[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 15

Groups of Level: 14 16 17 20 21 23 24 26 28 30 34 35 36 39 40 42 43 45 48 51 52 54 56 60 63 64 66 67 68 70 72 76 77 80 84 85 88 90 92 93 95 96 98 99 100 102 104 105 108 110 112 120 124 126 128 132 135 136 138 140 141 144 150 153 154 155 156 160 161 165 168 170 171 174 175 177 178 179 180 182 186 187 193 194 195 196 200 204 208 210 240

^ Level 14 > 14A15 ^ Level 16 > 16A15 Name Index con len c2 c3 SL(2,Z/14Z) Matrix Generators 336 1 56 0 6 [ 1, 9, 9, 12 ] , [ 13, 0, 0, 13 ] Name Index con len c2 c3 SL(2,Z/16Z) Matrix Generators 384 1 48 8 0 [ 7, 8, 8, 7 ] , [ 8, 3, 5, 8 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] Name Index con len c2 c3 SL(2,Z/17Z) Matrix Generators 272 1 136 0 2 [ 5, 14, 16, 11 ] , [ 8, 10, 9, 5 ] , [ 16, 0, 0, 16 ] 306 1 153 10 0 [ 1, 5, 12, 10 ] , [ 6, 14, 1, 11 ] , [ 10, 4, 13, 7 ] , [ 16, 0, 0, 16 ] 306 1 153 10 0 [ 1, 5, 12, 10 ] , [ 3, 11, 13, 14 ] , [ 10, 4, 13, 7 ] , [ 16, 0, 0, 16 ] Name Index con len c2 c3 SL(2,Z/20Z) Matrix Generators 240 1 1 0 0 [ 1, 10, 10, 1 ] , [ 1, 15, 15, 6 ] , [ 9, 0, 10, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] 240 1 4 0 0 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] 240 1 10 0 0 [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 19, 10, 10, 19 ] 240 1 10 0 0 [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 16, 17 ] 240 1 30 0 0 [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ] 240 1 60 0 0 [ 1, 15, 15, 6 ] , [ 3, 0, 16, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] 240 1 60 0 0 [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] 240 2 30 0 0 [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ] 360 1 90 4 0 [ 11, 0, 10, 11 ] , [ 11, 10, 10, 11 ] , [ 13, 6, 15, 7 ] , [ 19, 0, 0, 19 ] Name Index con len c2 c3 SL(2,Z/21Z) Matrix Generators 252 1 63 4 0 [ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 8, 17, 2 ] 252 1 63 4 0 [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 15, 3, 19 ] Name Index con len c2 c3 SL(2,Z/23Z) Matrix Generators 276 1 276 12 0 [ 1, 19, 13, 18 ] , [ 16, 17, 16, 7 ] , [ 22, 0, 0, 22 ] Name Index con len c2 c3 SL(2,Z/24Z) Matrix Generators 288 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 8, 21 ] , [ 21, 16, 20, 21 ] 288 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] 288 1 12 0 0 [ 1, 12, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 18, 21, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 11, 8, 8, 19 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 12, 23 ] , [ 23, 8, 14, 7 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 0, 18, 5 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 6, 19 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 3, 10, 20, 3 ] , [ 9, 22, 8, 9 ] , [ 9, 22, 20, 9 ] , [ 13, 12, 12, 13 ] , [ 15, 2, 4, 15 ] , [ 17, 12, 0, 17 ] , [ 23, 0, 12, 23 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 7, 8, 17, 23 ] , [ 13, 0, 6, 13 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 16, 7, 7 ] , [ 23, 16, 19, 7 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 5, 16, 7, 13 ] , [ 11, 16, 7, 19 ] , [ 13, 8, 11, 5 ] , [ 17, 0, 18, 17 ] , [ 19, 8, 5, 11 ] , [ 19, 8, 23, 11 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 16, 17 ] , [ 5, 0, 18, 5 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 6, 19 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 0, 1 ] , [ 3, 22, 20, 3 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 12, 17 ] , [ 17, 12, 0, 17 ] , [ 21, 22, 20, 21 ] , [ 23, 0, 12, 23 ] 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 5, 13 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 6, 19 ] 288 1 36 8 0 [ 1, 12, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 16, 17, 23, 8 ] , [ 17, 0, 12, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 7, 0, 0, 7 ] , [ 7, 16, 16, 23 ] , [ 16, 13, 19, 8 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] 288 1 36 8 0 [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 16, 13, 19, 8 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] 288 1 36 16 0 [ 1, 12, 12, 1 ] , [ 5, 20, 20, 13 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 12, 23, 1, 12 ] , [ 17, 12, 12, 17 ] 288 1 36 16 0 [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 16, 23, 17, 8 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 36 16 0 [ 7, 0, 0, 7 ] , [ 13, 4, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 20, 7, 1, 4 ] , [ 20, 13, 19, 4 ] , [ 23, 0, 0, 23 ] 288 1 36 16 0 [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 20, 19, 13, 4 ] 288 1 72 16 0 [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 4, 14, 15 ] , [ 17, 0, 12, 17 ] , [ 23, 10, 19, 1 ] 288 1 72 16 0 [ 5, 0, 0, 5 ] , [ 9, 20, 10, 9 ] , [ 11, 14, 17, 13 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ] 288 2 36 8 0 [ 1, 0, 12, 1 ] , [ 5, 20, 2, 13 ] , [ 5, 20, 14, 13 ] , [ 7, 0, 0, 7 ] , [ 11, 6, 9, 5 ] , [ 17, 0, 0, 17 ] Name Index con len c2 c3 SL(2,Z/26Z) Matrix Generators 273 1 273 7 0 [ 1, 0, 13, 1 ] , [ 3, 6, 20, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 24, 9 ] , [ 25, 0, 0, 25 ] Name Index con len c2 c3 SL(2,Z/28Z) Matrix Generators 224 1 112 0 2 [ 1, 12, 8, 13 ] , [ 9, 16, 0, 25 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 21, 8 ] , [ 27, 0, 0, 27 ] 224 1 112 0 2 [ 1, 7, 7, 22 ] , [ 1, 14, 21, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 0, 15 ] 252 1 63 4 0 [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 5, 16, 11, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] 252 1 63 4 0 [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 9, 12, 24, 1 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] 252 1 126 10 0 [ 1, 14, 7, 15 ] , [ 1, 26, 1, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 2, 17, 7 ] 252 1 126 10 0 [ 5, 8, 16, 9 ] , [ 9, 24, 8, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] , [ 21, 12, 4, 21 ] 252 2 63 4 0 [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 3, 21 ] 252 2 126 10 0 [ 1, 14, 7, 15 ] , [ 1, 26, 1, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 16, 24, 21 ] Name Index con len c2 c3 SL(2,Z/30Z) Matrix Generators 240 1 40 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 25, 24, 6, 25 ] 240 1 60 0 0 [ 1, 0, 10, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 5, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 10, 19 ] 240 1 60 0 0 [ 1, 0, 10, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 20, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 10, 19 ] 240 1 60 8 0 [ 16, 15, 15, 1 ] , [ 17, 10, 19, 13 ] , [ 19, 18, 18, 25 ] , [ 23, 10, 16, 7 ] , [ 29, 0, 0, 29 ] 240 1 120 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 5, 24, 1, 5 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] 270 1 135 10 0 [ 1, 0, 15, 1 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] Name Index con len c2 c3 SL(2,Z/34Z) Matrix Generators 272 1 136 16 2 [ 1, 17, 17, 18 ] , [ 3, 28, 13, 31 ] , [ 5, 14, 16, 11 ] , [ 25, 10, 26, 5 ] , [ 33, 0, 0, 33 ] Name Index con len c2 c3 SL(2,Z/35Z) Matrix Generators 210 1 105 2 0 [ 6, 0, 0, 6 ] , [ 6, 25, 30, 26 ] , [ 8, 7, 21, 1 ] , [ 15, 7, 7, 15 ] , [ 15, 21, 14, 15 ] , [ 26, 5, 20, 16 ] , [ 29, 0, 0, 29 ] 240 1 80 0 0 [ 1, 0, 25, 1 ] , [ 1, 7, 21, 8 ] , [ 6, 0, 0, 6 ] , [ 22, 0, 7, 8 ] , [ 29, 0, 0, 29 ] 240 1 120 0 0 [ 1, 0, 25, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 0, 0, 11 ] , [ 22, 0, 7, 8 ] , [ 29, 0, 0, 29 ] 252 1 126 4 0 [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 21, 25, 5, 21 ] , [ 26, 15, 10, 26 ] , [ 33, 15, 24, 12 ] , [ 34, 0, 0, 34 ] Name Index con len c2 c3 SL(2,Z/36Z) Matrix Generators 216 1 9 0 0 [ 1, 0, 18, 1 ] , [ 1, 24, 12, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 9, 1 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] 216 1 9 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 13, 24, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 28, 13, 25 ] 216 1 9 0 0 [ 19, 0, 0, 19 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] 216 1 9 0 0 [ 1, 18, 18, 1 ] , [ 13, 24, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 10, 22, 25 ] 216 1 54 4 0 [ 1, 18, 18, 1 ] , [ 1, 35, 26, 11 ] , [ 13, 24, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 9, 27, 28 ] , [ 19, 18, 0, 19 ] , [ 29, 6, 24, 5 ] 216 1 108 4 0 [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ] , [ 33, 8, 28, 9 ] 216 1 108 4 0 [ 1, 12, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 21, 22, 11, 3 ] , [ 31, 27, 9, 16 ] , [ 35, 24, 12, 35 ] 216 1 108 4 0 [ 1, 12, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 21, 22, 29, 3 ] , [ 31, 27, 9, 16 ] , [ 35, 24, 12, 35 ] 216 2 27 0 0 [ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 28, 35, 33 ] , [ 35, 12, 24, 35 ] 216 2 27 0 0 [ 1, 0, 18, 1 ] , [ 5, 0, 12, 29 ] , [ 5, 14, 14, 25 ] , [ 7, 10, 28, 35 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] 216 2 27 0 0 [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 12, 13 ] , [ 27, 4, 2, 15 ] 216 2 54 4 0 [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 35, 15 ] , [ 35, 12, 24, 35 ] 216 2 54 4 0 [ 1, 24, 12, 1 ] , [ 19, 0, 0, 19 ] , [ 23, 24, 24, 11 ] , [ 25, 0, 12, 13 ] , [ 29, 26, 35, 19 ] , [ 31, 4, 22, 11 ] 216 2 54 4 0 [ 1, 4, 28, 5 ] , [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] 216 2 108 4 0 [ 1, 34, 1, 35 ] , [ 4, 33, 15, 7 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] 288 1 24 24 0 [ 1, 9, 9, 10 ] , [ 20, 1, 31, 16 ] , [ 25, 0, 12, 13 ] , [ 25, 24, 24, 13 ] , [ 35, 0, 0, 35 ] 288 1 72 8 0 [ 0, 35, 1, 0 ] , [ 1, 12, 24, 1 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] 288 1 72 8 0 [ 0, 17, 19, 0 ] , [ 1, 12, 24, 1 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] 288 1 144 8 0 [ 0, 17, 19, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 13, 21, 21, 34 ] , [ 35, 0, 0, 35 ] 288 1 144 8 0 [ 0, 35, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 13, 21, 21, 34 ] , [ 35, 0, 0, 35 ] Name Index con len c2 c3 SL(2,Z/39Z) Matrix Generators 273 1 91 21 0 [ 4, 15, 24, 22 ] , [ 13, 27, 12, 25 ] , [ 14, 0, 0, 14 ] , [ 14, 26, 26, 1 ] , [ 16, 6, 33, 10 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 13, 27 ] Name Index con len c2 c3 SL(2,Z/40Z) Matrix Generators 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 15, 32, 2, 31 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 15, 31 ] , [ 31, 20, 10, 31 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 5, 36, 24, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 0, 30, 9 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 10, 31 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 31, 10, 5, 21 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 25, 16, 19, 25 ] , [ 31, 0, 10, 31 ] 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 25, 16, 14, 25 ] , [ 31, 10, 5, 21 ] 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 14, 21, 25 ] , [ 21, 38, 13, 35 ] , [ 31, 0, 0, 31 ] 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 1, 30, 35, 11 ] , [ 9, 0, 0, 9 ] , [ 13, 10, 19, 27 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 5, 12, 12, 21 ] , [ 9, 32, 32, 25 ] , [ 15, 34, 21, 5 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] 240 1 80 12 0 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 0, 32, 33 ] , [ 24, 5, 35, 24 ] , [ 26, 35, 35, 21 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ] 240 1 120 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 5, 16, 4, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 35, 21 ] , [ 31, 0, 10, 31 ] 240 1 120 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ] 240 1 120 0 0 [ 1, 0, 20, 1 ] , [ 7, 0, 26, 23 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 20, 31 ] , [ 31, 20, 10, 31 ] 240 1 120 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 17, 0, 16, 33 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 10, 31 ] 240 1 120 4 0 [ 1, 20, 0, 1 ] , [ 9, 0, 0, 9 ] , [ 13, 10, 19, 27 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 15, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] 240 1 120 4 0 [ 1, 20, 0, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] 240 1 120 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 15, 14, 21, 25 ] , [ 21, 10, 35, 11 ] , [ 21, 38, 13, 35 ] , [ 31, 0, 0, 31 ] 240 1 120 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 10, 35, 11 ] , [ 21, 38, 13, 35 ] , [ 25, 24, 16, 25 ] , [ 31, 0, 0, 31 ] 240 2 30 0 0 [ 9, 0, 20, 9 ] , [ 17, 0, 6, 33 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 8, 8, 15 ] , [ 31, 30, 10, 11 ] 288 1 18 0 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 11, 4, 12, 19 ] , [ 15, 32, 32, 7 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 33, 16, 16, 9 ] , [ 33, 32, 32, 25 ] 288 1 18 0 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] 288 1 36 0 0 [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 10, 30, 11 ] , [ 31, 12, 4, 39 ] 288 1 36 0 0 [ 1, 24, 32, 9 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 10, 30, 11 ] 288 1 36 0 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 17, 8, 8, 25 ] , [ 23, 10, 18, 27 ] , [ 25, 14, 6, 5 ] , [ 29, 20, 20, 29 ] 288 1 72 0 0 [ 1, 10, 30, 21 ] , [ 2, 15, 17, 28 ] , [ 11, 30, 10, 31 ] , [ 19, 10, 30, 39 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] 288 1 72 0 0 [ 1, 10, 30, 21 ] , [ 4, 13, 11, 26 ] , [ 17, 24, 24, 1 ] , [ 19, 10, 30, 39 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] 288 1 72 0 0 [ 9, 0, 0, 9 ] , [ 9, 38, 6, 21 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 28, 17 ] , [ 33, 16, 16, 9 ] 288 1 72 0 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 4, 9, 39, 28 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] 288 1 72 0 0 [ 1, 0, 20, 1 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 29, 20, 20, 29 ] , [ 33, 10, 38, 37 ] 288 1 72 8 0 [ 4, 9, 39, 28 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 20, 20, 21 ] , [ 32, 17, 15, 8 ] , [ 39, 0, 0, 39 ] 288 1 72 8 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 28 ] , [ 17, 0, 32, 33 ] , [ 21, 20, 20, 21 ] , [ 39, 0, 0, 39 ] 288 2 36 8 0 [ 1, 20, 20, 1 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 8 ] , [ 21, 20, 20, 21 ] , [ 36, 17, 39, 4 ] , [ 39, 0, 0, 39 ] 288 2 36 8 0 [ 14, 31, 13, 6 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 24, 13, 11, 16 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ] 288 2 72 8 0 [ 6, 39, 37, 34 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 31, 34, 2, 19 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ] 360 1 90 4 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 20, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 10, 31 ] , [ 33, 14, 0, 17 ] Name Index con len c2 c3 SL(2,Z/42Z) Matrix Generators 224 1 112 0 2 [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] , [ 41, 9, 6, 29 ] 224 1 112 0 2 [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] 252 1 63 16 0 [ 1, 30, 18, 37 ] , [ 1, 33, 36, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] 252 1 84 12 0 [ 1, 19, 22, 41 ] , [ 1, 21, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 15, 7, 14, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] 252 2 63 16 0 [ 1, 28, 28, 29 ] , [ 1, 30, 39, 37 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] 252 2 63 16 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 21, 26, 4, 21 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] 252 2 63 16 0 [ 9, 40, 17, 15 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 25, 4, 22, 17 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 37, 34, 40, 5 ] 252 2 63 16 0 [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 25, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 6, 12, 19 ] 252 2 126 16 0 [ 1, 40, 1, 41 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 27, 26, 31, 33 ] , [ 28, 3, 9, 13 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] Name Index con len c2 c3 SL(2,Z/43Z) Matrix Generators 308 1 44 0 14 [ 1, 11, 31, 41 ] , [ 30, 5, 21, 15 ] , [ 32, 26, 4, 10 ] , [ 37, 24, 32, 8 ] , [ 42, 0, 0, 42 ] Name Index con len c2 c3 SL(2,Z/45Z) Matrix Generators 216 1 18 0 0 [ 10, 18, 18, 37 ] , [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 31, 15, 15, 16 ] , [ 34, 15, 0, 4 ] , [ 38, 24, 24, 14 ] , [ 41, 6, 18, 29 ] 216 1 18 0 0 [ 1, 30, 15, 1 ] , [ 11, 15, 15, 41 ] , [ 16, 25, 25, 11 ] , [ 28, 9, 9, 19 ] , [ 31, 0, 30, 16 ] , [ 31, 25, 40, 41 ] , [ 44, 30, 15, 44 ] 216 2 54 0 0 [ 1, 15, 30, 1 ] , [ 4, 0, 30, 34 ] , [ 16, 15, 0, 31 ] , [ 16, 35, 35, 26 ] , [ 19, 36, 36, 28 ] , [ 41, 30, 30, 11 ] 240 1 40 0 6 [ 1, 0, 15, 1 ] , [ 1, 15, 40, 16 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] Name Index con len c2 c3 SL(2,Z/48Z) Matrix Generators 192 1 12 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 17, 0, 0, 17 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 12, 24, 13 ] , [ 47, 24, 24, 47 ] 192 1 12 0 0 [ 13, 12, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 24, 12, 13 ] , [ 47, 0, 0, 47 ] 192 1 24 0 0 [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 7, 12, 36, 7 ] , [ 10, 3, 27, 37 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 24, 17 ] , [ 17, 32, 20, 1 ] , [ 25, 0, 24, 25 ] 192 2 8 0 0 [ 1, 12, 36, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 28 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 34, 27, 27, 13 ] , [ 37, 12, 24, 13 ] 288 1 9 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 7, 0, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 40, 4, 7 ] , [ 25, 0, 24, 25 ] , [ 35, 16, 40, 43 ] 288 1 9 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 23, 16, 28, 7 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 12, 13 ] 288 1 12 0 0 [ 1, 6, 42, 13 ] , [ 1, 24, 24, 1 ] , [ 7, 36, 12, 7 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 22, 39, 21, 46 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] 288 1 12 24 0 [ 0, 5, 19, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 12 24 0 [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 24, 24, 25 ] , [ 45, 40, 8, 21 ] , [ 47, 0, 0, 47 ] 288 1 12 24 0 [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 5, 28, 28, 13 ] , [ 17, 4, 40, 1 ] , [ 25, 0, 0, 25 ] , [ 41, 24, 0, 41 ] , [ 47, 0, 12, 47 ] 288 1 24 24 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] 288 1 24 24 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 44, 38, 5 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 13, 0, 33, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 41, 0, 42, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 9, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 42, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 9, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 42, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 41, 0, 42, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 16, 7, 13 ] , [ 13, 24, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 12, 31 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 44, 1, 31, 4 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 44, 1, 31, 4 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 24 0 [ 0, 5, 19, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 40, 40, 5 ] , [ 17, 0, 0, 17 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 24 0 [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 24 0 [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 24 0 [ 1, 0, 24, 1 ] , [ 7, 2, 23, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 22, 17 ] , [ 37, 44, 14, 5 ] , [ 47, 0, 0, 47 ] 288 1 36 24 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 24, 36, 17 ] , [ 31, 2, 47, 17 ] , [ 31, 44, 26, 23 ] , [ 41, 0, 0, 41 ] , [ 43, 28, 46, 11 ] , [ 47, 0, 0, 47 ] 288 1 72 16 0 [ 1, 0, 24, 1 ] , [ 11, 38, 5, 13 ] , [ 17, 24, 36, 17 ] , [ 23, 34, 7, 25 ] , [ 25, 0, 24, 25 ] , [ 31, 26, 23, 41 ] , [ 35, 10, 7, 13 ] , [ 47, 0, 0, 47 ] 288 1 72 16 0 [ 1, 0, 24, 1 ] , [ 5, 0, 12, 29 ] , [ 9, 20, 34, 33 ] , [ 17, 24, 0, 17 ] , [ 23, 34, 19, 1 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 41, 24, 36, 41 ] 288 1 72 24 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 21, 44, 22, 21 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] 288 1 72 24 0 [ 1, 0, 24, 1 ] , [ 5, 12, 6, 5 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 21, 44, 22, 21 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] 288 2 36 24 0 [ 1, 0, 24, 1 ] , [ 13, 28, 22, 29 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 36, 41 ] , [ 43, 34, 19, 5 ] , [ 47, 0, 0, 47 ] Name Index con len c2 c3 SL(2,Z/51Z) Matrix Generators 216 1 18 0 0 [ 1, 0, 15, 1 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 44, 0, 39, 29 ] , [ 49, 0, 42, 25 ] 216 1 54 0 0 [ 1, 0, 39, 1 ] , [ 1, 0, 45, 1 ] , [ 4, 0, 18, 13 ] , [ 10, 34, 4, 29 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 3, 25 ] Name Index con len c2 c3 SL(2,Z/52Z) Matrix Generators 336 1 28 0 24 [ 1, 26, 26, 1 ] , [ 9, 28, 20, 45 ] , [ 25, 0, 26, 25 ] , [ 27, 26, 0, 27 ] , [ 30, 15, 35, 21 ] Name Index con len c2 c3 SL(2,Z/54Z) Matrix Generators 243 2 243 13 0 [ 11, 46, 22, 43 ] , [ 13, 30, 30, 7 ] , [ 31, 30, 12, 43 ] , [ 37, 36, 36, 19 ] , [ 47, 12, 48, 41 ] , [ 51, 2, 22, 39 ] , [ 51, 40, 47, 39 ] Name Index con len c2 c3 SL(2,Z/56Z) Matrix Generators 224 2 28 0 8 [ 1, 28, 28, 1 ] , [ 17, 24, 48, 25 ] , [ 22, 21, 49, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 28, 0, 43 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ] 224 2 112 8 2 [ 1, 28, 28, 1 ] , [ 1, 54, 29, 55 ] , [ 9, 16, 0, 25 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 14, 49, 55 ] , [ 43, 35, 49, 36 ] , [ 55, 0, 0, 55 ] 224 2 112 8 2 [ 1, 28, 28, 1 ] , [ 1, 40, 8, 41 ] , [ 1, 54, 29, 55 ] , [ 9, 16, 0, 25 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 35, 49, 36 ] , [ 55, 0, 0, 55 ] 224 2 112 8 2 [ 1, 7, 35, 22 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 49, 16, 24, 49 ] 252 1 63 16 0 [ 1, 14, 35, 43 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 30, 17, 7 ] 252 1 126 10 0 [ 1, 0, 42, 1 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 30, 17, 7 ] 252 1 126 10 0 [ 1, 0, 42, 1 ] , [ 1, 40, 8, 41 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] 252 2 126 10 0 [ 1, 0, 42, 1 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] Name Index con len c2 c3 SL(2,Z/60Z) Matrix Generators 216 1 18 0 0 [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 59, 0, 0, 59 ] 216 1 18 0 0 [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 57, 25, 32, 33 ] , [ 57, 55, 32, 33 ] , [ 59, 0, 0, 59 ] 216 1 18 0 0 [ 1, 30, 0, 1 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] 216 1 18 0 0 [ 1, 0, 30, 1 ] , [ 1, 40, 40, 41 ] , [ 31, 0, 30, 31 ] , [ 37, 20, 32, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 43, 40, 58, 47 ] , [ 49, 0, 0, 49 ] 216 1 54 0 0 [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 20, 2, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 30, 12, 23 ] 216 1 54 0 0 [ 21, 40, 20, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 20, 2, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] 216 1 54 0 0 [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 47, 30, 42, 23 ] 216 1 54 0 0 [ 1, 30, 0, 1 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] 216 1 54 0 0 [ 1, 25, 10, 11 ] , [ 17, 40, 22, 13 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ] 216 1 54 0 0 [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] 216 1 54 0 0 [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 51, 55, 20, 51 ] 216 1 54 0 0 [ 21, 40, 50, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] 216 1 54 0 0 [ 1, 25, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] 216 1 54 0 0 [ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] 216 2 54 0 0 [ 1, 25, 40, 41 ] , [ 17, 40, 52, 13 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 37, 40, 22, 53 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ] 240 1 20 0 12 [ 1, 20, 20, 41 ] , [ 25, 12, 12, 49 ] , [ 31, 10, 40, 11 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 41, 25, 5, 6 ] , [ 49, 0, 30, 49 ] , [ 51, 40, 50, 51 ] 240 1 20 0 12 [ 1, 20, 20, 41 ] , [ 1, 30, 30, 1 ] , [ 1, 40, 40, 41 ] , [ 29, 28, 8, 45 ] , [ 31, 30, 0, 31 ] , [ 39, 40, 20, 39 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] 240 1 30 16 0 [ 1, 12, 42, 25 ] , [ 5, 16, 19, 25 ] , [ 16, 45, 15, 31 ] , [ 25, 4, 31, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] 240 1 30 16 0 [ 1, 12, 42, 25 ] , [ 9, 40, 20, 9 ] , [ 16, 45, 15, 31 ] , [ 25, 44, 11, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] 240 1 40 0 12 [ 1, 30, 30, 1 ] , [ 11, 25, 35, 36 ] , [ 13, 0, 36, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 30, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 12, 25 ] , [ 49, 36, 48, 1 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 25, 54, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 41, 0, 55, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 25, 24, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 41, 0, 55, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 16 0 [ 1, 40, 40, 41 ] , [ 11, 50, 35, 1 ] , [ 13, 20, 56, 17 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 16 0 [ 1, 40, 40, 41 ] , [ 13, 0, 36, 37 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] , [ 51, 10, 35, 21 ] 240 2 20 0 12 [ 1, 30, 30, 1 ] , [ 9, 32, 52, 5 ] , [ 19, 6, 48, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 30, 41 ] , [ 43, 30, 36, 7 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] 240 2 30 16 0 [ 1, 12, 42, 25 ] , [ 16, 45, 15, 31 ] , [ 21, 20, 40, 21 ] , [ 25, 44, 11, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 30, 31 ] , [ 41, 24, 32, 29 ] , [ 41, 30, 50, 41 ] , [ 49, 0, 0, 49 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 24, 12, 49 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 30, 31 ] , [ 41, 30, 50, 41 ] , [ 49, 0, 0, 49 ] 288 1 144 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 3, 55 ] , [ 17, 0, 32, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 5, 41 ] , [ 49, 0, 0, 49 ] 288 1 144 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 3, 55 ] , [ 37, 0, 12, 13 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 5, 41 ] , [ 49, 0, 0, 49 ] 288 2 24 24 0 [ 1, 20, 20, 41 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] 288 2 72 0 0 [ 1, 0, 40, 1 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 30, 31 ] , [ 37, 0, 57, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 30, 49 ] , [ 49, 24, 24, 13 ] 288 2 72 24 0 [ 11, 20, 20, 31 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] Name Index con len c2 c3 SL(2,Z/63Z) Matrix Generators 252 1 252 20 0 [ 1, 18, 45, 55 ] , [ 8, 49, 49, 1 ] , [ 15, 28, 35, 57 ] , [ 22, 0, 42, 43 ] , [ 22, 49, 28, 8 ] , [ 28, 36, 27, 55 ] , [ 29, 21, 21, 50 ] , [ 34, 38, 11, 29 ] , [ 43, 14, 35, 29 ] , [ 43, 21, 0, 22 ] , [ 55, 0, 0, 55 ] Name Index con len c2 c3 SL(2,Z/64Z) Matrix Generators 192 1 12 0 0 [ 1, 8, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 36, 24, 17 ] , [ 21, 16, 0, 61 ] , [ 21, 42, 60, 53 ] , [ 25, 0, 0, 41 ] , [ 27, 0, 32, 19 ] , [ 33, 0, 0, 33 ] , [ 45, 0, 32, 37 ] , [ 49, 0, 0, 17 ] , [ 57, 6, 36, 33 ] 192 1 12 0 0 [ 1, 8, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 36, 24, 17 ] , [ 21, 16, 0, 61 ] , [ 21, 40, 16, 61 ] , [ 25, 0, 0, 41 ] , [ 27, 0, 32, 19 ] , [ 33, 0, 0, 33 ] , [ 45, 0, 32, 37 ] , [ 49, 0, 0, 17 ] , [ 57, 6, 4, 33 ] 192 1 12 0 0 [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 13, 14, 36, 29 ] , [ 17, 0, 0, 49 ] , [ 21, 48, 0, 61 ] , [ 33, 0, 0, 33 ] , [ 33, 28, 8, 1 ] , [ 33, 56, 16, 33 ] , [ 41, 32, 0, 25 ] , [ 45, 16, 0, 37 ] , [ 63, 0, 0, 63 ] 192 1 12 0 0 [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 0, 0, 49 ] , [ 21, 48, 0, 61 ] , [ 29, 34, 28, 13 ] , [ 33, 0, 0, 33 ] , [ 33, 28, 8, 1 ] , [ 33, 56, 16, 33 ] , [ 41, 32, 0, 25 ] , [ 45, 16, 0, 37 ] , [ 63, 0, 0, 63 ] 192 1 24 0 0 [ 1, 32, 0, 1 ] , [ 9, 0, 32, 57 ] , [ 9, 38, 4, 17 ] , [ 17, 0, 0, 49 ] , [ 17, 8, 48, 49 ] , [ 17, 42, 28, 9 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 32, 33 ] , [ 37, 46, 36, 5 ] , [ 45, 18, 60, 61 ] , [ 57, 36, 24, 41 ] , [ 63, 0, 0, 63 ] 192 1 24 0 0 [ 1, 16, 32, 1 ] , [ 1, 20, 56, 33 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 3, 26, 60, 51 ] , [ 13, 26, 60, 61 ] , [ 13, 34, 44, 61 ] , [ 17, 0, 0, 49 ] , [ 33, 40, 48, 33 ] , [ 33, 48, 32, 33 ] , [ 41, 0, 32, 25 ] , [ 57, 2, 28, 1 ] , [ 57, 32, 32, 9 ] 192 1 48 0 0 [ 12, 13, 11, 60 ] , [ 15, 56, 40, 47 ] , [ 17, 32, 0, 49 ] , [ 18, 11, 33, 38 ] , [ 21, 18, 2, 17 ] , [ 33, 32, 32, 33 ] , [ 41, 16, 0, 25 ] , [ 45, 60, 28, 53 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 57, 56, 56, 9 ] , [ 62, 45, 23, 26 ] , [ 63, 48, 16, 63 ] 192 1 48 0 0 [ 17, 16, 16, 49 ] , [ 17, 48, 48, 49 ] , [ 20, 11, 13, 52 ] , [ 25, 0, 48, 41 ] , [ 31, 24, 40, 31 ] , [ 33, 32, 32, 33 ] , [ 37, 52, 20, 61 ] , [ 39, 42, 58, 51 ] , [ 41, 40, 40, 25 ] , [ 49, 0, 32, 17 ] , [ 63, 32, 32, 63 ] 192 1 48 0 0 [ 13, 44, 12, 21 ] , [ 15, 8, 24, 47 ] , [ 17, 8, 24, 49 ] , [ 17, 40, 56, 49 ] , [ 24, 9, 7, 16 ] , [ 27, 22, 38, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 40, 40, 25 ] , [ 47, 24, 8, 15 ] , [ 49, 48, 48, 17 ] , [ 57, 24, 24, 9 ] , [ 63, 48, 16, 63 ] 192 1 48 0 0 [ 9, 0, 16, 57 ] , [ 9, 40, 40, 57 ] , [ 12, 29, 27, 12 ] , [ 17, 0, 32, 49 ] , [ 17, 16, 16, 49 ] , [ 17, 38, 22, 53 ] , [ 29, 60, 28, 5 ] , [ 33, 32, 32, 33 ] , [ 41, 40, 40, 25 ] , [ 53, 52, 20, 45 ] , [ 63, 48, 16, 63 ] 192 2 48 0 0 [ 1, 32, 32, 1 ] , [ 17, 24, 40, 49 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 36, 31, 1, 8 ] , [ 47, 16, 16, 15 ] , [ 47, 52, 12, 31 ] , [ 49, 16, 16, 17 ] , [ 57, 8, 40, 9 ] , [ 61, 60, 60, 37 ] , [ 63, 0, 0, 63 ] 192 2 48 0 0 [ 1, 32, 32, 1 ] , [ 17, 24, 40, 49 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 36, 31, 1, 8 ] , [ 47, 16, 16, 15 ] , [ 47, 52, 12, 31 ] , [ 49, 16, 16, 17 ] , [ 51, 20, 52, 43 ] , [ 57, 8, 40, 9 ] , [ 63, 0, 0, 63 ] Name Index con len c2 c3 SL(2,Z/66Z) Matrix Generators 216 1 108 0 0 [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 34, 33, 33, 34 ] , [ 35, 24, 6, 23 ] , [ 43, 0, 0, 43 ] , [ 45, 44, 22, 45 ] , [ 61, 48, 24, 7 ] , [ 65, 0, 0, 65 ] Name Index con len c2 c3 SL(2,Z/67Z) Matrix Generators 204 1 68 0 0 [ 9, 7, 51, 10 ] , [ 22, 29, 31, 47 ] , [ 66, 0, 0, 66 ] Name Index con len c2 c3 SL(2,Z/68Z) Matrix Generators 216 1 54 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 44, 1 ] , [ 21, 0, 56, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 16, 35 ] , [ 35, 34, 20, 35 ] , [ 49, 0, 32, 25 ] , [ 65, 0, 46, 45 ] 216 1 54 0 0 [ 1, 0, 32, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 48, 59 ] , [ 21, 0, 16, 13 ] , [ 25, 0, 24, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 34, 35 ] , [ 55, 34, 14, 47 ] , [ 58, 51, 21, 22 ] 216 1 54 0 0 [ 1, 0, 32, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 48, 59 ] , [ 21, 0, 16, 13 ] , [ 25, 0, 24, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 34, 35 ] , [ 55, 34, 14, 47 ] , [ 58, 51, 1, 56 ] 216 1 54 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 44, 1 ] , [ 21, 0, 56, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 16, 35 ] , [ 35, 34, 20, 35 ] , [ 49, 0, 32, 25 ] , [ 65, 0, 36, 45 ] 216 1 108 4 0 [ 1, 0, 12, 1 ] , [ 18, 17, 51, 18 ] , [ 21, 0, 32, 13 ] , [ 23, 34, 46, 3 ] , [ 25, 0, 36, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 0, 12, 35 ] , [ 53, 0, 40, 9 ] 216 1 108 4 0 [ 1, 0, 8, 1 ] , [ 1, 34, 17, 35 ] , [ 3, 34, 59, 57 ] , [ 13, 0, 44, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 43, 0, 4, 19 ] Name Index con len c2 c3 SL(2,Z/70Z) Matrix Generators 210 1 105 8 0 [ 26, 25, 65, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 56, 15 ] , [ 29, 56, 28, 1 ] , [ 31, 55, 10, 11 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 40, 20, 61 ] 210 2 70 0 6 [ 1, 14, 42, 29 ] , [ 8, 63, 49, 1 ] , [ 11, 10, 0, 51 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 60, 10, 1 ] , [ 43, 0, 56, 57 ] , [ 61, 30, 50, 51 ] 210 2 105 8 0 [ 1, 14, 7, 29 ] , [ 9, 16, 8, 61 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 60, 0, 11 ] , [ 61, 30, 50, 51 ] 210 2 210 6 0 [ 1, 0, 35, 1 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 0, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 20, 25, 61 ] 252 1 126 16 0 [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 25, 66 ] , [ 46, 41, 3, 24 ] , [ 51, 50, 10, 51 ] , [ 57, 42, 42, 15 ] Name Index con len c2 c3 SL(2,Z/72Z) Matrix Generators 192 1 16 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 23, 8, 24, 71 ] , [ 25, 0, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 49, 32, 24, 1 ] , [ 49, 56, 24, 1 ] , [ 61, 29, 69, 34 ] , [ 65, 32, 60, 65 ] , [ 65, 68, 24, 65 ] 192 1 16 0 0 [ 1, 12, 36, 1 ] , [ 1, 16, 48, 49 ] , [ 1, 24, 0, 1 ] , [ 1, 40, 48, 49 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 24, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] 192 1 32 0 0 [ 5, 44, 12, 5 ] , [ 13, 60, 0, 61 ] , [ 17, 68, 48, 65 ] , [ 25, 48, 0, 49 ] , [ 31, 44, 48, 31 ] , [ 49, 0, 0, 25 ] , [ 49, 8, 48, 49 ] , [ 58, 63, 39, 61 ] , [ 61, 0, 36, 13 ] , [ 67, 0, 0, 43 ] 192 1 32 0 0 [ 13, 60, 0, 61 ] , [ 25, 48, 0, 49 ] , [ 29, 68, 48, 53 ] , [ 41, 8, 48, 41 ] , [ 49, 0, 0, 25 ] , [ 49, 8, 48, 49 ] , [ 55, 8, 48, 7 ] , [ 58, 63, 39, 61 ] , [ 59, 8, 12, 59 ] , [ 61, 0, 36, 13 ] 192 1 64 0 0 [ 1, 24, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 9, 37 ] , [ 25, 0, 0, 49 ] , [ 25, 48, 0, 49 ] , [ 37, 9, 9, 10 ] , [ 49, 24, 0, 25 ] , [ 49, 32, 24, 1 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 0, 41 ] 216 1 18 0 0 [ 1, 36, 0, 1 ] , [ 1, 45, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 27, 36, 53 ] , [ 19, 9, 36, 55 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 24, 24, 25 ] , [ 49, 48, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 56, 44, 37 ] 216 1 18 0 0 [ 1, 16, 64, 17 ] , [ 1, 36, 0, 1 ] , [ 1, 45, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 27, 36, 53 ] , [ 19, 9, 36, 55 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 24, 24, 25 ] , [ 49, 48, 0, 25 ] , [ 53, 0, 0, 53 ] 216 1 54 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 4, 4, 17 ] , [ 1, 40, 34, 65 ] , [ 5, 68, 8, 37 ] , [ 7, 4, 28, 47 ] , [ 7, 24, 48, 31 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 36, 37 ] , [ 41, 42, 3, 47 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] 216 1 54 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 5, 6, 63, 47 ] , [ 7, 24, 48, 31 ] , [ 13, 4, 58, 29 ] , [ 13, 40, 28, 53 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 0, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] , [ 59, 24, 60, 11 ] 216 1 54 8 0 [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 36, 37 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 64, 27, 45, 28 ] , [ 65, 24, 24, 41 ] 216 1 54 8 0 [ 1, 27, 54, 19 ] , [ 1, 36, 0, 1 ] , [ 3, 50, 16, 51 ] , [ 17, 12, 24, 17 ] , [ 25, 24, 0, 49 ] , [ 33, 2, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 43, 52, 16, 11 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 0, 55 ] , [ 59, 60, 0, 11 ] , [ 67, 69, 42, 25 ] 216 1 108 10 0 [ 1, 36, 36, 1 ] , [ 9, 8, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 28, 63, 9, 64 ] , [ 37, 0, 36, 37 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] 216 1 108 10 0 [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 45, 44, 28, 45 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] 216 2 27 8 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 8, 20, 41 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 20, 68, 35 ] , [ 49, 62, 56, 65 ] , [ 55, 5, 62, 41 ] , [ 55, 42, 12, 55 ] , [ 55, 48, 24, 55 ] 216 2 27 8 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 17, 54, 36, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 56, 32, 17 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 44, 56, 59 ] , [ 47, 10, 52, 31 ] , [ 55, 5, 62, 41 ] , [ 55, 48, 24, 55 ] 216 2 27 8 0 [ 1, 36, 0, 1 ] , [ 9, 7, 50, 63 ] , [ 17, 28, 52, 1 ] , [ 17, 47, 62, 19 ] , [ 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 ] 216 2 27 8 0 [ 1, 36, 0, 1 ] , [ 17, 48, 24, 17 ] , [ 19, 30, 60, 19 ] , [ 35, 55, 70, 1 ] , [ 37, 36, 0, 37 ] , [ 41, 30, 12, 65 ] , [ 47, 24, 24, 23 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 51, 23, 34, 45 ] , [ 55, 0, 0, 55 ] , [ 71, 1, 34, 37 ] 216 2 54 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 23, 54, 24, 47 ] , [ 29, 6, 24, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 47, 22, 28, 7 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 65, 33, 24, 41 ] 216 2 54 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 23, 54, 24, 47 ] , [ 29, 6, 24, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 32, 8, 17 ] , [ 49, 48, 0, 25 ] , [ 65, 33, 24, 41 ] 216 2 54 4 0 [ 1, 36, 0, 1 ] , [ 5, 51, 0, 29 ] , [ 9, 40, 2, 33 ] , [ 19, 18, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 6, 0, 49 ] , [ 27, 62, 46, 15 ] , [ 31, 6, 60, 7 ] , [ 37, 48, 24, 37 ] , [ 49, 24, 24, 25 ] , [ 57, 56, 22, 57 ] , [ 65, 48, 36, 41 ] 216 2 54 4 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 23, 45, 6, 65 ] , [ 25, 0, 24, 49 ] , [ 25, 8, 20, 41 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 20, 68, 35 ] , [ 47, 10, 52, 31 ] , [ 55, 48, 24, 55 ] , [ 59, 51, 54, 65 ] 216 2 54 4 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 7, 66, 48, 31 ] , [ 13, 36, 48, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 56, 32, 17 ] , [ 29, 10, 16, 13 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 62, 56, 65 ] , [ 55, 5, 62, 41 ] , [ 55, 48, 24, 55 ] 216 2 54 8 0 [ 1, 14, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 19, 36, 0, 19 ] , [ 21, 28, 44, 69 ] , [ 25, 2, 32, 17 ] , [ 25, 60, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 18, 55 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] 216 2 108 10 0 [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 45, 44, 28, 45 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 25, 0, 0, 49 ] , [ 25, 60, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 63, 19 ] , [ 37, 36, 36, 37 ] , [ 41, 30, 63, 11 ] , [ 41, 48, 0, 65 ] , [ 49, 16, 0, 25 ] , [ 55, 0, 0, 55 ] 288 2 144 32 0 [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 13, 16, 40, 5 ] , [ 17, 32, 8, 49 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 48, 49 ] , [ 36, 19, 53, 60 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] Name Index con len c2 c3 SL(2,Z/76Z) Matrix Generators 228 2 228 10 3 [ 20, 57, 19, 39 ] , [ 35, 32, 8, 3 ] , [ 39, 0, 0, 39 ] , [ 39, 38, 19, 1 ] , [ 59, 73, 34, 73 ] , [ 75, 0, 0, 75 ] Name Index con len c2 c3 SL(2,Z/77Z) Matrix Generators 231 2 231 15 0 [ 23, 11, 55, 23 ] , [ 34, 0, 0, 34 ] , [ 43, 0, 0, 43 ] , [ 50, 63, 14, 50 ] , [ 56, 44, 66, 56 ] , [ 65, 39, 62, 23 ] , [ 67, 11, 22, 45 ] Name Index con len c2 c3 SL(2,Z/80Z) Matrix Generators 192 1 24 0 0 [ 1, 20, 60, 1 ] , [ 1, 32, 24, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 5, 65, 41 ] , [ 17, 64, 64, 1 ] , [ 21, 40, 20, 61 ] , [ 41, 0, 40, 41 ] , [ 63, 16, 16, 79 ] , [ 65, 32, 32, 17 ] 192 1 24 0 0 [ 1, 20, 60, 1 ] , [ 1, 40, 40, 1 ] , [ 6, 25, 45, 41 ] , [ 31, 20, 60, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 65, 64, 16, 65 ] 192 1 48 0 0 [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 7, 28, 68, 55 ] , [ 41, 0, 40, 41 ] , [ 41, 35, 55, 6 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 0, 20, 21 ] , [ 71, 44, 72, 39 ] 192 2 48 0 0 [ 0, 3, 53, 68 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 6, 25, 45, 41 ] , [ 17, 48, 48, 65 ] , [ 31, 20, 60, 31 ] , [ 41, 40, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 40, 21 ] 240 1 30 16 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 15, 54, 21, 65 ] , [ 31, 0, 0, 31 ] , [ 31, 68, 38, 55 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 71, 30, 5, 1 ] 240 1 30 16 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 68, 38, 55 ] , [ 31, 70, 5, 1 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 65, 64, 16, 65 ] 240 1 60 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 0, 75, 1 ] , [ 25, 56, 24, 25 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 20, 21 ] 240 1 60 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 0, 75, 1 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 20, 21 ] , [ 65, 16, 64, 65 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 21, 40, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 45, 16, 4, 5 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 35, 21 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 21, 40, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 35, 21 ] , [ 65, 16, 64, 65 ] 240 1 120 4 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 11, 40, 20, 51 ] , [ 15, 66, 29, 5 ] , [ 31, 10, 5, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 40, 40, 21 ] 240 1 120 4 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 11, 40, 20, 51 ] , [ 31, 50, 45, 21 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 40, 40, 21 ] , [ 65, 16, 64, 65 ] 240 2 60 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 9, 40, 0, 9 ] , [ 21, 0, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 45, 44, 16, 5 ] , [ 49, 0, 70, 49 ] , [ 61, 60, 35, 41 ] , [ 65, 48, 48, 49 ] 288 1 18 0 0 [ 31, 10, 70, 51 ] , [ 31, 12, 44, 79 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 8, 16, 1 ] , [ 61, 20, 60, 21 ] , [ 65, 32, 32, 17 ] 288 1 18 0 0 [ 1, 32, 64, 49 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 60, 20, 71 ] 288 1 36 0 0 [ 1, 52, 24, 49 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 68, 17 ] , [ 33, 16, 16, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 40, 49 ] , [ 59, 58, 66, 31 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 31, 52, 44, 79 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 47, 9, 44 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 16, 15, 65, 46 ] , [ 16, 79, 17, 54 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 1, 64, 32, 49 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] 288 1 72 0 0 [ 1, 16, 16, 17 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 4, 13, 51, 66 ] , [ 4, 63, 41, 46 ] , [ 17, 64, 64, 1 ] , [ 21, 20, 60, 61 ] , [ 33, 16, 16, 49 ] , [ 34, 63, 41, 76 ] , [ 41, 40, 40, 41 ] , [ 59, 10, 70, 39 ] Name Index con len c2 c3 SL(2,Z/84Z) Matrix Generators 192 1 24 0 0 [ 1, 42, 42, 1 ] , [ 13, 24, 72, 49 ] , [ 13, 56, 56, 41 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 70, 1 ] , [ 43, 42, 0, 43 ] , [ 73, 24, 36, 13 ] 192 1 24 0 0 [ 1, 42, 42, 1 ] , [ 13, 24, 72, 49 ] , [ 13, 56, 14, 41 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 42, 0, 43 ] , [ 73, 24, 36, 13 ] 192 1 32 0 0 [ 1, 28, 28, 29 ] , [ 1, 56, 56, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] 192 1 48 0 0 [ 1, 35, 14, 71 ] , [ 1, 42, 42, 1 ] , [ 1, 72, 72, 61 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 42, 29 ] , [ 43, 0, 42, 43 ] , [ 73, 24, 36, 13 ] 192 1 96 0 0 [ 1, 28, 28, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 57, 70, 77, 15 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] 192 1 96 0 0 [ 1, 42, 21, 43 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 57, 70, 77, 15 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] 224 2 28 0 8 [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 49, 24, 72, 13 ] , [ 64, 63, 21, 43 ] , [ 71, 21, 21, 50 ] 252 2 63 16 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 29, 56, 56, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 47, 36, 72, 23 ] , [ 47, 58, 67, 13 ] , [ 71, 56, 35, 43 ] 252 2 63 20 0 [ 1, 0, 42, 1 ] , [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 43, 42, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] Name Index con len c2 c3 SL(2,Z/85Z) Matrix Generators 216 1 108 0 0 [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 36, 51, 0, 26 ] , [ 69, 51, 0, 69 ] , [ 82, 68, 0, 28 ] 216 1 108 0 0 [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 31, 51, 0, 11 ] , [ 36, 51, 0, 26 ] , [ 69, 51, 0, 69 ] Name Index con len c2 c3 SL(2,Z/88Z) Matrix Generators 192 1 48 0 0 [ 1, 44, 44, 1 ] , [ 12, 33, 11, 67 ] , [ 23, 0, 44, 23 ] , [ 41, 48, 72, 65 ] , [ 45, 0, 44, 45 ] , [ 49, 48, 40, 41 ] , [ 65, 0, 44, 65 ] 192 1 48 0 0 [ 1, 44, 44, 1 ] , [ 12, 33, 11, 67 ] , [ 23, 0, 0, 23 ] , [ 33, 8, 48, 73 ] , [ 45, 44, 0, 45 ] , [ 65, 0, 0, 65 ] , [ 81, 80, 8, 9 ] 192 1 192 0 0 [ 1, 22, 33, 23 ] , [ 12, 77, 55, 67 ] , [ 23, 0, 0, 23 ] , [ 25, 24, 64, 65 ] , [ 45, 0, 0, 45 ] , [ 73, 56, 72, 1 ] , [ 73, 80, 40, 33 ] Name Index con len c2 c3 SL(2,Z/90Z) Matrix Generators 180 1 15 0 0 [ 1, 30, 60, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 37, 72, 54, 37 ] , [ 41, 50, 20, 31 ] , [ 41, 60, 0, 11 ] , [ 71, 75, 15, 26 ] , [ 73, 0, 18, 37 ] 180 1 30 0 0 [ 1, 60, 30, 1 ] , [ 7, 63, 81, 22 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 37, 78, 6, 37 ] , [ 46, 45, 45, 1 ] , [ 61, 60, 0, 31 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ] , [ 83, 32, 14, 13 ] 180 1 30 0 0 [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 37, 0, 72, 73 ] , [ 37, 18, 36, 37 ] , [ 41, 30, 30, 11 ] , [ 46, 75, 75, 1 ] , [ 61, 30, 30, 31 ] , [ 71, 0, 0, 71 ] , [ 79, 46, 22, 47 ] 180 1 60 0 0 [ 1, 60, 30, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 22, 63, 81, 7 ] , [ 31, 45, 45, 16 ] , [ 37, 78, 6, 37 ] , [ 61, 60, 0, 31 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ] , [ 83, 32, 14, 13 ] 180 1 90 0 0 [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 70, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 77 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ] 180 2 45 0 0 [ 1, 18, 36, 19 ] , [ 1, 20, 20, 41 ] , [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ] 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 37, 72, 72, 55 ] , [ 61, 0, 60, 31 ] , [ 61, 60, 30, 31 ] , [ 77, 48, 0, 83 ] , [ 79, 30, 0, 49 ] , [ 81, 70, 50, 1 ] , [ 81, 80, 10, 71 ] 216 1 72 0 0 [ 7, 87, 12, 85 ] , [ 31, 30, 60, 61 ] , [ 41, 40, 20, 81 ] , [ 41, 60, 30, 11 ] , [ 61, 0, 60, 31 ] , [ 73, 54, 54, 19 ] , [ 77, 48, 0, 83 ] , [ 79, 30, 0, 49 ] 216 1 108 0 0 [ 1, 45, 45, 46 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 30, 30, 61 ] , [ 35, 26, 74, 55 ] , [ 55, 18, 18, 37 ] , [ 55, 36, 9, 55 ] 216 1 108 0 0 [ 1, 18, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 46, 45, 45, 1 ] , [ 51, 80, 10, 81 ] , [ 61, 0, 0, 31 ] , [ 61, 60, 30, 31 ] , [ 71, 0, 0, 71 ] 216 2 54 8 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 41, 70, 70, 1 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] , [ 89, 57, 24, 71 ] 216 2 54 8 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 49, 82, 64, 41 ] , [ 51, 65, 40, 81 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] 216 2 54 8 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 55, 10, 41 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] 216 2 54 8 0 [ 1, 60, 30, 1 ] , [ 19, 36, 36, 73 ] , [ 41, 30, 30, 11 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 30, 79 ] , [ 61, 60, 0, 31 ] , [ 61, 80, 35, 71 ] , [ 79, 72, 24, 31 ] 216 2 108 8 0 [ 9, 22, 74, 81 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 79, 22, 49, 41 ] 216 2 108 8 0 [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 61, 40, 85, 41 ] Name Index con len c2 c3 SL(2,Z/92Z) Matrix Generators 192 1 96 0 0 [ 17, 28, 4, 77 ] , [ 45, 0, 0, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 69, 23, 24 ] , [ 69, 72, 84, 73 ] Name Index con len c2 c3 SL(2,Z/93Z) Matrix Generators 192 1 96 0 0 [ 32, 0, 0, 32 ] , [ 32, 62, 62, 1 ] , [ 43, 36, 12, 49 ] , [ 55, 63, 21, 19 ] , [ 61, 0, 0, 61 ] , [ 91, 51, 60, 4 ] Name Index con len c2 c3 SL(2,Z/95Z) Matrix Generators 200 1 200 0 2 [ 7, 51, 65, 53 ] , [ 31, 20, 50, 66 ] , [ 39, 0, 0, 39 ] , [ 41, 10, 50, 91 ] , [ 41, 50, 60, 6 ] , [ 70, 77, 62, 56 ] , [ 94, 0, 0, 94 ] Name Index con len c2 c3 SL(2,Z/96Z) Matrix Generators 192 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 64, 27, 45, 40 ] , [ 65, 0, 80, 65 ] , [ 73, 72, 72, 25 ] , [ 82, 39, 93, 22 ] , [ 85, 84, 84, 13 ] 192 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 64, 27, 45, 40 ] , [ 65, 0, 80, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] 192 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 76 ] , [ 10, 39, 45, 22 ] , [ 25, 24, 24, 73 ] , [ 31, 48, 48, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 69, 58 ] 192 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 4, 27, 93, 76 ] , [ 25, 24, 24, 73 ] , [ 31, 48, 48, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 69, 58 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 18, 50, 37 ] , [ 1, 48, 48, 1 ] , [ 13, 60, 12, 85 ] , [ 25, 24, 24, 73 ] , [ 41, 30, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 68, 3, 53, 32 ] , [ 73, 78, 86, 13 ] , [ 79, 12, 20, 31 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 3, 53, 64 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 41, 78, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 79, 12, 20, 31 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] , [ 86, 63, 53, 50 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 20, 27, 29, 68 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 10, 87, 93, 22 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 41, 78, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 65, 0, 32, 65 ] , [ 79, 12, 20, 31 ] 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 27, 41, 34 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 65, 0, 32, 65 ] , [ 79, 12, 20, 31 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 16, 65, 9 ] , [ 25, 0, 72, 73 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 81, 16, 32, 81 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 64, 17, 57 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] 288 1 18 32 0 [ 0, 1, 95, 0 ] , [ 1, 32, 80, 65 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 80, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 56, 46, 9 ] , [ 9, 56, 49, 81 ] , [ 41, 48, 90, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 0, 72, 49 ] , [ 49, 0, 84, 49 ] , [ 73, 0, 24, 25 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] 288 1 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 33, 2, 31, 63 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 47, 82, 31, 1 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ] , [ 93, 74, 79, 3 ] 288 1 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 33, 2, 31, 63 ] , [ 33, 32, 64, 33 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ] , [ 93, 74, 79, 3 ] 288 1 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 21, 92, 70, 69 ] , [ 25, 0, 24, 73 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 53, 60, 6, 5 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 92, 14, 5 ] 288 1 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 4, 46, 89 ] , [ 1, 32, 8, 65 ] , [ 1, 48, 72, 1 ] , [ 39, 34, 95, 9 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ] 288 1 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 7, 34, 31, 41 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ] 288 2 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 41, 72, 60, 89 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 72, 84, 65 ] , [ 71, 22, 13, 73 ] , [ 83, 46, 61, 13 ] , [ 95, 0, 0, 95 ] , [ 95, 2, 23, 49 ] , [ 95, 34, 31, 1 ] 288 2 36 32 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 72, 1 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 55, 70, 37, 89 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] Name Index con len c2 c3 SL(2,Z/98Z) Matrix Generators 336 1 112 0 6 [ 13, 13, 43, 28 ] , [ 19, 7, 85, 52 ] , [ 57, 70, 0, 43 ] , [ 85, 28, 42, 15 ] , [ 97, 46, 34, 3 ] Name Index con len c2 c3 SL(2,Z/99Z) Matrix Generators 198 2 99 6 0 [ 1, 66, 33, 1 ] , [ 23, 66, 0, 56 ] , [ 34, 0, 66, 67 ] , [ 56, 44, 11, 67 ] , [ 61, 58, 19, 83 ] , [ 98, 0, 0, 98 ] , [ 98, 6, 84, 89 ] 198 2 99 6 0 [ 1, 66, 33, 1 ] , [ 12, 77, 88, 45 ] , [ 21, 61, 95, 12 ] , [ 23, 66, 0, 56 ] , [ 34, 0, 66, 67 ] , [ 94, 36, 96, 61 ] , [ 98, 0, 0, 98 ] 216 1 216 0 0 [ 1, 0, 33, 1 ] , [ 23, 33, 33, 56 ] , [ 28, 18, 9, 73 ] , [ 34, 33, 0, 67 ] , [ 34, 55, 55, 89 ] , [ 55, 27, 90, 91 ] , [ 98, 0, 0, 98 ] Name Index con len c2 c3 SL(2,Z/100Z) Matrix Generators 240 1 6 0 0 [ 1, 25, 25, 26 ] , [ 1, 50, 50, 1 ] , [ 33, 56, 96, 69 ] , [ 41, 20, 20, 61 ] , [ 51, 50, 0, 51 ] , [ 69, 0, 70, 29 ] , [ 81, 0, 80, 21 ] 240 1 24 0 0 [ 13, 16, 16, 89 ] , [ 51, 0, 0, 51 ] , [ 51, 50, 75, 1 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 79, 80, 0, 19 ] 240 1 120 0 0 [ 1, 84, 32, 89 ] , [ 13, 16, 16, 89 ] , [ 51, 0, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 79, 80, 0, 19 ] 360 2 90 4 0 [ 25, 2, 12, 77 ] , [ 49, 24, 4, 53 ] , [ 51, 0, 50, 51 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 69, 76, 33, 61 ] , [ 69, 80, 90, 29 ] , [ 93, 36, 76, 9 ] Name Index con len c2 c3 SL(2,Z/102Z) Matrix Generators 216 1 54 8 0 [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 34, 85, 35 ] , [ 10, 51, 21, 46 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 54, 25 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 18, 13 ] , [ 67, 0, 0, 67 ] 216 1 54 8 0 [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 10, 51, 21, 97 ] , [ 10, 85, 55, 80 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 54, 25 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 18, 13 ] , [ 67, 0, 0, 67 ] Γ0(102) 216 1 216 0 0 [ 1, 0, 51, 1 ] , [ 1, 0, 66, 1 ] , [ 1, 68, 0, 1 ] , [ 35, 68, 51, 35 ] , [ 49, 34, 42, 25 ] , [ 55, 68, 48, 13 ] , [ 67, 34, 0, 67 ] , [ 95, 34, 90, 29 ] 216 2 54 8 0 [ 1, 0, 72, 1 ] , [ 13, 0, 78, 55 ] , [ 35, 0, 0, 35 ] , [ 39, 34, 62, 75 ] , [ 52, 51, 51, 1 ] , [ 59, 0, 30, 83 ] , [ 67, 0, 0, 67 ] , [ 73, 34, 79, 41 ] Name Index con len c2 c3 SL(2,Z/104Z) Matrix Generators 224 1 56 0 8 [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 7, 72, 4, 71 ] , [ 25, 0, 0, 25 ] , [ 33, 72, 4, 97 ] , [ 53, 52, 0, 53 ] , [ 57, 40, 88, 49 ] , [ 57, 72, 16, 33 ] 224 1 56 0 8 [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 25, 0, 0, 25 ] , [ 33, 72, 56, 97 ] , [ 53, 52, 0, 53 ] , [ 57, 40, 88, 49 ] , [ 57, 72, 16, 33 ] , [ 79, 0, 0, 79 ] 224 1 224 8 2 [ 9, 88, 88, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 88, 57 ] , [ 53, 0, 0, 53 ] , [ 53, 13, 13, 66 ] , [ 65, 16, 56, 41 ] , [ 79, 0, 0, 79 ] , [ 79, 78, 65, 1 ] 224 2 56 0 8 [ 9, 8, 0, 81 ] , [ 17, 96, 0, 49 ] , [ 33, 8, 80, 73 ] , [ 53, 0, 52, 53 ] , [ 53, 13, 13, 66 ] , [ 53, 52, 0, 53 ] , [ 53, 78, 91, 79 ] , [ 79, 52, 52, 79 ] Name Index con len c2 c3 SL(2,Z/105Z) Matrix Generators 210 2 70 6 3 [ 36, 35, 70, 36 ] , [ 41, 48, 99, 98 ] , [ 61, 75, 90, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 71, 63, 49, 8 ] , [ 76, 0, 0, 76 ] , [ 85, 21, 84, 85 ] , [ 85, 63, 63, 85 ] , [ 91, 45, 30, 91 ] 210 2 70 6 3 [ 13, 27, 36, 91 ] , [ 36, 35, 70, 36 ] , [ 43, 42, 56, 1 ] , [ 61, 75, 90, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 76, 0, 0, 76 ] , [ 85, 21, 84, 85 ] , [ 85, 63, 63, 85 ] , [ 91, 45, 30, 91 ] 210 2 105 10 0 [ 16, 30, 15, 61 ] , [ 36, 70, 35, 36 ] , [ 43, 42, 21, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 80, 95, 71 ] , [ 76, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ] 252 2 126 20 0 [ 1, 0, 63, 1 ] , [ 13, 10, 4, 92 ] , [ 36, 80, 40, 51 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ] Name Index con len c2 c3 SL(2,Z/108Z) Matrix Generators 216 1 36 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 54, 27, 55 ] , [ 13, 0, 0, 25 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 60, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 0, 35 ] , [ 85, 36, 52, 97 ] Name Index con len c2 c3 SL(2,Z/110Z) Matrix Generators Γ0(110) 216 1 216 0 0 [ 1, 0, 55, 1 ] , [ 1, 44, 0, 1 ] , [ 21, 0, 0, 21 ] , [ 21, 10, 20, 41 ] , [ 67, 0, 0, 23 ] , [ 89, 0, 0, 89 ] , [ 101, 80, 40, 11 ] Name Index con len c2 c3 SL(2,Z/112Z) Matrix Generators 192 1 24 0 0 [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 98, 77, 85 ] , [ 17, 32, 28, 33 ] , [ 55, 28, 70, 111 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] 192 1 24 0 0 [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 17, 32, 28, 33 ] , [ 55, 28, 70, 111 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] , [ 111, 98, 77, 69 ] 192 1 24 0 0 [ 1, 0, 56, 1 ] , [ 5, 36, 18, 85 ] , [ 17, 80, 64, 97 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 99, 14, 77, 29 ] , [ 111, 104, 92, 63 ] 192 1 24 0 0 [ 1, 0, 56, 1 ] , [ 5, 36, 18, 85 ] , [ 17, 80, 64, 97 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 103, 106, 39, 1 ] , [ 111, 104, 92, 63 ] 192 1 48 0 0 [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 17, 32, 28, 33 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 71, 28, 70, 15 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] , [ 111, 98, 77, 69 ] 192 1 48 0 0 [ 1, 0, 56, 1 ] , [ 17, 80, 64, 97 ] , [ 29, 0, 28, 85 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 71, 70, 105, 1 ] , [ 89, 36, 74, 1 ] , [ 111, 104, 92, 63 ] 192 1 96 0 0 [ 1, 0, 56, 1 ] , [ 17, 80, 64, 97 ] , [ 29, 0, 0, 85 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 103, 106, 39, 1 ] , [ 111, 104, 92, 63 ] 192 1 96 0 0 [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 0, 56, 15 ] , [ 39, 108, 42, 79 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 85, 98, 105, 71 ] , [ 97, 0, 0, 97 ] , [ 99, 56, 84, 43 ] 224 2 56 4 8 [ 1, 56, 56, 1 ] , [ 1, 84, 28, 1 ] , [ 15, 35, 14, 85 ] , [ 17, 80, 48, 81 ] , [ 43, 28, 56, 99 ] , [ 49, 80, 16, 97 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 78, 21, 105, 1 ] , [ 85, 28, 0, 29 ] , [ 97, 0, 0, 97 ] 224 2 56 4 8 [ 1, 56, 56, 1 ] , [ 1, 84, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 49, 80, 16, 97 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 85, 28, 0, 29 ] , [ 97, 0, 0, 97 ] , [ 105, 45, 86, 55 ] , [ 106, 105, 105, 85 ] 256 1 32 0 16 [ 1, 35, 63, 78 ] , [ 1, 56, 56, 1 ] , [ 33, 48, 16, 81 ] , [ 49, 32, 96, 97 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 56, 97 ] , [ 99, 0, 84, 43 ] 256 1 32 0 16 [ 1, 35, 63, 78 ] , [ 1, 56, 56, 1 ] , [ 33, 48, 16, 81 ] , [ 49, 32, 96, 97 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ] , [ 99, 0, 28, 43 ] Name Index con len c2 c3 SL(2,Z/120Z) Matrix Generators 180 1 15 0 0 [ 1, 0, 60, 1 ] , [ 1, 30, 75, 91 ] , [ 1, 48, 96, 49 ] , [ 9, 20, 70, 9 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 110, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 90, 45, 31 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ] 180 2 15 0 0 [ 1, 0, 60, 1 ] , [ 1, 30, 75, 91 ] , [ 1, 80, 80, 41 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 30, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 80, 40, 81 ] , [ 91, 0, 60, 91 ] , [ 97, 48, 56, 97 ] 192 2 96 0 0 [ 13, 50, 67, 27 ] , [ 25, 48, 48, 97 ] , [ 31, 60, 60, 31 ] , [ 43, 90, 57, 97 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 12, 97 ] , [ 76, 15, 45, 91 ] , [ 81, 80, 40, 41 ] 192 2 96 0 0 [ 25, 48, 48, 97 ] , [ 31, 60, 60, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 20, 40, 21 ] , [ 61, 50, 55, 51 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 72, 97 ] , [ 76, 15, 45, 91 ] , [ 81, 80, 40, 41 ] 216 1 36 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 20, 65, 91 ] , [ 73, 60, 72, 97 ] , [ 81, 80, 40, 81 ] 216 1 36 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 20, 65, 91 ] , [ 73, 0, 72, 97 ] , [ 81, 80, 40, 81 ] 216 1 54 8 0 [ 1, 0, 60, 1 ] , [ 1, 60, 30, 1 ] , [ 1, 100, 100, 41 ] , [ 31, 90, 45, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 112, 40, 17 ] , [ 91, 0, 60, 91 ] 216 1 54 8 0 [ 1, 0, 60, 1 ] , [ 1, 40, 40, 41 ] , [ 1, 60, 30, 1 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ] 216 1 108 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 80, 65, 31 ] , [ 73, 60, 72, 97 ] , [ 81, 80, 40, 81 ] 216 1 108 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 80, 65, 31 ] , [ 73, 0, 72, 97 ] , [ 81, 80, 40, 81 ] 288 1 72 0 0 [ 1, 24, 24, 97 ] , [ 25, 48, 48, 97 ] , [ 25, 48, 108, 97 ] , [ 49, 96, 96, 73 ] , [ 57, 76, 86, 1 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 87, 112, 2, 55 ] , [ 93, 112, 95, 37 ] , [ 97, 72, 72, 25 ] , [ 97, 96, 66, 1 ] , [ 105, 52, 77, 13 ] , [ 113, 64, 104, 9 ] 288 1 72 0 0 [ 1, 24, 24, 97 ] , [ 1, 96, 33, 49 ] , [ 25, 24, 96, 25 ] , [ 25, 48, 48, 97 ] , [ 25, 48, 108, 97 ] , [ 49, 96, 96, 73 ] , [ 57, 28, 5, 13 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 91, 108, 111, 79 ] , [ 97, 72, 72, 25 ] , [ 97, 96, 66, 1 ] , [ 113, 64, 104, 9 ] 288 2 72 0 0 [ 1, 0, 60, 1 ] , [ 13, 108, 108, 85 ] , [ 25, 48, 48, 97 ] , [ 49, 96, 96, 73 ] , [ 61, 78, 111, 79 ] , [ 65, 88, 8, 57 ] , [ 71, 78, 6, 59 ] , [ 85, 6, 84, 85 ] , [ 91, 60, 30, 91 ] , [ 97, 72, 72, 25 ] , [ 97, 72, 102, 25 ] , [ 103, 84, 54, 79 ] Name Index con len c2 c3 SL(2,Z/124Z) Matrix Generators 192 1 96 0 0 [ 1, 0, 62, 1 ] , [ 13, 112, 116, 17 ] , [ 25, 88, 16, 101 ] , [ 41, 28, 4, 33 ] , [ 61, 0, 0, 61 ] , [ 63, 0, 62, 63 ] , [ 63, 62, 93, 1 ] Name Index con len c2 c3 SL(2,Z/126Z) Matrix Generators 192 1 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 21, 64 ] , [ 29, 63, 42, 113 ] , [ 43, 42, 98, 43 ] , [ 49, 72, 66, 79 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 73, 108, 36, 55 ] , [ 125, 0, 84, 125 ] 192 1 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 21, 64 ] , [ 29, 63, 105, 50 ] , [ 43, 42, 98, 43 ] , [ 49, 72, 66, 79 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 73, 108, 36, 55 ] , [ 125, 0, 84, 125 ] 192 1 64 0 0 [ 1, 0, 84, 1 ] , [ 1, 90, 108, 19 ] , [ 29, 63, 91, 50 ] , [ 37, 54, 18, 91 ] , [ 43, 0, 42, 85 ] , [ 73, 18, 0, 19 ] , [ 85, 84, 14, 85 ] , [ 85, 105, 63, 106 ] 192 2 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 63, 64 ] , [ 22, 21, 35, 85 ] , [ 55, 18, 90, 73 ] , [ 82, 9, 3, 28 ] , [ 85, 0, 0, 43 ] , [ 124, 99, 53, 85 ] , [ 125, 63, 63, 62 ] 192 2 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 63, 64 ] , [ 8, 63, 21, 71 ] , [ 22, 21, 35, 85 ] , [ 55, 18, 90, 73 ] , [ 85, 0, 0, 43 ] , [ 118, 63, 21, 55 ] , [ 124, 99, 53, 85 ] 252 2 21 24 0 [ 1, 18, 108, 55 ] , [ 1, 42, 42, 1 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 120, 75, 1 ] , [ 64, 63, 63, 1 ] , [ 69, 64, 89, 57 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ] Name Index con len c2 c3 SL(2,Z/128Z) Matrix Generators 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 9, 120, 72, 121 ] , [ 17, 112, 16, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 78 ] , [ 31, 46, 74, 19 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 122, 73, 31, 92 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 9, 120, 72, 121 ] , [ 17, 112, 16, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 14 ] , [ 31, 46, 74, 19 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 85, 18, 78, 9 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 17, 112, 16, 113 ] , [ 23, 122, 54, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 46 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 73, 120, 72, 57 ] , [ 77, 52, 44, 53 ] , [ 86, 27, 117, 68 ] , [ 127, 0, 0, 127 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 17, 112, 16, 113 ] , [ 23, 122, 54, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 46 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 47, 14, 10, 3 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 73, 120, 72, 57 ] , [ 77, 52, 44, 53 ] , [ 127, 0, 0, 127 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 9, 88, 40, 121 ] , [ 16, 19, 5, 70 ] , [ 17, 48, 80, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 104, 88, 105 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 78 ] , [ 33, 96, 32, 97 ] , [ 63, 110, 106, 51 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 109, 60, 52, 85 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 9, 88, 40, 121 ] , [ 17, 48, 80, 113 ] , [ 19, 4, 12, 43 ] , [ 23, 26, 22, 75 ] , [ 25, 104, 88, 105 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 14 ] , [ 33, 96, 32, 97 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 85, 118, 2, 57 ] , [ 109, 60, 52, 85 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 16, 77, 27, 122 ] , [ 23, 122, 54, 75 ] , [ 25, 104, 88, 105 ] , [ 65, 64, 64, 65 ] , [ 77, 52, 44, 53 ] , [ 85, 124, 68, 45 ] , [ 97, 32, 96, 33 ] , [ 113, 36, 116, 97 ] , [ 113, 80, 48, 17 ] , [ 121, 104, 24, 9 ] , [ 123, 30, 2, 39 ] , [ 127, 0, 0, 127 ] 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 16, 77, 27, 58 ] , [ 23, 122, 54, 75 ] , [ 25, 104, 88, 105 ] , [ 65, 64, 64, 65 ] , [ 77, 52, 44, 53 ] , [ 85, 124, 68, 45 ] , [ 92, 37, 123, 94 ] , [ 97, 32, 96, 33 ] , [ 113, 80, 48, 17 ] , [ 121, 104, 24, 9 ] , [ 123, 30, 2, 39 ] , [ 127, 0, 0, 127 ] Name Index con len c2 c3 SL(2,Z/132Z) Matrix Generators 192 1 48 0 0 [ 1, 120, 108, 25 ] , [ 49, 96, 96, 13 ] , [ 67, 0, 66, 67 ] , [ 67, 22, 0, 67 ] , [ 67, 66, 0, 67 ] , [ 89, 22, 0, 89 ] , [ 100, 99, 33, 67 ] , [ 121, 36, 84, 13 ] 192 1 48 0 0 [ 1, 120, 42, 25 ] , [ 49, 96, 96, 13 ] , [ 67, 0, 66, 67 ] , [ 67, 22, 0, 67 ] , [ 67, 66, 0, 67 ] , [ 89, 10, 108, 113 ] , [ 100, 99, 33, 67 ] , [ 121, 36, 84, 13 ] 192 1 192 0 0 [ 1, 66, 33, 67 ] , [ 1, 72, 120, 61 ] , [ 1, 88, 0, 1 ] , [ 1, 99, 99, 34 ] , [ 67, 0, 0, 67 ] , [ 101, 52, 48, 77 ] , [ 121, 36, 84, 13 ] , [ 131, 0, 0, 131 ] 198 2 99 6 0 [ 1, 66, 66, 1 ] , [ 50, 81, 39, 50 ] , [ 64, 85, 31, 2 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 88, 1 ] , [ 89, 44, 110, 1 ] , [ 100, 33, 99, 100 ] , [ 109, 0, 0, 109 ] Name Index con len c2 c3 SL(2,Z/135Z) Matrix Generators 180 1 60 0 0 [ 13, 39, 18, 106 ] , [ 28, 0, 0, 82 ] , [ 31, 105, 75, 106 ] , [ 46, 96, 42, 73 ] , [ 51, 125, 85, 121 ] , [ 55, 81, 54, 55 ] , [ 91, 0, 45, 46 ] , [ 91, 45, 90, 46 ] , [ 109, 0, 0, 109 ] , [ 116, 11, 112, 63 ] 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 1, 0, 60, 1 ] , [ 41, 0, 35, 56 ] , [ 46, 45, 40, 1 ] , [ 55, 27, 27, 82 ] , [ 76, 0, 130, 16 ] , [ 86, 72, 54, 119 ] , [ 91, 0, 15, 46 ] , [ 91, 0, 90, 46 ] , [ 124, 45, 105, 49 ] Name Index con len c2 c3 SL(2,Z/136Z) Matrix Generators 216 1 54 8 0 [ 1, 0, 68, 1 ] , [ 31, 78, 15, 29 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 105, 44, 38, 25 ] , [ 119, 8, 104, 23 ] , [ 121, 48, 90, 129 ] 216 1 54 8 0 [ 1, 0, 68, 1 ] , [ 27, 46, 37, 53 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 105, 44, 38, 25 ] , [ 113, 24, 16, 1 ] , [ 119, 8, 104, 23 ] 216 1 108 0 0 [ 17, 8, 104, 57 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 12, 1 ] , [ 33, 48, 80, 1 ] , [ 61, 52, 98, 117 ] , [ 65, 64, 126, 9 ] , [ 67, 84, 7, 23 ] , [ 69, 0, 68, 69 ] , [ 73, 16, 16, 65 ] , [ 89, 0, 117, 81 ] , [ 93, 96, 28, 45 ] Γ0(136) 216 1 108 0 0 [ 17, 8, 104, 57 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 12, 1 ] , [ 33, 48, 80, 1 ] , [ 65, 64, 126, 9 ] , [ 67, 84, 7, 23 ] , [ 69, 0, 68, 69 ] , [ 73, 16, 16, 65 ] , [ 85, 52, 67, 17 ] , [ 89, 96, 40, 89 ] , [ 93, 96, 28, 45 ] 216 1 108 4 0 [ 1, 0, 68, 1 ] , [ 1, 80, 74, 73 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 119, 8, 104, 23 ] , [ 131, 78, 61, 109 ] , [ 135, 122, 25, 77 ] 216 1 108 4 0 [ 1, 0, 68, 1 ] , [ 1, 80, 74, 73 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 113, 24, 16, 1 ] , [ 119, 8, 104, 23 ] , [ 135, 122, 25, 77 ] 216 2 54 8 0 [ 1, 0, 68, 1 ] , [ 33, 0, 0, 33 ] , [ 35, 68, 34, 35 ] , [ 57, 40, 8, 113 ] , [ 65, 120, 120, 73 ] , [ 69, 0, 0, 69 ] , [ 81, 84, 112, 49 ] , [ 89, 10, 36, 1 ] , [ 89, 112, 53, 1 ] , [ 121, 16, 10, 89 ] Name Index con len c2 c3 SL(2,Z/138Z) Matrix Generators 192 1 96 0 0 [ 1, 0, 92, 1 ] , [ 1, 69, 69, 70 ] , [ 47, 0, 115, 47 ] , [ 97, 108, 114, 43 ] , [ 133, 54, 108, 103 ] , [ 137, 0, 0, 137 ] 192 1 96 0 0 [ 1, 0, 92, 1 ] , [ 1, 69, 69, 70 ] , [ 47, 0, 46, 47 ] , [ 97, 108, 114, 43 ] , [ 133, 54, 108, 103 ] , [ 137, 0, 0, 137 ] Name Index con len c2 c3 SL(2,Z/140Z) Matrix Generators 192 1 48 0 0 [ 21, 100, 80, 41 ] , [ 25, 76, 104, 25 ] , [ 29, 0, 0, 29 ] , [ 41, 20, 10, 121 ] , [ 61, 80, 60, 81 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 113, 84, 84, 29 ] 192 1 48 0 0 [ 21, 100, 80, 41 ] , [ 25, 96, 84, 65 ] , [ 29, 0, 0, 29 ] , [ 41, 20, 10, 121 ] , [ 61, 80, 60, 81 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 113, 84, 84, 29 ] 192 1 192 0 0 [ 29, 56, 56, 113 ] , [ 41, 100, 40, 101 ] , [ 43, 42, 105, 57 ] , [ 45, 48, 48, 17 ] , [ 69, 116, 36, 93 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 105, 1 ] , [ 71, 105, 35, 36 ] , [ 99, 0, 0, 99 ] 192 2 48 0 0 [ 17, 72, 112, 5 ] , [ 33, 92, 125, 77 ] , [ 41, 100, 40, 101 ] , [ 57, 112, 112, 85 ] , [ 69, 96, 116, 133 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 97, 136, 86, 21 ] Name Index con len c2 c3 SL(2,Z/141Z) Matrix Generators Γ0(141) 192 1 192 0 0 [ 40, 45, 60, 64 ] , [ 46, 47, 94, 93 ] , [ 48, 47, 94, 95 ] , [ 95, 0, 0, 95 ] , [ 109, 42, 105, 34 ] Name Index con len c2 c3 SL(2,Z/144Z) Matrix Generators 192 2 32 0 0 [ 1, 36, 108, 1 ] , [ 1, 72, 72, 1 ] , [ 1, 81, 45, 46 ] , [ 1, 96, 0, 1 ] , [ 1, 112, 0, 1 ] , [ 37, 90, 63, 91 ] , [ 37, 108, 72, 109 ] , [ 73, 72, 0, 73 ] , [ 97, 0, 0, 49 ] , [ 127, 0, 0, 127 ] , [ 137, 0, 72, 41 ] 216 1 108 10 0 [ 1, 72, 72, 1 ] , [ 10, 9, 99, 46 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] , [ 137, 50, 134, 133 ] 216 1 108 10 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 10, 9, 99, 118 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 64, 45, 27, 100 ] , [ 73, 0, 0, 73 ] , [ 74, 41, 35, 70 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] 216 2 108 10 0 [ 1, 72, 72, 1 ] , [ 10, 9, 99, 118 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 64, 45, 27, 100 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 90, 17, 91, 54 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] 288 1 48 0 0 [ 1, 32, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 90, 0, 1 ] , [ 37, 72, 72, 109 ] , [ 73, 0, 0, 73 ] , [ 73, 9, 90, 19 ] , [ 73, 72, 0, 73 ] , [ 89, 84, 0, 89 ] , [ 91, 108, 72, 19 ] , [ 97, 48, 0, 49 ] Name Index con len c2 c3 SL(2,Z/150Z) Matrix Generators 180 1 30 0 0 [ 1, 75, 75, 76 ] , [ 31, 90, 90, 121 ] , [ 67, 78, 78, 55 ] , [ 73, 58, 130, 17 ] , [ 91, 0, 90, 61 ] , [ 101, 110, 140, 1 ] , [ 119, 120, 0, 29 ] , [ 131, 90, 90, 71 ] , [ 131, 130, 100, 121 ] 180 1 30 0 0 [ 1, 75, 75, 76 ] , [ 19, 126, 108, 61 ] , [ 41, 4, 22, 79 ] , [ 43, 6, 126, 49 ] , [ 61, 30, 30, 91 ] , [ 91, 90, 0, 61 ] , [ 131, 62, 14, 49 ] , [ 139, 60, 30, 109 ] , [ 149, 144, 24, 143 ] 180 1 30 0 0 [ 1, 75, 75, 76 ] , [ 19, 138, 96, 121 ] , [ 31, 0, 30, 121 ] , [ 31, 90, 90, 121 ] , [ 61, 100, 10, 41 ] , [ 97, 18, 48, 145 ] , [ 101, 0, 0, 101 ] , [ 109, 120, 90, 139 ] , [ 121, 50, 20, 131 ] 180 1 30 0 0 [ 1, 26, 26, 77 ] , [ 1, 75, 75, 76 ] , [ 19, 118, 106, 11 ] , [ 25, 102, 12, 7 ] , [ 49, 60, 90, 49 ] , [ 91, 90, 0, 61 ] , [ 95, 12, 72, 137 ] , [ 121, 60, 60, 31 ] , [ 145, 114, 66, 145 ] 180 1 60 0 0 [ 1, 75, 25, 76 ] , [ 31, 0, 30, 121 ] , [ 49, 120, 30, 49 ] , [ 51, 50, 100, 51 ] , [ 85, 12, 12, 37 ] , [ 85, 18, 78, 43 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 121, 60, 60, 31 ] , [ 133, 108, 30, 127 ] 180 1 60 0 0 [ 1, 50, 50, 101 ] , [ 31, 6, 6, 127 ] , [ 31, 30, 0, 121 ] , [ 51, 100, 50, 51 ] , [ 61, 132, 84, 49 ] , [ 76, 25, 125, 51 ] , [ 79, 84, 114, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 0, 101 ] , [ 139, 60, 30, 109 ] 180 1 60 0 0 [ 7, 60, 12, 103 ] , [ 31, 0, 30, 121 ] , [ 43, 72, 102, 115 ] , [ 49, 24, 114, 13 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 25, 1 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] 180 1 60 0 0 [ 1, 75, 25, 76 ] , [ 1, 100, 100, 101 ] , [ 37, 30, 42, 103 ] , [ 61, 30, 30, 91 ] , [ 61, 60, 0, 91 ] , [ 79, 0, 30, 19 ] , [ 101, 0, 0, 101 ] , [ 101, 100, 100, 1 ] , [ 133, 66, 96, 139 ] 240 1 120 0 0 [ 1, 0, 100, 1 ] , [ 1, 42, 9, 79 ] , [ 31, 30, 0, 121 ] , [ 76, 75, 75, 1 ] , [ 79, 144, 114, 73 ] , [ 85, 48, 48, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 50, 101 ] 240 1 120 0 0 [ 1, 0, 100, 1 ] , [ 1, 42, 34, 79 ] , [ 31, 30, 0, 121 ] , [ 76, 75, 75, 1 ] , [ 79, 144, 114, 73 ] , [ 85, 48, 48, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 50, 101 ] Name Index con len c2 c3 SL(2,Z/153Z) Matrix Generators Γ0(153) 216 1 72 0 0 [ 1, 0, 117, 1 ] , [ 1, 17, 0, 1 ] , [ 44, 85, 90, 80 ] , [ 55, 119, 99, 64 ] , [ 100, 136, 144, 127 ] , [ 103, 0, 0, 52 ] , [ 103, 51, 0, 52 ] , [ 118, 85, 0, 118 ] , [ 137, 119, 0, 86 ] Name Index con len c2 c3 SL(2,Z/154Z) Matrix Generators 192 1 96 0 0 [ 1, 66, 132, 89 ] , [ 15, 14, 112, 43 ] , [ 45, 110, 44, 111 ] , [ 78, 77, 77, 1 ] , [ 85, 56, 28, 71 ] , [ 111, 88, 99, 23 ] , [ 153, 0, 0, 153 ] 192 1 96 0 0 [ 1, 66, 132, 89 ] , [ 15, 14, 112, 43 ] , [ 45, 110, 44, 111 ] , [ 78, 77, 77, 1 ] , [ 85, 56, 28, 71 ] , [ 111, 88, 22, 23 ] , [ 153, 0, 0, 153 ] Name Index con len c2 c3 SL(2,Z/155Z) Matrix Generators Γ0(155) 192 1 192 0 0 [ 16, 145, 80, 76 ] , [ 31, 60, 140, 136 ] , [ 32, 124, 31, 125 ] , [ 46, 50, 130, 111 ] , [ 61, 0, 0, 61 ] , [ 94, 0, 0, 94 ] , [ 125, 93, 93, 125 ] Name Index con len c2 c3 SL(2,Z/156Z) Matrix Generators 224 1 56 0 8 [ 1, 0, 52, 1 ] , [ 1, 78, 78, 1 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 117, 79 ] , [ 79, 0, 78, 79 ] , [ 85, 60, 132, 73 ] , [ 85, 84, 88, 109 ] , [ 97, 114, 8, 85 ] , [ 149, 36, 8, 137 ] 224 1 56 0 8 [ 1, 0, 52, 1 ] , [ 1, 78, 78, 1 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 117, 79 ] , [ 53, 78, 0, 53 ] , [ 79, 0, 78, 79 ] , [ 85, 60, 132, 73 ] , [ 85, 84, 88, 109 ] , [ 97, 36, 60, 85 ] 224 2 56 0 8 [ 1, 0, 104, 1 ] , [ 37, 132, 96, 1 ] , [ 53, 0, 52, 53 ] , [ 77, 66, 37, 131 ] , [ 79, 0, 78, 79 ] , [ 79, 39, 117, 40 ] , [ 79, 78, 0, 79 ] , [ 85, 126, 144, 85 ] , [ 133, 72, 96, 25 ] Name Index con len c2 c3 SL(2,Z/160Z) Matrix Generators 288 1 36 0 0 [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 51, 110, 50, 111 ] , [ 57, 2, 70, 53 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 116, 95, 25, 106 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] 288 1 36 0 0 [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 51, 110, 50, 111 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 97, 32, 0, 33 ] , [ 116, 95, 25, 106 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] 288 2 36 0 0 [ 1, 80, 80, 1 ] , [ 1, 120, 120, 1 ] , [ 10, 63, 113, 8 ] , [ 21, 140, 20, 141 ] , [ 42, 127, 65, 48 ] , [ 51, 82, 94, 79 ] , [ 59, 150, 90, 39 ] , [ 65, 32, 32, 97 ] , [ 81, 0, 0, 81 ] , [ 121, 80, 0, 41 ] , [ 121, 130, 70, 21 ] , [ 129, 0, 80, 129 ] Name Index con len c2 c3 SL(2,Z/161Z) Matrix Generators Γ0(161) 192 1 192 0 0 [ 1, 70, 147, 148 ] , [ 1, 92, 46, 47 ] , [ 50, 154, 21, 113 ] , [ 93, 69, 92, 70 ] , [ 139, 0, 0, 139 ] , [ 160, 0, 0, 160 ] Name Index con len c2 c3 SL(2,Z/165Z) Matrix Generators 180 1 60 0 0 [ 1, 33, 66, 34 ] , [ 1, 55, 55, 56 ] , [ 16, 105, 150, 46 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 76, 60, 30, 91 ] , [ 100, 66, 99, 34 ] , [ 111, 110, 55, 111 ] , [ 131, 110, 110, 76 ] , [ 133, 99, 0, 67 ] 180 2 60 0 0 [ 1, 33, 66, 34 ] , [ 1, 55, 55, 56 ] , [ 16, 105, 150, 46 ] , [ 34, 0, 0, 34 ] , [ 34, 99, 11, 100 ] , [ 56, 0, 0, 56 ] , [ 76, 60, 30, 91 ] , [ 111, 110, 55, 111 ] , [ 131, 110, 110, 76 ] , [ 133, 99, 0, 67 ] Name Index con len c2 c3 SL(2,Z/168Z) Matrix Generators 252 2 21 24 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] 252 2 63 24 0 [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 43, 126, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 72, 144, 97 ] , [ 145, 120, 72, 121 ] , [ 155, 0, 84, 155 ] Name Index con len c2 c3 SL(2,Z/170Z) Matrix Generators 180 1 90 0 0 [ 1, 0, 100, 1 ] , [ 1, 68, 136, 69 ] , [ 1, 85, 85, 86 ] , [ 35, 136, 34, 69 ] , [ 69, 0, 0, 69 ] , [ 81, 0, 30, 21 ] , [ 101, 0, 0, 101 ] , [ 137, 136, 0, 103 ] , [ 141, 0, 135, 41 ] , [ 161, 0, 90, 151 ] 180 1 90 0 0 [ 1, 0, 100, 1 ] , [ 1, 68, 136, 69 ] , [ 1, 85, 85, 86 ] , [ 35, 136, 34, 69 ] , [ 69, 0, 0, 69 ] , [ 81, 0, 30, 21 ] , [ 101, 0, 0, 101 ] , [ 137, 136, 0, 103 ] , [ 141, 0, 50, 41 ] , [ 161, 0, 90, 151 ] 216 1 108 8 0 [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 21, 0, 0, 81 ] , [ 31, 136, 85, 11 ] , [ 69, 136, 0, 69 ] , [ 86, 85, 85, 1 ] , [ 101, 0, 0, 101 ] , [ 121, 136, 0, 111 ] , [ 137, 136, 85, 103 ] 216 1 108 8 0 [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 21, 0, 0, 81 ] , [ 31, 136, 0, 11 ] , [ 69, 136, 0, 69 ] , [ 86, 85, 85, 1 ] , [ 101, 0, 0, 101 ] , [ 121, 136, 0, 111 ] , [ 137, 136, 85, 103 ] Name Index con len c2 c3 SL(2,Z/171Z) Matrix Generators 180 1 180 0 0 [ 1, 27, 117, 82 ] , [ 56, 152, 95, 151 ] , [ 58, 0, 57, 115 ] , [ 77, 57, 57, 20 ] , [ 77, 152, 152, 58 ] , [ 91, 126, 9, 82 ] , [ 115, 114, 0, 58 ] , [ 136, 99, 144, 91 ] , [ 153, 19, 152, 153 ] Name Index con len c2 c3 SL(2,Z/174Z) Matrix Generators 180 1 30 0 0 [ 1, 87, 87, 88 ] , [ 13, 54, 144, 103 ] , [ 55, 54, 12, 151 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 58, 1 ] , [ 115, 0, 0, 115 ] , [ 117, 58, 116, 117 ] , [ 163, 48, 84, 13 ] 180 1 60 0 0 [ 1, 58, 58, 59 ] , [ 1, 116, 116, 59 ] , [ 55, 138, 18, 61 ] , [ 59, 0, 0, 59 ] , [ 88, 87, 29, 1 ] , [ 115, 0, 0, 115 ] , [ 145, 42, 78, 61 ] , [ 145, 120, 36, 31 ] Name Index con len c2 c3 SL(2,Z/175Z) Matrix Generators Γ0(175) 240 1 240 0 0 [ 1, 0, 100, 1 ] , [ 1, 168, 0, 1 ] , [ 26, 0, 100, 101 ] , [ 29, 35, 0, 169 ] , [ 71, 0, 0, 106 ] , [ 106, 140, 0, 71 ] , [ 148, 56, 150, 162 ] , [ 151, 0, 25, 51 ] Name Index con len c2 c3 SL(2,Z/177Z) Matrix Generators 180 1 60 0 0 [ 1, 59, 59, 119 ] , [ 10, 117, 81, 169 ] , [ 46, 162, 78, 40 ] , [ 60, 59, 118, 60 ] , [ 119, 0, 0, 119 ] , [ 176, 0, 0, 176 ] Name Index con len c2 c3 SL(2,Z/178Z) Matrix Generators 180 1 90 0 0 [ 1, 89, 89, 90 ] , [ 29, 160, 4, 151 ] , [ 31, 112, 12, 141 ] , [ 33, 148, 50, 111 ] , [ 39, 132, 11, 19 ] , [ 169, 40, 106, 43 ] 180 1 90 0 0 [ 1, 89, 89, 90 ] , [ 29, 160, 4, 151 ] , [ 31, 112, 12, 141 ] , [ 33, 148, 50, 111 ] , [ 39, 132, 100, 19 ] , [ 169, 40, 106, 43 ] Name Index con len c2 c3 SL(2,Z/179Z) Matrix Generators Γ0(179) 180 1 180 0 0 [ 16, 108, 162, 165 ] , [ 126, 178, 167, 172 ] , [ 178, 0, 0, 178 ] Name Index con len c2 c3 SL(2,Z/180Z) Matrix Generators 240 1 40 0 12 [ 1, 72, 144, 109 ] , [ 1, 160, 0, 1 ] , [ 29, 60, 90, 149 ] , [ 61, 0, 0, 121 ] , [ 73, 36, 0, 37 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 121, 120, 0, 61 ] , [ 145, 144, 36, 109 ] , [ 166, 75, 15, 61 ] 240 2 20 0 12 [ 1, 60, 0, 1 ] , [ 1, 72, 144, 109 ] , [ 1, 140, 0, 1 ] , [ 16, 75, 45, 31 ] , [ 19, 81, 159, 100 ] , [ 37, 0, 108, 73 ] , [ 61, 0, 0, 121 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 104, 21, 39, 65 ] , [ 109, 0, 0, 109 ] Name Index con len c2 c3 SL(2,Z/182Z) Matrix Generators 196 2 98 0 4 [ 19, 4, 46, 163 ] , [ 27, 0, 0, 27 ] , [ 53, 130, 78, 157 ] , [ 92, 91, 91, 1 ] , [ 105, 78, 104, 105 ] , [ 109, 44, 2, 101 ] , [ 157, 26, 26, 53 ] , [ 157, 78, 0, 131 ] , [ 163, 70, 64, 109 ] , [ 181, 0, 0, 181 ] 224 1 112 0 8 [ 1, 0, 78, 1 ] , [ 15, 84, 49, 141 ] , [ 27, 0, 0, 27 ] , [ 71, 98, 70, 71 ] , [ 79, 0, 78, 53 ] , [ 92, 91, 91, 1 ] , [ 155, 0, 0, 155 ] , [ 155, 56, 168, 29 ] 224 1 112 0 8 [ 1, 0, 78, 1 ] , [ 15, 84, 140, 141 ] , [ 27, 0, 0, 27 ] , [ 71, 98, 70, 71 ] , [ 79, 0, 78, 53 ] , [ 92, 91, 91, 1 ] , [ 155, 0, 0, 155 ] , [ 155, 56, 168, 29 ] Name Index con len c2 c3 SL(2,Z/186Z) Matrix Generators 192 2 64 0 3 [ 1, 62, 62, 125 ] , [ 63, 62, 124, 63 ] , [ 63, 124, 62, 63 ] , [ 63, 155, 31, 94 ] , [ 85, 42, 68, 73 ] , [ 103, 90, 66, 157 ] , [ 125, 0, 0, 125 ] , [ 151, 144, 60, 157 ] , [ 181, 102, 120, 7 ] Name Index con len c2 c3 SL(2,Z/187Z) Matrix Generators 198 2 198 6 0 [ 1, 132, 165, 89 ] , [ 23, 33, 88, 45 ] , [ 34, 77, 66, 155 ] , [ 55, 86, 138, 22 ] , [ 67, 0, 0, 67 ] , [ 89, 99, 77, 155 ] , [ 120, 0, 0, 120 ] , [ 160, 111, 1, 169 ] Name Index con len c2 c3 SL(2,Z/193Z) Matrix Generators Γ0(193) 194 1 194 2 2 [ 92, 48, 97, 166 ] , [ 164, 40, 113, 97 ] , [ 185, 84, 130, 10 ] , [ 192, 0, 0, 192 ] Name Index con len c2 c3 SL(2,Z/194Z) Matrix Generators 196 1 98 0 4 [ 1, 97, 97, 98 ] , [ 17, 90, 92, 179 ] , [ 31, 98, 74, 65 ] , [ 47, 82, 151, 119 ] , [ 47, 110, 186, 101 ] , [ 51, 192, 46, 177 ] , [ 129, 98, 74, 163 ] , [ 181, 126, 12, 3 ] 196 1 98 0 4 [ 1, 97, 97, 98 ] , [ 17, 90, 92, 179 ] , [ 31, 98, 74, 65 ] , [ 47, 82, 54, 119 ] , [ 47, 110, 186, 101 ] , [ 51, 192, 46, 177 ] , [ 129, 98, 74, 163 ] , [ 181, 126, 12, 3 ] Name Index con len c2 c3 SL(2,Z/195Z) Matrix Generators 210 2 70 6 3 [ 1, 30, 45, 181 ] , [ 46, 185, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 122, 23, 136, 72 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ] 210 2 70 6 3 [ 1, 30, 45, 181 ] , [ 46, 185, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 92, 143, 91, 27 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ] Name Index con len c2 c3 SL(2,Z/196Z) Matrix Generators 224 1 224 0 2 [ 1, 49, 49, 50 ] , [ 1, 98, 147, 99 ] , [ 99, 0, 0, 99 ] , [ 113, 84, 84, 85 ] , [ 121, 112, 160, 25 ] , [ 141, 0, 140, 57 ] , [ 185, 24, 92, 13 ] , [ 195, 0, 0, 195 ] Name Index con len c2 c3 SL(2,Z/200Z) Matrix Generators 360 2 90 4 0 [ 1, 0, 50, 1 ] , [ 1, 0, 100, 1 ] , [ 1, 0, 125, 1 ] , [ 7, 158, 150, 43 ] , [ 41, 0, 160, 161 ] , [ 101, 0, 100, 101 ] , [ 149, 100, 100, 149 ] , [ 151, 100, 150, 151 ] , [ 153, 144, 184, 49 ] , [ 161, 120, 120, 41 ] Name Index con len c2 c3 SL(2,Z/204Z) Matrix Generators 216 1 72 12 0 [ 1, 102, 51, 103 ] , [ 1, 136, 136, 137 ] , [ 121, 72, 72, 85 ] , [ 127, 48, 84, 43 ] , [ 137, 0, 0, 137 ] , [ 137, 136, 136, 1 ] , [ 145, 12, 24, 85 ] , [ 145, 156, 120, 25 ] , [ 154, 51, 51, 1 ] , [ 157, 144, 48, 109 ] , [ 169, 0, 0, 169 ] Name Index con len c2 c3 SL(2,Z/208Z) Matrix Generators 224 2 112 4 8 [ 1, 104, 104, 1 ] , [ 14, 91, 39, 1 ] , [ 33, 32, 112, 33 ] , [ 49, 112, 128, 161 ] , [ 97, 32, 112, 97 ] , [ 105, 52, 52, 105 ] , [ 105, 104, 0, 105 ] , [ 145, 112, 184, 145 ] , [ 157, 156, 0, 53 ] , [ 183, 0, 104, 183 ] , [ 197, 138, 67, 67 ] 224 2 112 4 8 [ 1, 104, 104, 1 ] , [ 14, 91, 39, 1 ] , [ 33, 32, 112, 33 ] , [ 49, 112, 128, 161 ] , [ 53, 26, 91, 131 ] , [ 97, 32, 112, 97 ] , [ 105, 52, 52, 105 ] , [ 105, 104, 0, 105 ] , [ 145, 112, 80, 145 ] , [ 157, 156, 0, 53 ] , [ 183, 0, 104, 183 ] Name Index con len c2 c3 SL(2,Z/210Z) Matrix Generators 210 2 35 12 0 [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 106, 105, 105, 1 ] , [ 113, 0, 168, 197 ] , [ 127, 126, 0, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 165, 61 ] , [ 190, 147, 147, 169 ] 210 2 105 12 0 [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 35, 1 ] , [ 106, 105, 105, 1 ] , [ 113, 0, 168, 197 ] , [ 127, 126, 0, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 60, 61 ] , [ 190, 147, 147, 169 ] 252 2 42 24 0 [ 1, 150, 60, 181 ] , [ 31, 180, 150, 31 ] , [ 41, 40, 190, 1 ] , [ 51, 50, 100, 201 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 75, 1 ] , [ 187, 90, 54, 163 ] 252 2 126 24 0 [ 1, 150, 60, 181 ] , [ 31, 180, 150, 31 ] , [ 41, 40, 85, 1 ] , [ 51, 50, 205, 201 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 180, 1 ] , [ 187, 90, 54, 163 ] Name Index con len c2 c3 SL(2,Z/240Z) Matrix Generators 240 2 40 6 12 [ 1, 192, 176, 193 ] , [ 31, 0, 0, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 195, 195, 226 ] , [ 81, 160, 80, 81 ] , [ 121, 0, 120, 121 ] , [ 121, 120, 0, 121 ] , [ 145, 48, 48, 145 ] , [ 161, 0, 0, 161 ] , [ 161, 80, 80, 1 ] , [ 176, 105, 135, 56 ] , [ 181, 0, 60, 61 ] , [ 181, 180, 120, 61 ] , [ 193, 0, 0, 97 ] 240 2 40 6 12 [ 1, 192, 176, 193 ] , [ 31, 60, 180, 31 ] , [ 49, 0, 0, 49 ] , [ 81, 160, 80, 81 ] , [ 121, 0, 120, 121 ] , [ 121, 120, 0, 121 ] , [ 145, 48, 48, 145 ] , [ 161, 0, 0, 161 ] , [ 161, 80, 80, 1 ] , [ 176, 105, 135, 116 ] , [ 181, 0, 60, 61 ] , [ 181, 15, 15, 106 ] , [ 181, 180, 120, 61 ] , [ 193, 0, 0, 97 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA