120 1 60 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, 0, 20, 21 ] , [ 21, 20, 20, 21 ] 120 1 60 2 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 36 ] , [ 17, 16, 0, 33 ] , [ 17, 32, 24, 17 ] , [ 31, 20, 20, 31 ] 120 1 60 4 0 [ 9, 0, 0, 9 ] , [ 17, 8, 16, 17 ] , [ 17, 18, 26, 37 ] , [ 17, 24, 0, 33 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 36, 35, 5, 36 ] 120 2 20 6 0 [ 1, 20, 20, 1 ] , [ 6, 15, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 36 ] , [ 17, 0, 32, 33 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 20, 31 ] 120 2 60 6 0 [ 1, 20, 20, 1 ] , [ 6, 15, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 16, 15, 25, 16 ] , [ 17, 0, 32, 33 ] , [ 21, 0, 20, 21 ] , [ 24, 7, 9, 36 ] , [ 31, 20, 20, 31 ] Name Index con len c2 c3 SL(2,Z/42Z) Matrix Generators 126 2 21 6 0 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 37, 30, 0, 25 ] 126 2 42 6 0 [ 1, 28, 28, 29 ] , [ 7, 24, 16, 13 ] , [ 7, 38, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 26, 7 ] , [ 13, 25, 12, 7 ] , [ 15, 28, 14, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] 126 2 63 6 0 [ 1, 0, 21, 1 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ] 126 2 63 8 0 [ 1, 28, 28, 29 ] , [ 5, 2, 11, 13 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ] Name Index con len c2 c3 SL(2,Z/44Z) Matrix Generators 144 1 36 0 0 [ 1, 28, 32, 17 ] , [ 23, 0, 22, 23 ] , [ 23, 22, 22, 23 ] , [ 37, 24, 12, 9 ] , [ 39, 16, 34, 23 ] , [ 41, 6, 14, 1 ] , [ 43, 0, 0, 43 ] 144 1 72 0 0 [ 1, 0, 22, 1 ] , [ 13, 8, 4, 33 ] , [ 23, 0, 33, 23 ] , [ 25, 28, 20, 33 ] , [ 43, 0, 22, 43 ] Name Index con len c2 c3 SL(2,Z/45Z) Matrix Generators 108 1 54 0 0 [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 28, 9, 9, 19 ] , [ 31, 5, 5, 11 ] , [ 31, 15, 15, 16 ] , [ 36, 40, 20, 21 ] , [ 41, 0, 15, 11 ] , [ 44, 30, 15, 44 ] 120 1 40 0 3 [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 15, 40, 16 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] , [ 28, 36, 0, 37 ] 135 1 135 3 6 [ 1, 27, 9, 19 ] , [ 6, 35, 25, 11 ] , [ 10, 36, 9, 1 ] , [ 26, 0, 0, 26 ] , [ 36, 10, 35, 36 ] , [ 37, 0, 18, 28 ] , [ 41, 10, 10, 31 ] , [ 44, 0, 0, 44 ] 162 1 162 14 0 [ 6, 25, 5, 21 ] , [ 9, 17, 19, 36 ] , [ 14, 30, 30, 29 ] , [ 19, 36, 36, 28 ] , [ 26, 0, 0, 26 ] , [ 28, 9, 9, 19 ] , [ 31, 5, 5, 11 ] , [ 31, 15, 15, 16 ] Name Index con len c2 c3 SL(2,Z/48Z) Matrix Generators 96 1 4 0 0 [ 1, 16, 16, 17 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 33, 16, 32, 33 ] , [ 34, 3, 3, 13 ] , [ 37, 36, 0, 13 ] , [ 47, 0, 0, 47 ] 96 1 12 0 0 [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 13, 21, 21, 34 ] , [ 13, 36, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 47, 24, 24, 47 ] 144 1 3 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, 24, 24, 13 ] 144 1 9 0 0 [ 1, 0, 24, 1 ] , [ 5, 32, 32, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 17, 0, 18, 17 ] , [ 21, 32, 16, 45 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] , [ 47, 0, 42, 47 ] 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, 16, 35, 33 ] , [ 47, 0, 0, 47 ] 144 1 12 12 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 12, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] 144 1 24 6 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 12, 37, 35, 36 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 36, 13, 11, 0 ] , [ 47, 0, 0, 47 ] 144 1 24 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 12, 37, 35, 36 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 47, 0, 0, 47 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 3, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 32, 35, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 40, 35, 9 ] , [ 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 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 33, 16, 35, 33 ] , [ 37, 16, 4, 29 ] , [ 47, 0, 0, 47 ] 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 3, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 19, 1 ] , [ 21, 40, 11, 21 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] 144 1 36 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 ] , [ 31, 32, 17, 47 ] , [ 47, 0, 0, 47 ] 144 1 36 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 ] , [ 31, 32, 17, 47 ] , [ 47, 0, 0, 47 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 23, 14, 11, 13 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 47, 22, 19, 13 ] , [ 47, 38, 17, 25 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 23, 14, 11, 13 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 35, 24, 36, 11 ] , [ 47, 38, 17, 25 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 16, 22, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 38, 29, 31 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] , [ 33, 32, 16, 33 ] 144 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 30, 27, 43 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 38, 29, 31 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] , [ 33, 32, 16, 33 ] 144 1 36 12 0 [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] 144 1 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 31, 34, 43, 41 ] , [ 37, 0, 0, 13 ] , [ 47, 0, 0, 47 ] 144 1 36 12 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 ] , [ 37, 0, 0, 13 ] , [ 45, 26, 43, 27 ] , [ 47, 0, 0, 47 ] 144 1 72 6 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 12, 37, 35, 36 ] , [ 17, 0, 0, 17 ] , [ 20, 13, 43, 28 ] , [ 20, 29, 11, 28 ] , [ 36, 13, 11, 0 ] , [ 47, 0, 0, 47 ] 144 1 72 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 12, 37, 35, 36 ] , [ 17, 0, 0, 17 ] , [ 20, 13, 43, 28 ] , [ 20, 29, 11, 28 ] , [ 47, 0, 0, 47 ] 144 1 72 8 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 0, 12, 29 ] , [ 17, 0, 6, 17 ] , [ 23, 34, 7, 25 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 24, 13 ] , [ 43, 46, 19, 17 ] , [ 47, 0, 0, 47 ] 144 2 12 12 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 ] , [ 25, 20, 2, 17 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 12, 41 ] 144 2 36 0 0 [ 1, 0, 12, 1 ] , [ 5, 16, 43, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 3, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 21, 40, 11, 21 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] 144 2 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 14, 5, 23 ] , [ 1, 30, 27, 43 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 38, 29, 31 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 46, 1, 41 ] , [ 9, 20, 46, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 16, 16, 1 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 20, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 24, 36, 25 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 43, 41 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 0, 13 ] , [ 45, 26, 43, 27 ] , [ 47, 0, 0, 47 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 23, 18, 3, 17 ] , [ 23, 34, 19, 1 ] , [ 25, 20, 2, 17 ] , [ 41, 24, 12, 41 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 2, 47, 41 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 16, 16, 1 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 24, 36, 25 ] , [ 43, 6, 21, 13 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 2, 47, 41 ] , [ 7, 46, 1, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 23, 2, 35, 1 ] , [ 25, 24, 36, 25 ] , [ 43, 6, 21, 13 ] 144 2 36 12 0 [ 1, 0, 24, 1 ] , [ 7, 46, 1, 41 ] , [ 9, 20, 46, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 20, 1 ] , [ 23, 0, 24, 23 ] , [ 23, 2, 35, 1 ] , [ 25, 24, 36, 25 ] Name Index con len c2 c3 SL(2,Z/53Z) Matrix Generators 108 1 54 0 0 [ 19, 51, 52, 42 ] , [ 47, 30, 39, 8 ] , [ 52, 0, 0, 52 ] Name Index con len c2 c3 SL(2,Z/54Z) Matrix Generators 108 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 18, 42, 37 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 42, 52, 43 ] , [ 53, 0, 0, 53 ] 108 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 12, 26, 49 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 42, 19 ] , [ 43, 0, 30, 49 ] 108 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 25, 24, 22, 19 ] , [ 31, 0, 30, 7 ] , [ 37, 0, 18, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 24, 19 ] , [ 53, 0, 0, 53 ] 162 2 81 20 0 [ 1, 27, 27, 28 ] , [ 1, 52, 1, 53 ] , [ 5, 30, 30, 29 ] , [ 27, 28, 26, 27 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ] , [ 49, 24, 24, 25 ] Name Index con len c2 c3 SL(2,Z/56Z) Matrix Generators 112 2 28 0 4 [ 1, 28, 28, 1 ] , [ 1, 32, 52, 41 ] , [ 9, 48, 40, 33 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 47, 8, 16, 23 ] , [ 49, 16, 24, 49 ] 112 2 28 0 4 [ 1, 28, 28, 1 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 29, 0, 28, 29 ] , [ 29, 35, 35, 50 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 43, 28, 0, 43 ] , [ 49, 16, 24, 49 ] Name Index con len c2 c3 SL(2,Z/60Z) Matrix Generators 108 1 18 0 0 [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] 120 1 40 0 6 [ 1, 40, 40, 41 ] , [ 1, 45, 5, 46 ] , [ 13, 0, 48, 37 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 0, 31 ] , [ 37, 36, 0, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] 120 1 60 0 0 [ 1, 0, 15, 1 ] , [ 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 ] 120 1 60 8 0 [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 16, 55, 25, 56 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] , [ 56, 55, 25, 16 ] 120 1 120 0 6 [ 1, 5, 25, 6 ] , [ 11, 20, 50, 31 ] , [ 31, 50, 20, 11 ] , [ 37, 36, 0, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 50, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] , [ 49, 24, 36, 25 ] 120 2 20 0 6 [ 13, 24, 0, 37 ] , [ 13, 40, 28, 17 ] , [ 21, 20, 40, 21 ] , [ 26, 15, 15, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 57, 4, 8, 49 ] Name Index con len c2 c3 SL(2,Z/61Z) Matrix Generators 124 1 62 0 4 [ 12, 35, 60, 48 ] , [ 21, 32, 18, 42 ] , [ 30, 18, 25, 13 ] , [ 31, 43, 36, 48 ] , [ 43, 53, 20, 19 ] , [ 51, 19, 45, 12 ] , [ 53, 10, 59, 10 ] Name Index con len c2 c3 SL(2,Z/63Z) Matrix Generators 126 2 63 10 0 [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 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 ] , [ 62, 62, 29, 28 ] 126 2 126 6 0 [ 1, 0, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 10, 36, 18, 46 ] , [ 19, 9, 36, 37 ] , [ 19, 54, 27, 37 ] , [ 22, 42, 0, 43 ] , [ 28, 54, 18, 55 ] , [ 46, 54, 12, 10 ] , [ 53, 22, 25, 52 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 54, 1 ] Name Index con len c2 c3 SL(2,Z/65Z) Matrix Generators 140 1 70 0 8 [ 11, 45, 45, 1 ] , [ 14, 0, 0, 14 ] , [ 31, 55, 25, 36 ] , [ 40, 52, 52, 40 ] , [ 51, 45, 45, 41 ] , [ 53, 0, 0, 27 ] , [ 53, 26, 52, 1 ] Name Index con len c2 c3 SL(2,Z/66Z) Matrix Generators 108 1 36 0 0 [ 1, 22, 22, 23 ] , [ 10, 11, 11, 32 ] , [ 13, 36, 18, 55 ] , [ 23, 0, 0, 23 ] , [ 23, 42, 60, 35 ] , [ 34, 33, 33, 34 ] , [ 45, 22, 44, 45 ] , [ 56, 55, 55, 34 ] , [ 61, 48, 24, 7 ] 132 2 33 12 0 [ 11, 48, 30, 29 ] , [ 13, 46, 25, 53 ] , [ 23, 0, 0, 23 ] , [ 34, 33, 33, 1 ] , [ 43, 0, 0, 43 ] , [ 43, 22, 55, 65 ] Name Index con len c2 c3 SL(2,Z/70Z) Matrix Generators 105 2 105 3 0 [ 1, 0, 35, 1 ] , [ 11, 10, 0, 51 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 14, 57 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 30, 1 ] , [ 43, 0, 56, 57 ] , [ 43, 42, 0, 57 ] 126 2 126 6 0 [ 1, 0, 35, 1 ] , [ 11, 10, 0, 51 ] , [ 11, 50, 60, 31 ] , [ 15, 28, 28, 57 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 50, 10, 51 ] , [ 61, 30, 50, 51 ] 140 2 70 12 2 [ 1, 35, 35, 36 ] , [ 12, 55, 25, 68 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 35, 43 ] , [ 57, 56, 28, 57 ] Name Index con len c2 c3 SL(2,Z/72Z) Matrix Generators 96 2 16 0 0 [ 1, 16, 48, 49 ] , [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 7, 42, 9, 13 ] , [ 10, 63, 63, 37 ] , [ 17, 8, 24, 41 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 27, 19 ] , [ 55, 18, 9, 37 ] 108 1 54 0 0 [ 1, 16, 64, 17 ] , [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 13, 0, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 8, 65 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 53, 26, 56, 37 ] , [ 55, 27, 36, 19 ] , [ 55, 36, 0, 55 ] 108 1 54 0 0 [ 1, 16, 64, 17 ] , [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 59, 44, 11 ] , [ 13, 0, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 19, 27, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 44, 65 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 53, 26, 56, 37 ] , [ 55, 36, 0, 55 ] 108 2 27 4 0 [ 1, 18, 36, 1 ] , [ 1, 32, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 2, 8, 1 ] , [ 17, 56, 44, 1 ] , [ 19, 9, 54, 37 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] 108 2 54 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 59, 44, 11 ] , [ 9, 64, 8, 57 ] , [ 13, 0, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 19, 27, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 44, 65 ] , [ 35, 53, 20, 55 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 55, 36, 0, 55 ] 144 1 12 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 19, 36, 27, 55 ] , [ 25, 16, 24, 1 ] , [ 25, 56, 48, 1 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 41, 28, 51, 5 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 6, 49 ] 144 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 32, 33, 49 ] , [ 1, 48, 0, 1 ] , [ 7, 12, 36, 31 ] , [ 19, 36, 36, 19 ] , [ 19, 36, 63, 55 ] , [ 25, 56, 24, 25 ] , [ 37, 0, 36, 37 ] , [ 49, 24, 0, 25 ] , [ 65, 20, 24, 65 ] 144 2 36 16 0 [ 1, 45, 9, 46 ] , [ 13, 36, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 20, 59, 53, 52 ] , [ 23, 48, 48, 47 ] , [ 25, 48, 48, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 44, 67, 13, 64 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 36, 55 ] 144 2 36 16 0 [ 1, 45, 9, 46 ] , [ 13, 36, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 20, 59, 53, 16 ] , [ 23, 48, 48, 47 ] , [ 25, 48, 48, 49 ] , [ 33, 40, 20, 9 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 36, 55 ] 144 2 36 16 0 [ 1, 45, 9, 46 ] , [ 13, 36, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 20, 59, 53, 16 ] , [ 23, 48, 48, 47 ] , [ 25, 48, 48, 49 ] , [ 33, 40, 56, 9 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 36, 55 ] 144 2 36 16 0 [ 1, 45, 9, 46 ] , [ 13, 36, 48, 61 ] , [ 17, 48, 24, 17 ] , [ 20, 59, 53, 52 ] , [ 23, 48, 48, 47 ] , [ 25, 48, 48, 49 ] , [ 33, 40, 56, 9 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 36, 55 ] 216 1 54 4 0 [ 1, 0, 36, 1 ] , [ 5, 60, 60, 29 ] , [ 7, 60, 18, 31 ] , [ 25, 24, 0, 49 ] , [ 25, 24, 24, 49 ] , [ 25, 24, 66, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 37, 0, 60, 37 ] , [ 41, 14, 14, 61 ] , [ 41, 14, 17, 55 ] , [ 65, 12, 48, 41 ] 216 1 54 4 0 [ 1, 0, 36, 1 ] , [ 1, 22, 46, 5 ] , [ 5, 60, 60, 29 ] , [ 7, 60, 18, 31 ] , [ 25, 24, 0, 49 ] , [ 25, 24, 24, 49 ] , [ 25, 24, 66, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 37, 0, 60, 37 ] , [ 49, 48, 51, 25 ] , [ 65, 12, 48, 41 ] Name Index con len c2 c3 SL(2,Z/74Z) Matrix Generators Γ0(74) 114 1 114 2 0 [ 1, 0, 37, 1 ] , [ 7, 16, 52, 45 ] , [ 29, 18, 40, 7 ] , [ 31, 40, 56, 15 ] , [ 45, 42, 42, 31 ] , [ 73, 0, 0, 73 ] Name Index con len c2 c3 SL(2,Z/75Z) Matrix Generators 180 1 90 8 0 [ 12, 32, 70, 18 ] , [ 16, 15, 0, 61 ] , [ 22, 18, 63, 55 ] , [ 26, 0, 0, 26 ] , [ 31, 15, 15, 46 ] , [ 37, 7, 70, 68 ] , [ 44, 0, 45, 29 ] Name Index con len c2 c3 SL(2,Z/76Z) Matrix Generators Γ0(76) 120 1 60 0 0 [ 1, 0, 19, 1 ] , [ 1, 0, 38, 1 ] , [ 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 126 1 42 6 0 [ 7, 6, 36, 31 ] , [ 27, 52, 26, 27 ] , [ 27, 52, 65, 27 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 69, 16, 68, 9 ] , [ 77, 0, 0, 77 ] 126 2 42 6 0 [ 1, 0, 39, 1 ] , [ 1, 26, 26, 53 ] , [ 7, 6, 10, 31 ] , [ 13, 42, 30, 67 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 53, 0, 0, 53 ] , [ 55, 6, 72, 49 ] Name Index con len c2 c3 SL(2,Z/80Z) Matrix Generators 120 1 15 8 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 16 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 57, 18, 66, 77 ] , [ 71, 60, 60, 71 ] 120 1 30 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] 120 1 60 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 56, 55, 25, 46 ] 120 1 60 2 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 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, 50, 11 ] 160 1 20 0 16 [ 1, 40, 40, 1 ] , [ 17, 48, 16, 17 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 48, 17 ] , [ 33, 64, 0, 17 ] , [ 41, 40, 0, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 40, 21 ] , [ 61, 45, 45, 66 ] Name Index con len c2 c3 SL(2,Z/84Z) Matrix Generators 96 1 8 0 0 [ 1, 66, 36, 25 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 57, 28, 56, 57 ] , [ 71, 63, 21, 8 ] , [ 73, 24, 36, 13 ] , [ 76, 45, 51, 7 ] 96 1 24 0 0 [ 1, 66, 36, 25 ] , [ 29, 0, 0, 29 ] , [ 41, 28, 28, 13 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 69, 28, 56, 69 ] , [ 71, 63, 21, 8 ] , [ 73, 24, 36, 13 ] , [ 76, 45, 51, 7 ] 96 1 32 0 0 [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 77, 43 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 0, 43 ] , [ 57, 28, 56, 57 ] , [ 73, 24, 36, 13 ] 112 2 28 0 4 [ 1, 28, 0, 1 ] , [ 1, 42, 42, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 42, 29 ] , [ 37, 0, 60, 25 ] , [ 37, 12, 66, 1 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ] 112 2 28 0 4 [ 1, 28, 0, 1 ] , [ 1, 42, 42, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 42, 29 ] , [ 37, 0, 60, 25 ] , [ 37, 12, 24, 1 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ] 126 2 63 8 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 47, 2, 11, 13 ] , [ 49, 12, 60, 49 ] , [ 71, 56, 35, 43 ] , [ 71, 70, 7, 1 ] 126 2 63 10 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 70, 14, 15 ] , [ 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 ] , [ 71, 14, 35, 1 ] 168 2 28 24 0 [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 49, 12, 60, 49 ] , [ 51, 31, 50, 9 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] 168 2 84 24 0 [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 24, 36, 37 ] , [ 49, 12, 60, 49 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 14, 1 ] Name Index con len c2 c3 SL(2,Z/88Z) Matrix Generators 96 2 48 0 0 [ 1, 22, 77, 23 ] , [ 12, 77, 55, 67 ] , [ 23, 0, 0, 23 ] , [ 25, 24, 64, 65 ] , [ 45, 0, 44, 45 ] , [ 45, 44, 0, 45 ] , [ 73, 56, 72, 1 ] , [ 73, 80, 40, 33 ] 132 2 33 12 0 [ 1, 0, 44, 1 ] , [ 23, 22, 33, 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, 86, 57, 17 ] 144 1 36 0 0 [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 1, 0, 55, 1 ] , [ 1, 64, 80, 17 ] , [ 29, 44, 56, 85 ] , [ 35, 12, 87, 55 ] , [ 45, 0, 44, 45 ] , [ 65, 64, 24, 25 ] , [ 81, 80, 8, 9 ] Name Index con len c2 c3 SL(2,Z/90Z) Matrix Generators 90 1 45 0 0 [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 36, 5, 25, 51 ] , [ 37, 36, 0, 73 ] , [ 41, 70, 70, 1 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 73, 0, 18, 37 ] 108 2 54 4 0 [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 50, 50, 11 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 51, 35, 10, 51 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 89, 30, 60, 89 ] 120 1 40 0 6 [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 54, 55 ] , [ 29, 75, 15, 14 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 46, 5, 75, 61 ] , [ 73, 0, 72, 37 ] 120 2 20 0 6 [ 1, 10, 30, 31 ] , [ 1, 45, 45, 46 ] , [ 1, 60, 0, 1 ] , [ 5, 84, 66, 29 ] , [ 19, 0, 0, 19 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 55, 34, 36, 19 ] , [ 73, 0, 72, 37 ] 120 2 40 0 3 [ 1, 80, 0, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 35, 36, 84, 71 ] , [ 37, 54, 0, 73 ] , [ 73, 0, 72, 37 ] , [ 79, 51, 69, 40 ] 120 2 40 0 6 [ 1, 65, 15, 76 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 35, 36, 84, 71 ] , [ 37, 54, 0, 73 ] , [ 73, 0, 72, 37 ] , [ 79, 51, 69, 40 ] Name Index con len c2 c3 SL(2,Z/92Z) Matrix Generators 96 1 24 0 0 [ 5, 16, 60, 45 ] , [ 24, 69, 23, 47 ] , [ 45, 0, 46, 45 ] , [ 47, 0, 46, 47 ] , [ 47, 46, 0, 47 ] , [ 89, 16, 68, 5 ] 96 1 96 0 0 [ 47, 0, 0, 47 ] , [ 47, 46, 69, 1 ] , [ 47, 69, 23, 24 ] , [ 57, 52, 60, 37 ] , [ 65, 68, 64, 33 ] , [ 91, 0, 0, 91 ] Name Index con len c2 c3 SL(2,Z/93Z) Matrix Generators 96 1 32 0 0 [ 1, 31, 31, 32 ] , [ 1, 62, 62, 32 ] , [ 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/94Z) Matrix Generators 96 1 48 0 0 [ 15, 84, 76, 81 ] , [ 35, 28, 88, 57 ] , [ 37, 44, 0, 61 ] , [ 48, 47, 47, 1 ] Name Index con len c2 c3 SL(2,Z/96Z) Matrix Generators 144 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 32, 67, 33 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 16, 32, 33 ] , [ 33, 80, 67, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 16, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] 144 1 24 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 51, 46, 71, 81 ] , [ 53, 72, 24, 29 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 84, 65 ] , [ 65, 32, 32, 1 ] , [ 65, 64, 58, 1 ] 144 1 24 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 35, 62, 5, 61 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 51, 46, 71, 81 ] , [ 53, 72, 24, 29 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 84, 65 ] , [ 65, 32, 32, 1 ] 144 1 72 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 35, 62, 5, 61 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 51, 46, 71, 81 ] , [ 53, 72, 24, 29 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 84, 65 ] , [ 67, 62, 23, 17 ] 144 1 72 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 48, 48, 73 ] , [ 35, 30, 87, 17 ] , [ 35, 62, 5, 61 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 51, 46, 71, 81 ] , [ 53, 72, 24, 29 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 84, 65 ] , [ 67, 62, 23, 17 ] Name Index con len c2 c3 SL(2,Z/101Z) Matrix Generators Γ0(101) 102 1 102 2 0 [ 30, 99, 62, 6 ] , [ 87, 63, 81, 25 ] , [ 100, 0, 0, 100 ] Name Index con len c2 c3 SL(2,Z/103Z) Matrix Generators Γ0(103) 104 1 104 0 2 [ 44, 81, 72, 60 ] , [ 57, 72, 64, 14 ] , [ 68, 62, 92, 43 ] , [ 102, 0, 0, 102 ] Name Index con len c2 c3 SL(2,Z/105Z) Matrix Generators 120 2 40 0 6 [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 46, 0, 45, 16 ] , [ 50, 91, 84, 29 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] 120 2 40 0 6 [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 9, 14, 46, 95 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 46, 0, 80, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] Name Index con len c2 c3 SL(2,Z/106Z) Matrix Generators 108 1 54 4 0 [ 1, 64, 101, 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/108Z) Matrix Generators 144 1 12 0 12 [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 37, 36, 84, 73 ] , [ 49, 96, 100, 13 ] , [ 55, 0, 54, 55 ] , [ 55, 27, 81, 28 ] , [ 71, 0, 72, 35 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 72, 37 ] , [ 85, 0, 96, 61 ] 144 1 24 0 12 [ 1, 0, 36, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 12, 56, 25 ] , [ 1, 54, 54, 1 ] , [ 25, 54, 30, 13 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 72, 37 ] , [ 73, 36, 84, 37 ] , [ 103, 27, 57, 16 ] , [ 107, 0, 0, 107 ] Name Index con len c2 c3 SL(2,Z/109Z) Matrix Generators Γ0(109) 110 1 110 2 2 [ 34, 82, 100, 20 ] , [ 40, 25, 12, 92 ] , [ 108, 0, 0, 108 ] Name Index con len c2 c3 SL(2,Z/110Z) Matrix Generators 132 2 66 12 0 [ 1, 44, 0, 1 ] , [ 29, 80, 20, 59 ] , [ 56, 55, 55, 1 ] , [ 67, 44, 55, 23 ] , [ 87, 79, 60, 33 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] Name Index con len c2 c3 SL(2,Z/111Z) Matrix Generators 114 1 38 6 0 [ 1, 37, 37, 38 ] , [ 10, 6, 42, 103 ] , [ 38, 0, 0, 38 ] , [ 38, 37, 37, 1 ] , [ 40, 108, 66, 70 ] , [ 72, 44, 31, 39 ] , [ 76, 18, 48, 7 ] , [ 110, 0, 0, 110 ] 114 2 38 6 0 [ 1, 37, 37, 38 ] , [ 10, 6, 42, 103 ] , [ 38, 0, 0, 38 ] , [ 38, 37, 37, 1 ] , [ 40, 108, 66, 70 ] , [ 72, 44, 31, 39 ] , [ 76, 18, 85, 7 ] , [ 110, 0, 0, 110 ] Name Index con len c2 c3 SL(2,Z/112Z) Matrix Generators 128 2 64 0 8 [ 1, 56, 56, 1 ] , [ 15, 56, 56, 15 ] , [ 57, 56, 0, 57 ] , [ 57, 84, 84, 57 ] , [ 57, 98, 21, 99 ] , [ 85, 63, 63, 106 ] , [ 85, 84, 56, 29 ] , [ 97, 0, 0, 97 ] , [ 97, 32, 48, 17 ] , [ 97, 80, 16, 49 ] 168 2 21 24 0 [ 1, 48, 96, 17 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 98, 15 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 57, 84, 56, 57 ] , [ 63, 66, 44, 55 ] , [ 65, 48, 96, 33 ] , [ 71, 56, 0, 71 ] , [ 81, 0, 80, 65 ] , [ 85, 7, 42, 43 ] , [ 97, 0, 0, 97 ] Name Index con len c2 c3 SL(2,Z/114Z) Matrix Generators 120 1 40 0 6 [ 39, 76, 38, 39 ] , [ 58, 57, 19, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 48, 72, 25 ] , [ 79, 78, 60, 91 ] , [ 91, 12, 66, 25 ] , [ 109, 54, 42, 25 ] 120 2 40 0 6 [ 7, 90, 40, 91 ] , [ 22, 105, 15, 25 ] , [ 39, 76, 38, 39 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 78, 60, 91 ] , [ 91, 12, 66, 25 ] , [ 109, 54, 42, 25 ] Name Index con len c2 c3 SL(2,Z/117Z) Matrix Generators 126 1 126 10 0 [ 1, 72, 72, 37 ] , [ 37, 90, 36, 37 ] , [ 37, 108, 27, 82 ] , [ 40, 39, 39, 79 ] , [ 46, 108, 90, 46 ] , [ 79, 0, 0, 40 ] , [ 79, 13, 13, 14 ] , [ 92, 39, 39, 14 ] , [ 105, 91, 26, 66 ] Name Index con len c2 c3 SL(2,Z/122Z) Matrix Generators 124 1 62 4 4 [ 1, 61, 61, 62 ] , [ 27, 6, 76, 35 ] , [ 27, 106, 21, 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/124Z) Matrix Generators 128 1 32 0 8 [ 1, 62, 62, 1 ] , [ 1, 93, 93, 94 ] , [ 41, 28, 4, 33 ] , [ 57, 40, 120, 69 ] , [ 63, 62, 0, 63 ] , [ 85, 104, 68, 73 ] , [ 89, 82, 60, 33 ] Name Index con len c2 c3 SL(2,Z/125Z) Matrix Generators Γ0(125) 150 1 150 2 0 [ 11, 50, 65, 91 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ] , [ 93, 39, 49, 34 ] Name Index con len c2 c3 SL(2,Z/126Z) Matrix Generators 126 2 63 12 0 [ 1, 28, 49, 113 ] , [ 1, 63, 63, 64 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 12, 1 ] , [ 57, 28, 98, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] 126 2 63 12 0 [ 1, 63, 63, 64 ] , [ 43, 56, 56, 29 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 75, 1 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] 126 2 63 12 0 [ 1, 63, 63, 64 ] , [ 13, 50, 26, 71 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 75, 1 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] 126 2 126 12 0 [ 22, 63, 21, 43 ] , [ 29, 0, 0, 113 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 71, 35, 98, 43 ] , [ 73, 72, 18, 73 ] , [ 76, 57, 33, 43 ] , [ 85, 0, 0, 43 ] , [ 85, 35, 56, 29 ] , [ 85, 42, 42, 43 ] Name Index con len c2 c3 SL(2,Z/130Z) Matrix Generators 140 1 70 4 8 [ 1, 30, 45, 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/140Z) Matrix Generators 160 1 40 0 16 [ 1, 70, 70, 1 ] , [ 21, 60, 40, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 112, 84, 1 ] , [ 41, 0, 70, 41 ] , [ 45, 96, 44, 69 ] , [ 71, 0, 70, 71 ] , [ 71, 105, 35, 36 ] , [ 81, 60, 80, 61 ] , [ 113, 84, 0, 57 ] Name Index con len c2 c3 SL(2,Z/144Z) Matrix Generators 216 1 27 40 0 [ 1, 72, 72, 1 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 73, 128, 128, 41 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 119, 140, 44, 7 ] , [ 127, 72, 72, 127 ] , [ 136, 117, 99, 136 ] Name Index con len c2 c3 SL(2,Z/169Z) Matrix Generators Γ0(169) 182 1 182 2 2 [ 10, 78, 106, 134 ] , [ 27, 0, 130, 144 ] , [ 39, 86, 8, 165 ] , [ 66, 156, 117, 105 ] , [ 77, 6, 164, 94 ] , [ 100, 78, 41, 81 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA