[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 17

Groups of Level: 14 15 16 17 20 21 22 24 28 30 32 33 34 35 36 39 40 42 44 45 48 50 51 52 55 56 57 60 63 64 65 66 68 70 72 74 75 76 78 80 82 84 87 88 90 93 95 96 98 99 100 102 105 106 108 110 111 113 114 116 117 119 120 122 123 126 128 130 132 135 136 138 140 142 144 146 148 152 153 154 156 159 160 165 168 170 171 180 185 187 189 195 196 198 200 201 202 205 209 210 211 212 215 216 218 219 222 234 242 244 260 289

^ Level 14 > 14A17 14B17 ^ Level 15 > Name Index con len c2 c3 SL(2,Z/14Z) Matrix Generators 336 1 1 0 0 [ 1, 7, 7, 8 ] , [ 13, 0, 0, 13 ] 336 1 28 0 0 [ 1, 2, 2, 5 ] , [ 13, 12, 12, 9 ] Name Index con len c2 c3 SL(2,Z/15Z) Matrix Generators 360 1 45 8 0 [ 4, 0, 0, 4 ] , [ 8, 10, 1, 7 ] , [ 11, 0, 0, 11 ] 480 1 4 0 0 [ 1, 0, 10, 1 ] , [ 14, 0, 0, 14 ] Name Index con len c2 c3 SL(2,Z/16Z) Matrix Generators 384 1 3 0 0 [ 1, 8, 8, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 0, 0, 9 ] , [ 15, 8, 8, 15 ] 384 1 6 0 0 [ 3, 12, 12, 11 ] , [ 5, 12, 12, 13 ] , [ 9, 8, 8, 9 ] , [ 11, 4, 4, 3 ] Name Index con len c2 c3 SL(2,Z/17Z) Matrix Generators 306 1 153 2 0 [ 1, 5, 12, 10 ] , [ 10, 4, 13, 7 ] , [ 13, 7, 10, 12 ] , [ 16, 0, 0, 16 ] Name Index con len c2 c3 SL(2,Z/20Z) Matrix Generators 320 1 40 0 8 [ 6, 5, 5, 1 ] , [ 9, 8, 8, 5 ] , [ 19, 0, 0, 19 ] 360 1 45 8 0 [ 1, 0, 10, 1 ] , [ 11, 0, 10, 11 ] , [ 13, 6, 5, 7 ] , [ 19, 0, 0, 19 ] Name Index con len c2 c3 SL(2,Z/21Z) Matrix Generators 336 1 84 0 0 [ 1, 7, 14, 15 ] , [ 1, 18, 3, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 8 ] 336 1 84 16 0 [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 11, 1, 4, 10 ] , [ 20, 0, 0, 20 ] 336 2 168 8 6 [ 4, 18, 7, 16 ] , [ 7, 10, 16, 14 ] , [ 12, 5, 13, 9 ] , [ 17, 1, 4, 4 ] , [ 20, 0, 0, 20 ] Name Index con len c2 c3 SL(2,Z/22Z) Matrix Generators 264 1 66 0 0 [ 1, 11, 11, 12 ] , [ 7, 8, 20, 1 ] , [ 11, 20, 6, 7 ] , [ 21, 19, 9, 4 ] 330 1 110 0 12 [ 3, 6, 2, 19 ] , [ 3, 20, 16, 19 ] , [ 5, 2, 20, 17 ] , [ 16, 19, 3, 5 ] , [ 19, 17, 19, 2 ] , [ 21, 0, 0, 21 ] 330 1 330 12 3 [ 2, 9, 9, 19 ] , [ 3, 1, 12, 19 ] , [ 8, 7, 7, 9 ] , [ 13, 14, 13, 9 ] , [ 19, 13, 13, 2 ] , [ 20, 13, 13, 3 ] , [ 21, 0, 0, 21 ] 330 2 165 6 0 [ 1, 0, 11, 1 ] , [ 11, 10, 12, 11 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 21, 0, 0, 21 ] Name Index con len c2 c3 SL(2,Z/24Z) Matrix Generators 288 1 3 0 0 [ 7, 18, 18, 19 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 12, 17 ] , [ 17, 6, 6, 5 ] , [ 17, 12, 0, 17 ] 288 1 3 0 0 [ 1, 4, 16, 17 ] , [ 1, 12, 0, 1 ] , [ 9, 8, 16, 9 ] , [ 15, 8, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] 288 1 3 0 0 [ 1, 12, 12, 1 ] , [ 7, 18, 18, 19 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 6, 5 ] , [ 17, 12, 12, 17 ] 288 1 6 0 0 [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 6, 9, 13 ] 288 1 6 0 0 [ 7, 0, 0, 7 ] , [ 7, 18, 21, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] 288 1 9 0 0 [ 1, 12, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 21, 8, 16, 21 ] 288 1 9 0 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 1 ] , [ 19, 12, 12, 19 ] , [ 23, 0, 0, 23 ] 288 1 9 0 0 [ 1, 12, 0, 1 ] , [ 9, 10, 8, 9 ] , [ 11, 12, 0, 11 ] , [ 15, 2, 16, 15 ] , [ 17, 12, 0, 17 ] , [ 21, 2, 16, 21 ] , [ 23, 0, 0, 23 ] 288 1 9 0 0 [ 1, 12, 0, 1 ] , [ 3, 22, 20, 3 ] , [ 9, 10, 20, 9 ] , [ 9, 22, 20, 9 ] , [ 15, 14, 4, 15 ] , [ 17, 12, 0, 17 ] , [ 21, 22, 20, 21 ] 288 1 9 0 0 [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 13, 4, 4, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 12 0 0 [ 1, 0, 12, 1 ] , [ 5, 0, 0, 5 ] , [ 19, 0, 12, 19 ] , [ 19, 12, 18, 19 ] , [ 23, 0, 12, 23 ] , [ 23, 12, 6, 23 ] , [ 23, 18, 21, 5 ] 288 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 18, 3, 7 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 9, 1 ] , [ 13, 6, 9, 19 ] , [ 13, 6, 21, 19 ] , [ 17, 0, 0, 17 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 5, 14, 23, 7 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 11, 1 ] , [ 13, 0, 12, 13 ] , [ 19, 12, 6, 19 ] 288 1 18 0 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 12, 12, 13 ] , [ 16, 7, 1, 20 ] , [ 17, 12, 12, 17 ] , [ 23, 0, 0, 23 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 5, 14, 23, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 6, 13 ] 288 1 18 0 0 [ 3, 14, 10, 15 ] , [ 11, 10, 22, 7 ] , [ 13, 12, 12, 13 ] , [ 13, 14, 2, 17 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] 288 1 18 0 0 [ 5, 12, 12, 5 ] , [ 11, 10, 10, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 23, 20, 20, 7 ] 288 1 18 0 0 [ 1, 8, 20, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 8, 20, 23 ] , [ 13, 20, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 20, 21 ] , [ 23, 0, 0, 23 ] 288 1 18 0 0 [ 5, 12, 12, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] , [ 23, 22, 10, 19 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 5, 20, 2, 13 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 18 0 0 [ 5, 12, 12, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] , [ 23, 10, 10, 19 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 12, 18, 5 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 6, 19 ] 288 1 18 0 0 [ 1, 8, 20, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 8, 20, 23 ] , [ 13, 4, 4, 5 ] , [ 13, 20, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 5, 0, 18, 5 ] , [ 7, 20, 5, 11 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 3, 14, 4, 3 ] , [ 5, 12, 12, 5 ] , [ 9, 14, 4, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 15, 14, 4, 15 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 16, 17 ] , [ 5, 8, 2, 13 ] , [ 13, 12, 18, 13 ] , [ 13, 16, 10, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 6, 19 ] 288 1 36 8 0 [ 1, 12, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 12, 13 ] , [ 16, 17, 23, 8 ] , [ 17, 0, 12, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 1, 12, 12, 1 ] , [ 4, 3, 21, 16 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 4, 21 ] , [ 21, 20, 16, 21 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 1, 12, 12, 1 ] , [ 4, 15, 9, 16 ] , [ 7, 12, 12, 7 ] , [ 16, 15, 9, 4 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 1 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 20, 21 ] , [ 21, 16, 8, 21 ] 288 1 36 8 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 12, 17, 7, 0 ] , [ 12, 23, 1, 0 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 1, 8, 8, 17 ] , [ 1, 12, 12, 1 ] , [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] 288 1 36 8 0 [ 7, 0, 0, 7 ] , [ 11, 20, 20, 19 ] , [ 13, 0, 0, 13 ] , [ 16, 13, 19, 8 ] , [ 17, 0, 0, 17 ] 288 1 36 8 0 [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 9, 16, 8, 9 ] , [ 12, 5, 19, 12 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] 288 1 72 8 0 [ 1, 6, 3, 19 ] , [ 11, 8, 2, 19 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] 288 2 36 0 0 [ 3, 2, 10, 15 ] , [ 3, 10, 2, 15 ] , [ 7, 0, 0, 7 ] , [ 13, 12, 12, 13 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 0, 17 ] 288 2 36 8 0 [ 1, 12, 12, 1 ] , [ 4, 19, 13, 8 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 4, 21 ] , [ 21, 20, 16, 21 ] , [ 23, 0, 0, 23 ] 288 2 36 8 0 [ 1, 12, 12, 1 ] , [ 1, 20, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 17, 12, 12, 17 ] , [ 20, 23, 17, 16 ] 288 2 72 8 0 [ 5, 0, 0, 5 ] , [ 9, 8, 22, 9 ] , [ 11, 14, 17, 13 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ] 384 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 8, 12, 5 ] , [ 19, 0, 12, 19 ] 384 1 12 0 0 [ 1, 8, 0, 1 ] , [ 5, 4, 12, 5 ] , [ 13, 12, 12, 13 ] , [ 19, 12, 12, 19 ] 384 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 11, 0, 0, 11 ] , [ 13, 12, 0, 13 ] , [ 13, 16, 0, 13 ] 384 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 11, 20, 6, 11 ] , [ 13, 12, 18, 13 ] 384 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 8, 6, 5 ] , [ 19, 0, 18, 19 ] 384 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 17, 4, 6, 17 ] , [ 23, 16, 12, 23 ] 384 1 24 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 5, 4, 12, 5 ] , [ 19, 12, 12, 19 ] Name Index con len c2 c3 SL(2,Z/28Z) Matrix Generators 336 1 84 0 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 16, 16, 5 ] , [ 13, 12, 12, 9 ] , [ 15, 0, 14, 15 ] 336 1 84 8 0 [ 1, 14, 0, 1 ] , [ 9, 16, 0, 25 ] , [ 13, 0, 14, 13 ] , [ 13, 2, 13, 15 ] , [ 15, 0, 14, 15 ] 336 1 84 8 0 [ 1, 14, 0, 1 ] , [ 1, 26, 1, 27 ] , [ 9, 16, 0, 25 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] 336 1 84 16 0 [ 1, 0, 14, 1 ] , [ 1, 26, 1, 27 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 25, 12, 0, 9 ] , [ 27, 0, 0, 27 ] 384 1 64 0 12 [ 6, 17, 9, 21 ] , [ 25, 8, 12, 5 ] , [ 27, 0, 0, 27 ] Name Index con len c2 c3 SL(2,Z/30Z) Matrix Generators 240 1 10 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 25, 6, 9, 25 ] 240 1 10 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 25, 6, 24, 25 ] 240 1 30 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 25, 12, 12, 19 ] , [ 27, 20, 4, 3 ] , [ 29, 0, 0, 29 ] 240 1 30 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ] 240 1 30 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] 270 1 135 8 0 [ 1, 20, 5, 11 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] 288 1 6 0 0 [ 7, 24, 9, 1 ] , [ 16, 15, 15, 1 ] , [ 17, 18, 3, 5 ] , [ 19, 24, 24, 13 ] 288 1 6 0 0 [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] 288 1 36 0 0 [ 1, 15, 15, 16 ] , [ 5, 14, 26, 25 ] , [ 13, 6, 6, 19 ] , [ 29, 0, 0, 29 ] 288 1 48 0 0 [ 11, 0, 0, 11 ] , [ 13, 6, 6, 19 ] , [ 16, 15, 25, 1 ] , [ 19, 0, 0, 19 ] 320 1 40 0 8 [ 1, 0, 20, 1 ] , [ 16, 15, 5, 1 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 10, 29 ] Name Index con len c2 c3 SL(2,Z/32Z) Matrix Generators 384 1 6 0 0 [ 1, 16, 16, 1 ] , [ 5, 20, 12, 29 ] , [ 9, 8, 24, 25 ] , [ 15, 24, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 20, 12, 11 ] , [ 19, 28, 20, 11 ] 384 1 12 0 0 [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 17, 8, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 14, 24, 11 ] , [ 21, 22, 24, 13 ] , [ 25, 20, 16, 9 ] , [ 29, 10, 8, 5 ] Γ1(32) 384 1 48 0 0 [ 2, 25, 23, 0 ] , [ 17, 16, 16, 17 ] , [ 21, 6, 26, 9 ] , [ 25, 24, 8, 9 ] , [ 29, 14, 18, 1 ] , [ 29, 28, 4, 5 ] , [ 31, 14, 18, 3 ] 384 1 48 0 0 [ 1, 16, 0, 1 ] , [ 5, 30, 8, 29 ] , [ 15, 0, 16, 15 ] , [ 17, 8, 0, 17 ] , [ 21, 14, 24, 13 ] , [ 25, 20, 16, 9 ] , [ 29, 10, 8, 5 ] 384 1 48 0 0 [ 1, 0, 8, 1 ] , [ 1, 0, 16, 1 ] , [ 9, 8, 16, 25 ] , [ 9, 8, 24, 25 ] , [ 17, 16, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 0, 0, 31 ] Name Index con len c2 c3 SL(2,Z/33Z) Matrix Generators 264 1 264 0 0 [ 1, 0, 11, 1 ] , [ 1, 30, 18, 13 ] , [ 19, 27, 9, 25 ] , [ 23, 0, 0, 23 ] , [ 32, 0, 0, 32 ] 288 1 12 0 0 [ 7, 6, 30, 7 ] , [ 25, 27, 30, 10 ] , [ 32, 0, 0, 32 ] 330 1 165 26 0 [ 0, 32, 1, 0 ] , [ 1, 8, 8, 32 ] , [ 10, 0, 0, 10 ] , [ 19, 24, 24, 13 ] , [ 23, 0, 0, 23 ] , [ 23, 30, 30, 32 ] Name Index con len c2 c3 SL(2,Z/34Z) Matrix Generators 288 1 18 0 0 [ 1, 0, 2, 1 ] , [ 18, 17, 17, 1 ] , [ 33, 0, 18, 33 ] Name Index con len c2 c3 SL(2,Z/35Z) Matrix Generators 320 1 80 0 8 [ 1, 0, 25, 1 ] , [ 8, 28, 14, 1 ] , [ 11, 0, 0, 16 ] , [ 34, 0, 0, 34 ] 336 1 168 16 0 [ 1, 0, 28, 1 ] , [ 11, 25, 0, 16 ] , [ 13, 10, 4, 22 ] , [ 26, 25, 0, 31 ] , [ 34, 0, 0, 34 ] Name Index con len c2 c3 SL(2,Z/36Z) Matrix Generators 288 1 12 0 0 [ 1, 0, 24, 1 ] , [ 17, 18, 18, 17 ] , [ 19, 18, 18, 19 ] , [ 25, 0, 24, 13 ] , [ 25, 24, 16, 1 ] 288 1 12 0 0 [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 13, 24, 32, 1 ] , [ 19, 18, 18, 19 ] , [ 35, 0, 0, 35 ] 288 1 24 0 0 [ 1, 12, 0, 1 ] , [ 1, 12, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ] 288 1 48 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ] 288 1 48 0 0 [ 1, 0, 12, 1 ] , [ 7, 33, 3, 4 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 35, 0, 0, 35 ] 288 1 48 0 6 [ 1, 0, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ] 288 1 96 0 0 [ 1, 0, 12, 1 ] , [ 16, 27, 33, 31 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 25, 19 ] , [ 35, 0, 0, 35 ] 288 1 96 0 6 [ 1, 0, 24, 1 ] , [ 16, 27, 9, 31 ] , [ 19, 0, 0, 19 ] , [ 28, 15, 1, 7 ] , [ 35, 0, 0, 35 ] 432 1 18 0 0 [ 1, 18, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ] , [ 25, 24, 12, 13 ] , [ 35, 0, 0, 35 ] 432 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 16, 25 ] , [ 35, 0, 0, 35 ] 432 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 12, 24, 25 ] , [ 35, 0, 0, 35 ] Γ1(36) 432 1 72 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 25, 0, 32, 13 ] , [ 35, 0, 0, 35 ] Name Index con len c2 c3 SL(2,Z/39Z) Matrix Generators 336 1 56 0 0 [ 1, 0, 26, 1 ] , [ 7, 21, 15, 34 ] , [ 14, 0, 13, 14 ] , [ 25, 0, 0, 25 ] Name Index con len c2 c3 SL(2,Z/40Z) Matrix Generators 240 1 15 0 0 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 31 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 9, 32, 32, 25 ] , [ 15, 34, 21, 5 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] , [ 25, 32, 32, 1 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 7, 0, 26, 23 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 20, 30, 11 ] , [ 31, 0, 20, 31 ] , [ 31, 20, 10, 31 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 20, 30, 11 ] , [ 17, 0, 16, 33 ] , [ 31, 0, 20, 31 ] , [ 31, 20, 10, 31 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 31, 0, 0, 31 ] , [ 31, 28, 38, 15 ] , [ 31, 30, 5, 1 ] 240 1 30 0 0 [ 1, 0, 20, 1 ] , [ 5, 28, 18, 29 ] , [ 9, 0, 20, 9 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 25, 32, 32, 1 ] , [ 31, 10, 5, 21 ] 240 1 30 0 0 [ 1, 10, 10, 21 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 0, 8, 33 ] , [ 17, 8, 16, 17 ] , [ 21, 20, 20, 21 ] 240 1 60 0 0 [ 1, 10, 30, 21 ] , [ 7, 0, 26, 23 ] , [ 9, 0, 20, 9 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 8, 8, 15 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 5, 12, 32, 21 ] , [ 9, 0, 30, 9 ] , [ 13, 4, 35, 17 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 10, 31 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 15, 34, 21, 5 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 15, 21 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 26, 29, 5 ] , [ 21, 0, 0, 21 ] , [ 31, 10, 15, 1 ] 240 1 60 0 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, 20, 24, 17 ] 240 1 60 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 35, 11 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] 240 1 60 4 0 [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 24, 17 ] , [ 31, 20, 20, 31 ] , [ 36, 39, 33, 28 ] 240 1 60 4 0 [ 1, 8, 16, 9 ] , [ 8, 37, 19, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ] 240 1 120 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 4, 17 ] 240 1 120 4 0 [ 1, 30, 35, 11 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 15, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] 240 2 60 4 0 [ 9, 0, 0, 9 ] , [ 17, 0, 36, 33 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 21, 20, 0, 21 ] , [ 26, 35, 35, 21 ] , [ 31, 0, 0, 31 ] 240 2 60 4 0 [ 9, 0, 0, 9 ] , [ 17, 0, 16, 33 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 21, 20, 0, 21 ] , [ 26, 35, 35, 21 ] , [ 31, 0, 0, 31 ] 288 1 18 0 0 [ 1, 10, 30, 21 ] , [ 9, 0, 20, 9 ] , [ 9, 24, 24, 33 ] , [ 17, 28, 28, 25 ] , [ 19, 30, 10, 39 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 16, 16, 9 ] 288 1 18 0 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 17, 8, 8, 25 ] , [ 17, 24, 24, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 12, 12, 17 ] , [ 25, 16, 4, 25 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 288 1 18 0 0 [ 9, 0, 0, 9 ] , [ 9, 38, 6, 21 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 10, 18, 37 ] , [ 33, 16, 16, 9 ] 288 1 18 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 16, 16, 9 ] , [ 33, 18, 30, 37 ] 288 1 18 0 0 [ 1, 20, 20, 1 ] , [ 1, 24, 32, 9 ] , [ 9, 0, 0, 9 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 288 1 18 0 0 [ 1, 10, 10, 21 ] , [ 19, 20, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 32, 32, 25 ] 288 1 36 0 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 8 ] , [ 17, 8, 8, 25 ] , [ 17, 24, 24, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 12, 12, 17 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 288 1 36 0 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 17, 8, 8, 25 ] , [ 17, 24, 24, 1 ] , [ 20, 33, 23, 28 ] , [ 21, 20, 20, 21 ] , [ 25, 12, 12, 17 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 288 1 36 0 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 9, 39, 16 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] 288 1 36 0 0 [ 1, 20, 20, 1 ] , [ 10, 39, 21, 10 ] , [ 17, 8, 8, 25 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 30, 11 ] , [ 39, 20, 20, 39 ] 288 1 36 0 0 [ 1, 10, 10, 21 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 11, 20, 20, 11 ] , [ 21, 20, 20, 21 ] , [ 33, 30, 38, 37 ] 288 1 36 0 0 [ 1, 10, 10, 21 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 11, 20, 20, 11 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 8, 17 ] 288 1 72 0 0 [ 6, 35, 25, 6 ] , [ 14, 15, 5, 14 ] , [ 16, 5, 35, 36 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ] 288 1 72 0 0 [ 3, 2, 2, 15 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 22, 3, 33, 10 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ] 288 1 72 0 0 [ 1, 30, 30, 21 ] , [ 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 [ 1, 20, 20, 1 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 28 ] , [ 13, 12, 12, 5 ] , [ 21, 20, 0, 21 ] , [ 39, 0, 0, 39 ] 288 1 72 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 9, 39, 16 ] , [ 12, 37, 35, 28 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] , [ 39, 20, 20, 39 ] 288 1 72 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 28 ] , [ 17, 0, 12, 33 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] 288 1 72 8 0 [ 1, 20, 20, 1 ] , [ 11, 4, 12, 19 ] , [ 15, 32, 32, 7 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 28, 1, 31, 4 ] , [ 33, 16, 16, 9 ] , [ 33, 32, 32, 25 ] 288 1 72 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 28 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] 288 1 72 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 8 ] , [ 21, 0, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] , [ 39, 20, 20, 39 ] 288 1 72 8 0 [ 4, 9, 39, 28 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 32, 17, 15, 8 ] , [ 32, 37, 35, 8 ] , [ 39, 0, 0, 39 ] 288 1 72 8 0 [ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 24, 19, 29, 8 ] , [ 25, 32, 32, 17 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ] 288 2 18 0 0 [ 1, 20, 20, 1 ] , [ 4, 33, 31, 16 ] , [ 5, 32, 32, 37 ] , [ 6, 9, 27, 14 ] , [ 9, 24, 24, 33 ] , [ 17, 8, 8, 25 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ] 288 2 36 0 0 [ 1, 0, 20, 1 ] , [ 17, 8, 8, 25 ] , [ 23, 10, 18, 27 ] , [ 25, 14, 6, 5 ] , [ 29, 20, 20, 29 ] , [ 33, 10, 18, 37 ] 288 2 36 0 0 [ 1, 10, 30, 21 ] , [ 2, 15, 17, 28 ] , [ 4, 13, 11, 26 ] , [ 19, 10, 30, 39 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] 288 2 72 8 0 [ 9, 24, 24, 33 ] , [ 13, 16, 16, 29 ] , [ 14, 31, 13, 26 ] , [ 17, 8, 8, 25 ] , [ 23, 36, 36, 39 ] , [ 25, 32, 32, 17 ] , [ 28, 37, 27, 0 ] , [ 39, 0, 0, 39 ] Name Index con len c2 c3 SL(2,Z/42Z) Matrix Generators 252 1 63 8 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 15, 16, 32, 9 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] 252 1 63 8 0 [ 1, 16, 4, 23 ] , [ 1, 30, 18, 37 ] , [ 9, 40, 17, 15 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] 252 2 63 4 0 [ 1, 0, 21, 1 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 6, 12, 19 ] 252 2 63 8 0 [ 6, 17, 25, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 4, 29 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 36, 23, 25, 30 ] , [ 37, 6, 12, 19 ] 252 2 63 8 0 [ 1, 9, 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 2 63 8 0 [ 5, 2, 11, 13 ] , [ 5, 36, 30, 23 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 6, 12, 19 ] 252 2 63 8 0 [ 5, 36, 30, 23 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ] 252 2 126 8 0 [ 11, 4, 22, 31 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 3, 19 ] , [ 19, 36, 30, 37 ] , [ 28, 3, 9, 13 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] 288 1 24 0 0 [ 1, 0, 21, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 12, 1 ] , [ 29, 0, 0, 29 ] 288 2 96 0 0 [ 1, 0, 21, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 6, 30, 25 ] , [ 29, 0, 0, 29 ] , [ 37, 18, 14, 25 ] 336 1 84 32 0 [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 26, 29, 13 ] , [ 41, 0, 0, 41 ] 384 1 64 0 12 [ 1, 0, 28, 1 ] , [ 7, 39, 33, 34 ] , [ 37, 12, 18, 7 ] , [ 41, 0, 0, 41 ] Name Index con len c2 c3 SL(2,Z/44Z) Matrix Generators 264 1 66 12 0 [ 1, 22, 22, 1 ] , [ 1, 33, 33, 34 ] , [ 8, 19, 33, 29 ] , [ 21, 0, 22, 21 ] , [ 23, 0, 22, 23 ] , [ 25, 36, 0, 37 ] , [ 27, 2, 9, 17 ] , [ 37, 8, 0, 25 ] , [ 41, 32, 21, 25 ] 264 1 66 12 0 [ 1, 16, 37, 21 ] , [ 1, 22, 22, 1 ] , [ 1, 33, 33, 34 ] , [ 7, 10, 17, 37 ] , [ 8, 19, 33, 29 ] , [ 21, 0, 22, 21 ] , [ 23, 0, 22, 23 ] , [ 25, 36, 0, 37 ] , [ 37, 8, 0, 25 ] 264 1 264 12 0 [ 9, 32, 0, 5 ] , [ 12, 33, 11, 23 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 11, 1 ] , [ 27, 24, 20, 39 ] , [ 43, 0, 0, 43 ] 288 1 36 0 0 [ 1, 0, 22, 1 ] , [ 21, 8, 20, 37 ] , [ 25, 16, 8, 21 ] , [ 29, 28, 8, 29 ] , [ 43, 0, 22, 43 ] Name Index con len c2 c3 SL(2,Z/45Z) Matrix Generators 240 1 40 0 0 [ 1, 0, 15, 1 ] , [ 1, 30, 10, 31 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] 240 1 80 0 0 [ 10, 42, 27, 19 ] , [ 16, 0, 0, 31 ] , [ 16, 0, 30, 31 ] , [ 16, 15, 25, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 43, 10 ] , [ 26, 42, 27, 35 ] 270 1 135 14 0 [ 3, 4, 20, 42 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 5, 5, 1 ] , [ 31, 0, 30, 16 ] , [ 41, 30, 30, 11 ] , [ 43, 0, 33, 22 ] 270 1 270 14 0 [ 10, 27, 27, 19 ] , [ 11, 5, 35, 16 ] , [ 11, 15, 15, 41 ] , [ 31, 15, 15, 16 ] , [ 36, 20, 40, 36 ] , [ 43, 16, 25, 2 ] , [ 44, 0, 0, 44 ] 288 1 24 0 0 [ 6, 5, 40, 11 ] , [ 14, 15, 30, 29 ] , [ 16, 0, 15, 31 ] , [ 16, 15, 30, 31 ] , [ 16, 30, 0, 31 ] , [ 31, 15, 0, 16 ] , [ 37, 27, 27, 10 ] 288 1 24 0 0 [ 1, 30, 30, 1 ] , [ 26, 25, 35, 6 ] , [ 31, 0, 30, 16 ] , [ 31, 30, 15, 16 ] , [ 37, 27, 27, 10 ] , [ 44, 15, 15, 44 ] Name Index con len c2 c3 SL(2,Z/48Z) Matrix Generators 256 2 128 0 4 [ 1, 0, 32, 1 ] , [ 10, 27, 3, 37 ] , [ 16, 3, 21, 40 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 31, 24, 24, 31 ] 288 1 6 0 0 [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 16, 45, 27, 46 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 32 ] 288 1 6 0 0 [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 17, 0, 0, 17 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 16 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 43, 30, 42, 7 ] 288 1 6 0 0 [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 33, 32, 10, 33 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 7, 0, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 16, 34, 7 ] , [ 23, 40, 4, 7 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 12, 31 ] , [ 37, 0, 36, 13 ] , [ 41, 40, 7, 1 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 30, 17 ] , [ 17, 16, 7, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 12, 31 ] , [ 37, 0, 36, 13 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 40, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 8, 10, 33 ] , [ 33, 40, 32, 33 ] , [ 47, 16, 10, 31 ] 288 1 18 0 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 21, 40, 8, 45 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 42, 31 ] , [ 37, 40, 10, 29 ] , [ 37, 40, 40, 29 ] 288 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 11, 24, 42, 35 ] , [ 17, 0, 0, 17 ] , [ 21, 32, 16, 45 ] , [ 25, 0, 0, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 24, 47 ] 288 1 18 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, 0, 36, 13 ] 288 1 18 16 0 [ 13, 0, 12, 37 ] , [ 13, 24, 24, 37 ] , [ 17, 24, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 31, 36, 6, 7 ] , [ 47, 0, 0, 47 ] 288 1 18 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 22, 25, 29 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] 288 1 18 16 0 [ 1, 0, 24, 1 ] , [ 11, 38, 41, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 14, 25 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 12, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] 288 1 18 16 0 [ 1, 0, 24, 1 ] , [ 5, 20, 38, 37 ] , [ 11, 38, 41, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 2, 25 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 12, 25 ] , [ 47, 0, 0, 47 ] 288 1 18 16 0 [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 16, 17, 47, 32 ] , [ 17, 0, 0, 17 ] , [ 17, 40, 16, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 18 16 0 [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 16, 17, 47, 32 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 18 16 0 [ 1, 0, 24, 1 ] , [ 1, 12, 42, 25 ] , [ 13, 0, 12, 37 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 12, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 47, 0, 0, 47 ] 288 1 24 12 0 [ 0, 5, 19, 0 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 12, 12, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 24 12 0 [ 0, 5, 19, 0 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 11, 4, 40, 19 ] , [ 17, 4, 40, 1 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 18, 31 ] , [ 41, 24, 0, 41 ] , [ 47, 0, 12, 47 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 7, 24, 36, 7 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 12, 47 ] , [ 47, 16, 37, 31 ] 288 1 36 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 3, 16, 41, 27 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 32, 17, 47 ] , [ 41, 0, 24, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 13, 16, 10, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 19, 8, 17, 35 ] , [ 25, 0, 0, 25 ] , [ 41, 0, 24, 41 ] , [ 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, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 42, 41 ] , [ 45, 32, 22, 21 ] , [ 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 ] , [ 25, 24, 33, 1 ] , [ 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, 8, 34, 9 ] , [ 17, 0, 0, 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, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 41, 0, 42, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 30, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 31, 32, 17, 47 ] , [ 47, 0, 0, 47 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 30, 17 ] , [ 17, 32, 32, 1 ] , [ 19, 8, 17, 35 ] , [ 25, 0, 0, 25 ] , [ 47, 0, 0, 47 ] 288 1 36 8 0 [ 1, 24, 24, 1 ] , [ 4, 29, 11, 44 ] , [ 16, 33, 15, 16 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 36 8 0 [ 1, 24, 24, 1 ] , [ 4, 29, 11, 44 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 24, 24, 25 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 11, 38, 41, 37 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ] , [ 43, 22, 31, 17 ] 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 11, 38, 41, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ] 288 1 36 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 7, 22, 37, 41 ] , [ 11, 24, 12, 35 ] , [ 13, 24, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 19, 30, 15, 1 ] , [ 25, 0, 0, 25 ] , [ 47, 0, 0, 47 ] 288 1 36 8 0 [ 17, 0, 0, 17 ] , [ 19, 24, 36, 43 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 24, 13 ] , [ 37, 40, 22, 29 ] , [ 43, 6, 15, 1 ] , [ 47, 0, 0, 47 ] 288 1 36 8 0 [ 1, 24, 24, 1 ] , [ 4, 29, 11, 44 ] , [ 16, 33, 15, 16 ] , [ 17, 0, 0, 17 ] , [ 20, 31, 1, 28 ] , [ 25, 24, 24, 25 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] 288 1 36 8 0 [ 1, 24, 24, 1 ] , [ 4, 29, 11, 44 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 20, 31, 1, 28 ] , [ 25, 24, 24, 25 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 0, 5, 19, 0 ] , [ 1, 16, 40, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 32, 40, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 5, 19, 0 ] , [ 33, 16, 32, 33 ] , [ 40, 17, 47, 8 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 32, 17, 47, 16 ] , [ 32, 45, 27, 8 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 28, 1 ] , [ 25, 0, 0, 25 ] , [ 33, 20, 28, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 13, 12, 12, 37 ] , [ 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, 0, 24, 1 ] , [ 11, 26, 47, 37 ] , [ 19, 22, 25, 29 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 31, 34, 31, 17 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 28, 1 ] , [ 25, 24, 24, 25 ] , [ 33, 4, 44, 33 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 47, 37 ] , [ 17, 0, 0, 17 ] , [ 19, 22, 25, 29 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 2, 35, 37 ] , [ 11, 12, 30, 11 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 20, 14, 7 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 5, 8, 44, 13 ] , [ 11, 2, 35, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 20, 2, 7 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 1, 16, 4, 17 ] , [ 11, 2, 35, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 43, 28, 34, 11 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 11, 2, 35, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 43, 28, 46, 11 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 7, 2, 23, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 21, 8, 40, 45 ] , [ 25, 0, 24, 25 ] , [ 37, 44, 26, 5 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 7, 2, 23, 41 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 43, 28, 10, 11 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 9, 4, 2, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 26, 23, 41 ] , [ 35, 10, 7, 13 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 38, 5, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 26, 23, 41 ] , [ 35, 10, 7, 13 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 21, 16, 32, 45 ] , [ 23, 22, 1, 1 ] , [ 25, 24, 36, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 35, 25 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 21, 16, 32, 45 ] , [ 25, 24, 36, 25 ] , [ 29, 12, 18, 29 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 35, 25 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 25, 24, 36, 25 ] , [ 29, 12, 18, 29 ] , [ 33, 16, 44, 33 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 0, 47 ] 288 1 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 24, 36, 25 ] , [ 33, 16, 44, 33 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 0, 47 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 20, 45, 27, 44 ] , [ 36, 13, 11, 0 ] , [ 36, 37, 35, 12 ] , [ 47, 0, 0, 47 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 20, 45, 27, 44 ] , [ 36, 37, 35, 12 ] , [ 47, 0, 0, 47 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 33, 16, 32, 33 ] , [ 36, 13, 11, 0 ] , [ 36, 37, 35, 12 ] , [ 47, 0, 0, 47 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 33, 16, 32, 33 ] , [ 36, 37, 35, 12 ] , [ 47, 0, 0, 47 ] 288 1 72 8 0 [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 9, 39, 28 ] , [ 17, 0, 24, 17 ] , [ 20, 21, 3, 8 ] , [ 25, 24, 24, 25 ] , [ 31, 12, 36, 31 ] , [ 32, 41, 23, 16 ] 288 1 72 12 0 [ 0, 5, 19, 0 ] , [ 1, 0, 24, 1 ] , [ 1, 4, 4, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 12, 12, 25 ] , [ 33, 20, 4, 33 ] , [ 47, 0, 0, 47 ] 288 1 72 12 0 [ 0, 5, 19, 0 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 9, 8, 40, 9 ] , [ 17, 0, 0, 17 ] , [ 25, 40, 40, 41 ] , [ 47, 0, 0, 47 ] 288 2 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 11, 24, 42, 35 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 27, 16, 2, 3 ] , [ 41, 0, 0, 41 ] , [ 47, 0, 24, 47 ] , [ 47, 16, 10, 31 ] 288 2 18 16 0 [ 1, 0, 24, 1 ] , [ 5, 0, 36, 29 ] , [ 9, 4, 2, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 26, 23, 41 ] , [ 47, 0, 0, 47 ] 288 2 18 16 0 [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 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 2 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 15, 32, 1, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 30, 17 ] , [ 19, 8, 17, 35 ] , [ 25, 0, 0, 25 ] , [ 47, 0, 0, 47 ] 288 2 36 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 40, 46, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 32, 17, 47 ] , [ 41, 0, 24, 41 ] , [ 47, 0, 0, 47 ] 288 2 36 8 0 [ 1, 0, 24, 1 ] , [ 11, 24, 12, 35 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] , [ 35, 14, 11, 25 ] , [ 43, 38, 29, 29 ] 288 2 36 8 0 [ 1, 0, 24, 1 ] , [ 11, 24, 12, 35 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 29, 24, 24, 5 ] , [ 33, 32, 22, 33 ] , [ 35, 14, 11, 25 ] 288 2 36 16 0 [ 0, 5, 19, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 8, 8, 5 ] , [ 13, 16, 40, 5 ] , [ 17, 0, 0, 17 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 0, 1, 47, 0 ] , [ 1, 4, 4, 17 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 44, 4, 33 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 2, 47, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 27, 16, 20, 3 ] , [ 33, 20, 34, 9 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 0, 1, 47, 0 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 17, 24, 24, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 20, 28, 33 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 15, 4, 2, 39 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 35, 26, 35, 37 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 13, 28, 34, 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 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 11, 2, 47, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 20, 34, 9 ] , [ 41, 22, 37, 7 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 15, 4, 2, 39 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 35, 26, 35, 37 ] , [ 43, 2, 35, 5 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 7, 2, 35, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 21, 8, 4, 45 ] , [ 23, 6, 9, 17 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 13, 42, 27, 43 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 0, 25 ] , [ 33, 2, 31, 15 ] , [ 41, 24, 12, 41 ] , [ 47, 4, 22, 7 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 13, 28, 34, 29 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 20, 33 ] , [ 41, 24, 36, 41 ] , [ 43, 34, 19, 5 ] , [ 47, 0, 0, 47 ] 288 2 36 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 35, 6, 45, 5 ] , [ 41, 24, 36, 41 ] , [ 43, 2, 35, 5 ] , [ 43, 34, 31, 29 ] , [ 47, 0, 0, 47 ] 288 2 72 8 0 [ 0, 17, 31, 36 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 24, 17 ] , [ 17, 12, 12, 17 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 36, 13, 11, 0 ] , [ 47, 36, 12, 47 ] 384 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 19, 0, 30, 43 ] , [ 25, 0, 36, 25 ] , [ 47, 0, 4, 47 ] 384 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 25, 0, 36, 25 ] , [ 43, 24, 6, 19 ] , [ 47, 0, 4, 47 ] 384 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 19, 0, 30, 43 ] , [ 25, 0, 36, 25 ] , [ 31, 24, 0, 31 ] , [ 47, 0, 4, 47 ] 384 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 19, 24, 30, 43 ] , [ 25, 0, 36, 25 ] , [ 31, 0, 0, 31 ] , [ 47, 0, 4, 47 ] 384 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 4, 47 ] 384 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 8, 45, 43, 14 ] , [ 19, 42, 6, 31 ] , [ 23, 24, 40, 23 ] , [ 25, 24, 24, 25 ] , [ 37, 36, 12, 13 ] 384 1 48 0 0 [ 1, 0, 32, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 10, 17 ] , [ 31, 6, 42, 19 ] 384 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 5, 6, 10, 41 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 22 ] , [ 25, 24, 24, 25 ] , [ 31, 30, 18, 19 ] Name Index con len c2 c3 SL(2,Z/50Z) Matrix Generators 300 1 300 4 15 [ 5, 13, 33, 46 ] , [ 15, 13, 3, 36 ] , [ 15, 47, 47, 34 ] , [ 21, 0, 40, 31 ] , [ 31, 40, 20, 21 ] , [ 38, 5, 21, 12 ] Name Index con len c2 c3 SL(2,Z/51Z) Matrix Generators 288 1 72 0 0 [ 1, 0, 18, 1 ] , [ 1, 34, 0, 1 ] , [ 4, 34, 24, 13 ] , [ 16, 17, 0, 16 ] , [ 35, 17, 0, 35 ] Name Index con len c2 c3 SL(2,Z/52Z) Matrix Generators 336 1 56 24 0 [ 14, 39, 39, 1 ] , [ 19, 6, 9, 33 ] , [ 27, 0, 0, 27 ] , [ 33, 8, 28, 21 ] , [ 33, 28, 20, 17 ] , [ 37, 48, 12, 17 ] , [ 41, 36, 48, 13 ] Name Index con len c2 c3 SL(2,Z/55Z) Matrix Generators 240 1 120 0 0 [ 21, 0, 0, 21 ] , [ 26, 40, 15, 21 ] , [ 34, 0, 0, 34 ] , [ 45, 22, 22, 34 ] , [ 51, 40, 20, 6 ] 288 1 72 0 0 [ 1, 33, 0, 1 ] , [ 11, 10, 45, 51 ] , [ 19, 16, 30, 34 ] , [ 36, 50, 25, 21 ] Name Index con len c2 c3 SL(2,Z/56Z) Matrix Generators 224 2 112 0 2 [ 1, 7, 35, 22 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 49, 16, 24, 49 ] 252 2 63 8 0 [ 1, 14, 35, 43 ] , [ 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, 30, 17, 7 ] 256 1 128 0 4 [ 15, 0, 0, 15 ] , [ 25, 16, 32, 25 ] , [ 29, 0, 0, 29 ] , [ 33, 48, 16, 25 ] , [ 41, 24, 16, 49 ] , [ 50, 21, 21, 29 ] 256 2 128 0 4 [ 15, 0, 0, 15 ] , [ 25, 16, 32, 25 ] , [ 33, 48, 16, 25 ] , [ 41, 24, 16, 49 ] , [ 45, 54, 45, 3 ] , [ 50, 21, 21, 29 ] 336 1 84 8 0 [ 1, 0, 14, 1 ] , [ 1, 0, 28, 1 ] , [ 1, 54, 1, 55 ] , [ 15, 28, 14, 15 ] , [ 23, 22, 16, 47 ] , [ 25, 40, 0, 9 ] , [ 29, 0, 28, 29 ] , [ 55, 0, 0, 55 ] 336 1 84 8 0 [ 1, 0, 14, 1 ] , [ 1, 0, 28, 1 ] , [ 15, 28, 14, 15 ] , [ 25, 40, 0, 9 ] , [ 29, 0, 28, 29 ] , [ 41, 30, 41, 15 ] , [ 47, 6, 40, 23 ] , [ 55, 0, 0, 55 ] Name Index con len c2 c3 SL(2,Z/57Z) Matrix Generators 240 1 20 0 0 [ 16, 36, 54, 4 ] , [ 20, 0, 0, 20 ] , [ 22, 21, 3, 34 ] , [ 22, 48, 15, 25 ] , [ 31, 42, 3, 28 ] 240 2 80 0 0 [ 16, 36, 54, 4 ] , [ 20, 0, 0, 20 ] , [ 22, 10, 15, 25 ] , [ 22, 21, 3, 34 ] , [ 31, 42, 3, 28 ] Name Index con len c2 c3 SL(2,Z/60Z) Matrix Generators 240 1 40 0 6 [ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 45, 52, 32, 49 ] , [ 46, 35, 15, 1 ] , [ 49, 40, 10, 29 ] , [ 51, 40, 50, 51 ] 240 1 60 0 0 [ 1, 12, 36, 13 ] , [ 1, 20, 40, 21 ] , [ 1, 24, 12, 49 ] , [ 13, 12, 0, 37 ] , [ 21, 20, 40, 41 ] , [ 31, 0, 0, 31 ] , [ 31, 0, 30, 31 ] , [ 49, 0, 0, 49 ] 240 1 60 8 0 [ 1, 40, 55, 41 ] , [ 17, 20, 59, 13 ] , [ 25, 12, 12, 49 ] , [ 29, 0, 30, 29 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 30, 41 ] , [ 46, 15, 15, 1 ] 240 1 60 8 0 [ 1, 40, 55, 41 ] , [ 25, 12, 12, 49 ] , [ 29, 0, 30, 29 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 40, 19, 53 ] , [ 41, 0, 30, 41 ] , [ 46, 15, 15, 1 ] 240 1 60 8 0 [ 1, 48, 36, 49 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 25, 36 ] , [ 37, 36, 0, 13 ] , [ 37, 48, 36, 37 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 5, 24, 31, 5 ] , [ 25, 54, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 11, 30, 55, 41 ] , [ 25, 24, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 8 0 [ 11, 50, 35, 1 ] , [ 13, 20, 56, 17 ] , [ 13, 40, 16, 17 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] 240 1 120 8 0 [ 13, 0, 36, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] , [ 51, 10, 35, 21 ] 240 2 30 8 0 [ 1, 15, 15, 46 ] , [ 1, 30, 30, 1 ] , [ 21, 40, 50, 21 ] , [ 29, 30, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 33, 35, 16, 57 ] , [ 41, 0, 0, 41 ] , [ 55, 42, 12, 19 ] 240 2 30 8 0 [ 1, 15, 15, 46 ] , [ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 29, 30, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 33, 35, 16, 57 ] , [ 41, 0, 0, 41 ] , [ 55, 42, 12, 19 ] 240 2 40 0 6 [ 1, 24, 12, 49 ] , [ 1, 30, 30, 1 ] , [ 13, 0, 36, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 30, 41 ] , [ 49, 0, 0, 49 ] , [ 53, 28, 44, 21 ] , [ 56, 55, 5, 51 ] 270 1 135 8 0 [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 20, 20, 41 ] , [ 17, 10, 52, 13 ] , [ 31, 0, 30, 31 ] , [ 39, 22, 14, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ] 288 1 36 16 0 [ 29, 0, 30, 29 ] , [ 31, 0, 30, 31 ] , [ 31, 15, 45, 16 ] , [ 31, 30, 0, 31 ] , [ 31, 52, 19, 59 ] , [ 41, 30, 0, 41 ] , [ 49, 24, 24, 13 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 13, 36, 36, 49 ] , [ 29, 0, 50, 29 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 5, 41 ] , [ 41, 30, 50, 41 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 30, 57, 13 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ] 288 1 72 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 30, 45, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 18, 55 ] , [ 37, 0, 57, 13 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 30, 42, 43 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ] 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 18, 55 ] , [ 37, 0, 12, 13 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] 288 1 72 16 0 [ 1, 30, 45, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 8, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] 288 1 72 16 0 [ 16, 45, 15, 31 ] , [ 19, 36, 48, 31 ] , [ 21, 10, 5, 51 ] , [ 31, 0, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] 288 1 72 16 0 [ 16, 45, 15, 31 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] 288 2 18 16 0 [ 1, 30, 30, 1 ] , [ 31, 22, 49, 29 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 24, 24, 13 ] , [ 59, 0, 0, 59 ] 288 2 72 16 0 [ 11, 10, 55, 1 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 39, 46, 23, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] Name Index con len c2 c3 SL(2,Z/63Z) Matrix Generators 252 2 21 12 0 [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 26, 42, 30, 17 ] , [ 28, 45, 9, 28 ] , [ 43, 0, 42, 22 ] , [ 43, 21, 21, 22 ] , [ 46, 18, 0, 37 ] , [ 47, 53, 14, 52 ] , [ 55, 0, 0, 55 ] 252 2 42 12 0 [ 4, 53, 14, 44 ] , [ 4, 60, 42, 16 ] , [ 10, 36, 18, 46 ] , [ 22, 42, 0, 43 ] , [ 23, 45, 0, 11 ] , [ 25, 39, 42, 58 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 21, 22 ] , [ 55, 0, 0, 55 ] , [ 58, 45, 0, 25 ] , [ 61, 60, 0, 31 ] 252 2 126 4 0 [ 1, 42, 0, 1 ] , [ 8, 42, 0, 8 ] , [ 10, 36, 18, 46 ] , [ 22, 35, 14, 8 ] , [ 22, 42, 42, 43 ] , [ 28, 18, 54, 28 ] , [ 37, 45, 0, 46 ] , [ 43, 0, 21, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 21, 0, 55 ] 288 1 48 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 4, 42, 51, 16 ] , [ 8, 0, 0, 8 ] , [ 16, 21, 54, 4 ] , [ 22, 42, 42, 43 ] , [ 41, 21, 42, 20 ] , [ 43, 21, 0, 22 ] , [ 58, 42, 54, 25 ] 288 1 96 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 49, 34 ] , [ 25, 0, 45, 58 ] , [ 46, 0, 31, 37 ] , [ 50, 0, 35, 29 ] , [ 55, 0, 0, 55 ] 288 1 96 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 49, 34 ] , [ 16, 0, 18, 4 ] , [ 37, 0, 4, 46 ] , [ 50, 0, 35, 29 ] , [ 55, 0, 0, 55 ] 288 1 96 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 0, 49, 1 ] , [ 8, 0, 0, 8 ] , [ 8, 0, 56, 8 ] , [ 37, 0, 18, 46 ] , [ 55, 0, 0, 55 ] , [ 55, 0, 28, 55 ] 288 1 96 0 0 [ 1, 0, 9, 1 ] , [ 1, 42, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 16, 21, 54, 4 ] , [ 22, 0, 0, 43 ] , [ 25, 0, 51, 58 ] , [ 37, 21, 54, 46 ] , [ 41, 21, 42, 20 ] , [ 43, 42, 21, 22 ] 288 1 96 0 6 [ 1, 0, 21, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 29, 42, 7, 8 ] , [ 37, 21, 26, 25 ] , [ 55, 0, 42, 55 ] , [ 58, 0, 12, 25 ] 288 1 96 0 6 [ 1, 0, 21, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 4, 42, 37, 58 ] , [ 29, 42, 7, 8 ] , [ 46, 21, 2, 16 ] , [ 55, 0, 42, 55 ] 288 1 96 0 6 [ 1, 0, 21, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 8, 42, 28, 29 ] , [ 37, 21, 26, 25 ] , [ 46, 21, 2, 16 ] , [ 55, 0, 42, 55 ] Name Index con len c2 c3 SL(2,Z/64Z) Matrix Generators 384 1 12 0 0 [ 1, 8, 32, 1 ] , [ 1, 32, 0, 1 ] , [ 17, 8, 32, 49 ] , [ 17, 48, 0, 49 ] , [ 25, 24, 0, 41 ] , [ 33, 8, 32, 33 ] , [ 33, 16, 0, 33 ] , [ 33, 32, 0, 33 ] , [ 35, 38, 8, 27 ] , [ 37, 38, 8, 29 ] , [ 41, 4, 48, 25 ] 384 1 24 0 0 [ 1, 32, 32, 1 ] , [ 2, 57, 55, 32 ] , [ 23, 56, 8, 39 ] , [ 31, 46, 50, 35 ] , [ 32, 39, 41, 2 ] , [ 33, 32, 32, 33 ] , [ 44, 35, 13, 54 ] , [ 49, 48, 16, 17 ] , [ 57, 26, 38, 5 ] , [ 57, 56, 8, 9 ] , [ 61, 28, 36, 5 ] , [ 63, 14, 18, 3 ] 384 1 48 0 0 [ 1, 32, 32, 1 ] , [ 2, 57, 55, 32 ] , [ 23, 56, 8, 39 ] , [ 31, 46, 50, 35 ] , [ 32, 39, 41, 2 ] , [ 33, 32, 32, 33 ] , [ 49, 48, 16, 17 ] , [ 55, 40, 24, 7 ] , [ 57, 56, 8, 9 ] , [ 59, 26, 6, 7 ] , [ 61, 28, 36, 5 ] , [ 63, 14, 18, 3 ] 384 1 48 0 0 [ 1, 32, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 9, 36, 16, 57 ] , [ 17, 8, 32, 49 ] , [ 21, 50, 8, 13 ] , [ 25, 20, 48, 41 ] , [ 33, 16, 0, 33 ] , [ 33, 32, 0, 33 ] , [ 43, 14, 56, 51 ] , [ 45, 14, 56, 53 ] , [ 57, 8, 48, 9 ] , [ 61, 34, 24, 5 ] Name Index con len c2 c3 SL(2,Z/65Z) Matrix Generators 280 1 140 8 4 [ 14, 0, 0, 14 ] , [ 16, 15, 0, 61 ] , [ 31, 13, 56, 34 ] , [ 41, 30, 55, 26 ] , [ 53, 39, 13, 1 ] , [ 64, 0, 0, 64 ] Name Index con len c2 c3 SL(2,Z/66Z) Matrix Generators 288 1 144 0 0 [ 1, 0, 33, 1 ] , [ 7, 18, 42, 61 ] , [ 23, 44, 22, 45 ] , [ 31, 48, 42, 31 ] , [ 65, 0, 33, 65 ] 330 1 55 36 0 [ 0, 1, 65, 0 ] , [ 1, 22, 22, 23 ] , [ 1, 33, 33, 34 ] , [ 13, 24, 24, 19 ] , [ 23, 0, 0, 23 ] , [ 24, 41, 31, 42 ] , [ 25, 18, 18, 13 ] , [ 31, 24, 3, 13 ] , [ 43, 0, 0, 43 ] , [ 45, 22, 44, 45 ] , [ 47, 46, 46, 31 ] Name Index con len c2 c3 SL(2,Z/68Z) Matrix Generators 288 1 72 16 0 [ 1, 0, 16, 1 ] , [ 1, 34, 17, 35 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 47, 0, 28, 55 ] , [ 52, 17, 51, 35 ] 288 2 18 16 0 [ 1, 0, 40, 1 ] , [ 1, 34, 34, 1 ] , [ 1, 51, 51, 18 ] , [ 13, 0, 3, 21 ] , [ 13, 0, 35, 21 ] , [ 21, 17, 2, 47 ] , [ 33, 0, 6, 33 ] , [ 35, 34, 0, 35 ] Name Index con len c2 c3 SL(2,Z/70Z) Matrix Generators 210 1 105 0 0 [ 26, 25, 65, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 56, 15 ] , [ 29, 56, 28, 1 ] , [ 31, 55, 45, 46 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 40, 20, 61 ] 210 2 35 0 0 [ 1, 14, 42, 29 ] , [ 9, 16, 8, 61 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 51, 60, 0, 11 ] , [ 61, 30, 50, 51 ] 210 2 35 0 0 [ 1, 14, 42, 29 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 51, 0, 30, 11 ] , [ 51, 30, 50, 61 ] , [ 51, 40, 20, 61 ] 240 1 240 0 0 [ 1, 0, 35, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 11, 0, 40, 51 ] , [ 29, 0, 60, 29 ] , [ 29, 42, 52, 15 ] , [ 41, 0, 35, 41 ] , [ 57, 0, 26, 43 ] 252 2 126 4 0 [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 21, 43 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 57, 42, 42, 15 ] 252 2 126 8 0 [ 11, 50, 60, 31 ] , [ 16, 15, 45, 16 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 41, 3, 24 ] , [ 57, 42, 42, 15 ] 252 2 126 8 0 [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 36, 61, 13 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 57, 42, 42, 15 ] 252 2 252 8 0 [ 1, 5, 20, 31 ] , [ 11, 50, 60, 31 ] , [ 21, 60, 40, 21 ] , [ 26, 35, 5, 31 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 14, 14, 29 ] , [ 43, 42, 0, 57 ] 280 2 70 16 4 [ 21, 10, 30, 21 ] , [ 21, 60, 40, 21 ] , [ 22, 5, 55, 38 ] , [ 31, 20, 10, 11 ] , [ 36, 35, 35, 1 ] , [ 39, 10, 0, 9 ] , [ 41, 0, 0, 41 ] , [ 57, 14, 42, 57 ] , [ 61, 10, 0, 31 ] 288 1 144 0 0 [ 1, 0, 60, 1 ] , [ 1, 35, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 0, 40, 11 ] Name Index con len c2 c3 SL(2,Z/72Z) Matrix Generators 216 1 9 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 58, 40, 17 ] , [ 7, 24, 0, 31 ] , [ 11, 32, 44, 43 ] , [ 13, 39, 18, 43 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 68, 1 ] , [ 41, 20, 68, 49 ] , [ 49, 48, 0, 25 ] , [ 61, 60, 0, 13 ] 216 1 9 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 24, 0, 31 ] , [ 17, 0, 0, 17 ] , [ 17, 11, 62, 19 ] , [ 17, 20, 8, 1 ] , [ 25, 54, 60, 49 ] , [ 49, 48, 0, 25 ] , [ 59, 20, 32, 67 ] , [ 61, 60, 0, 13 ] , [ 65, 32, 8, 25 ] 216 1 27 0 0 [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ] 216 1 27 0 0 [ 1, 36, 0, 1 ] , [ 17, 48, 24, 17 ] , [ 19, 30, 60, 19 ] , [ 25, 16, 16, 65 ] , [ 35, 55, 70, 1 ] , [ 37, 36, 0, 37 ] , [ 41, 30, 12, 65 ] , [ 47, 24, 24, 23 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 71, 1, 34, 37 ] 216 1 27 0 0 [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 29, 28, 52, 13 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] 216 1 54 0 0 [ 1, 36, 36, 1 ] , [ 9, 8, 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 0 0 [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 5, 36, 24, 29 ] , [ 21, 22, 20, 45 ] , [ 23, 60, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 25, 52, 16, 65 ] , [ 37, 36, 0, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 9, 18, 37 ] , [ 61, 2, 68, 53 ] 216 2 27 0 0 [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 7, 14, 27 ] , [ 17, 16, 40, 25 ] , [ 17, 46, 52, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 47, 6, 60, 23 ] , [ 49, 24, 24, 25 ] 216 2 27 0 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 ] , [ 37, 57, 6, 19 ] , [ 41, 48, 48, 65 ] , [ 43, 20, 68, 35 ] , [ 49, 62, 56, 65 ] , [ 55, 42, 12, 55 ] , [ 55, 48, 24, 55 ] 216 2 27 0 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 56, 32, 17 ] , [ 37, 24, 48, 37 ] , [ 37, 59, 62, 23 ] , [ 41, 48, 48, 65 ] , [ 47, 10, 52, 31 ] , [ 55, 48, 24, 55 ] , [ 59, 51, 54, 65 ] , [ 71, 21, 42, 53 ] 216 2 27 0 0 [ 1, 36, 0, 1 ] , [ 5, 26, 8, 13 ] , [ 5, 44, 44, 13 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 41, 8, 44, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ] 216 2 54 0 0 [ 1, 32, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 19, 36, 0, 19 ] , [ 25, 20, 32, 17 ] , [ 25, 60, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 18, 55 ] , [ 37, 46, 52, 53 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] 288 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 36, 36, 19 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 36, 35 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 64, 0, 25 ] 288 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 54, 36, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 36, 35 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 64, 0, 25 ] 288 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 63, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 56, 30, 25 ] , [ 25, 40, 24, 1 ] , [ 35, 40, 15, 11 ] , [ 37, 0, 36, 37 ] , [ 47, 64, 42, 71 ] , [ 49, 0, 0, 25 ] 288 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 48, 0, 1 ] , [ 19, 36, 27, 55 ] , [ 25, 0, 0, 49 ] , [ 25, 56, 24, 25 ] , [ 29, 12, 27, 41 ] , [ 37, 0, 18, 37 ] , [ 37, 0, 36, 37 ] , [ 49, 24, 0, 25 ] , [ 49, 56, 24, 1 ] 288 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 24, 0, 1 ] , [ 17, 42, 27, 71 ] , [ 25, 0, 0, 49 ] , [ 25, 24, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 63, 19 ] , [ 43, 6, 45, 13 ] , [ 49, 16, 0, 25 ] , [ 55, 0, 0, 55 ] 288 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 24, 0, 1 ] , [ 19, 18, 45, 1 ] , [ 25, 0, 0, 49 ] , [ 25, 24, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 54, 63, 55 ] , [ 41, 30, 27, 11 ] , [ 49, 16, 0, 25 ] , [ 55, 0, 0, 55 ] 288 1 24 24 0 [ 1, 45, 9, 46 ] , [ 1, 48, 24, 1 ] , [ 17, 60, 48, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 24, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 44, 71, 65, 28 ] , [ 55, 0, 36, 55 ] , [ 71, 0, 0, 71 ] 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 13, 54, 36, 61 ] , [ 17, 3, 54, 35 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 0, 49 ] , [ 49, 0, 0, 25 ] , [ 49, 32, 0, 25 ] , [ 53, 16, 0, 53 ] , [ 55, 9, 18, 37 ] 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 1, 54, 49 ] , [ 19, 54, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 32, 0, 49 ] , [ 55, 0, 0, 55 ] , [ 55, 9, 54, 1 ] , [ 71, 53, 54, 17 ] 288 1 48 24 0 [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 13, 32, 56, 5 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 48, 49 ] , [ 28, 27, 45, 28 ] , [ 49, 24, 0, 25 ] , [ 49, 56, 32, 41 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] 288 2 12 24 0 [ 1, 36, 36, 1 ] , [ 10, 27, 27, 37 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 49, 24, 24, 25 ] , [ 52, 31, 1, 20 ] , [ 65, 24, 24, 41 ] , [ 71, 36, 36, 71 ] 432 1 18 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 48, 15, 1 ] , [ 1, 48, 36, 1 ] , [ 1, 48, 48, 1 ] , [ 17, 36, 12, 17 ] , [ 17, 60, 30, 17 ] , [ 19, 36, 3, 55 ] , [ 37, 0, 36, 37 ] , [ 53, 12, 36, 53 ] 432 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 48, 18, 1 ] , [ 19, 36, 27, 55 ] , [ 25, 40, 36, 49 ] , [ 25, 64, 36, 49 ] , [ 35, 0, 36, 35 ] , [ 37, 0, 36, 37 ] , [ 49, 8, 0, 25 ] , [ 53, 36, 36, 53 ] Name Index con len c2 c3 SL(2,Z/74Z) Matrix Generators 228 1 38 0 0 [ 7, 20, 0, 53 ] , [ 9, 36, 52, 19 ] , [ 13, 72, 72, 63 ] , [ 19, 24, 10, 1 ] , [ 47, 52, 0, 63 ] 228 1 76 0 0 [ 7, 56, 34, 29 ] , [ 16, 55, 13, 17 ] , [ 19, 34, 34, 57 ] , [ 52, 71, 55, 31 ] , [ 73, 0, 0, 73 ] Name Index con len c2 c3 SL(2,Z/75Z) Matrix Generators 240 1 24 0 0 [ 1, 0, 25, 1 ] , [ 10, 72, 27, 37 ] , [ 26, 0, 0, 26 ] , [ 46, 60, 60, 31 ] , [ 61, 60, 0, 16 ] , [ 64, 30, 60, 34 ] 240 1 24 0 0 [ 1, 0, 25, 1 ] , [ 1, 0, 50, 1 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 0, 26 ] , [ 31, 15, 15, 46 ] , [ 37, 3, 33, 25 ] , [ 61, 60, 0, 16 ] 240 1 24 0 0 [ 1, 0, 25, 1 ] , [ 1, 0, 50, 1 ] , [ 19, 30, 40, 4 ] , [ 26, 0, 0, 26 ] , [ 40, 27, 27, 52 ] , [ 46, 60, 60, 31 ] , [ 61, 60, 0, 16 ] 240 1 24 0 0 [ 1, 0, 25, 1 ] , [ 19, 30, 15, 4 ] , [ 26, 0, 50, 26 ] , [ 61, 30, 30, 16 ] , [ 61, 60, 0, 16 ] , [ 73, 66, 36, 49 ] 360 1 90 8 0 [ 9, 43, 71, 6 ] , [ 16, 45, 45, 61 ] , [ 19, 69, 54, 58 ] , [ 26, 0, 0, 26 ] , [ 31, 30, 0, 46 ] , [ 59, 60, 0, 14 ] 480 1 24 0 0 [ 1, 0, 25, 1 ] , [ 1, 0, 50, 1 ] , [ 16, 0, 15, 61 ] , [ 19, 69, 54, 58 ] , [ 35, 48, 48, 38 ] , [ 46, 60, 60, 31 ] Name Index con len c2 c3 SL(2,Z/76Z) Matrix Generators 240 1 60 0 0 [ 1, 0, 38, 1 ] , [ 9, 4, 60, 69 ] , [ 17, 8, 44, 61 ] , [ 21, 48, 36, 57 ] , [ 25, 4, 44, 1 ] , [ 31, 72, 16, 47 ] , [ 33, 16, 12, 45 ] , [ 49, 0, 68, 45 ] , [ 53, 16, 28, 73 ] Name Index con len c2 c3 SL(2,Z/78Z) Matrix Generators 252 1 126 4 0 [ 13, 42, 69, 67 ] , [ 15, 10, 74, 39 ] , [ 19, 24, 6, 61 ] , [ 25, 60, 48, 31 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 77, 6, 60, 29 ] 252 1 126 8 0 [ 19, 24, 6, 61 ] , [ 19, 76, 19, 35 ] , [ 25, 60, 48, 31 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 73, 44, 50, 59 ] , [ 77, 6, 60, 29 ] Name Index con len c2 c3 SL(2,Z/80Z) Matrix Generators 240 1 30 0 0 [ 11, 30, 50, 71 ] , [ 17, 32, 64, 17 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 32, 17 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 51, 50, 70, 31 ] , [ 61, 60, 20, 21 ] 240 1 30 8 0 [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 16 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 16, 17 ] , [ 31, 40, 40, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 71, 60, 60, 71 ] , [ 76, 75, 45, 36 ] 240 1 60 0 0 [ 11, 30, 50, 71 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 16 ] , [ 33, 0, 32, 17 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 56, 55, 25, 46 ] 240 1 60 0 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 25, 56, 24, 25 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 41, 40, 75, 1 ] , [ 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 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 41, 40, 75, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 20, 21 ] , [ 65, 16, 64, 65 ] 240 1 60 4 0 [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 16 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 20, 61 ] , [ 31, 40, 40, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 71, 60, 60, 71 ] 240 1 60 4 0 [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 16 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 20, 61 ] , [ 31, 40, 40, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 76, 25, 55, 76 ] 240 1 60 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 15, 54, 21, 65 ] , [ 21, 78, 13, 75 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 71, 30, 5, 1 ] 240 1 60 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 21, 78, 13, 75 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 65, 64, 16, 65 ] , [ 71, 30, 5, 1 ] 240 1 60 8 0 [ 12, 19, 5, 68 ] , [ 17, 32, 64, 17 ] , [ 31, 0, 0, 31 ] , [ 31, 40, 40, 31 ] , [ 33, 16, 0, 17 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 57, 18, 66, 77 ] , [ 61, 20, 20, 21 ] 240 1 120 2 0 [ 1, 20, 20, 1 ] , [ 1, 40, 0, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 44, 48, 33 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 76 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 64, 17 ] , [ 31, 20, 60, 31 ] , [ 49, 0, 0, 49 ] 240 1 120 2 0 [ 1, 20, 20, 1 ] , [ 1, 40, 0, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 76 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 64, 17 ] , [ 31, 20, 60, 31 ] , [ 41, 4, 8, 73 ] , [ 49, 0, 0, 49 ] 240 1 120 4 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 11, 40, 20, 51 ] , [ 25, 56, 64, 25 ] , [ 31, 50, 45, 21 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 40, 41 ] , [ 41, 40, 70, 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 ] , [ 11, 40, 20, 51 ] , [ 31, 10, 5, 61 ] , [ 31, 50, 55, 1 ] , [ 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 1 120 8 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 ] , [ 61, 50, 35, 51 ] , [ 71, 30, 5, 1 ] 240 1 120 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 21, 78, 13, 75 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 50, 35, 51 ] , [ 65, 64, 16, 65 ] , [ 71, 30, 5, 1 ] 240 2 30 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 11, 40, 20, 51 ] , [ 15, 2, 77, 21 ] , [ 17, 0, 46, 33 ] , [ 21, 0, 60, 61 ] , [ 41, 0, 40, 41 ] , [ 45, 44, 76, 5 ] , [ 49, 0, 60, 49 ] , [ 65, 48, 48, 49 ] 240 2 30 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 11, 40, 20, 51 ] , [ 21, 0, 60, 61 ] , [ 31, 50, 45, 21 ] , [ 41, 0, 40, 41 ] , [ 45, 28, 18, 29 ] , [ 49, 0, 60, 49 ] , [ 65, 48, 48, 49 ] , [ 77, 60, 76, 53 ] 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 ] , [ 65, 48, 48, 49 ] , [ 65, 64, 31, 65 ] 240 2 60 8 0 [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 11, 40, 20, 51 ] , [ 15, 2, 77, 21 ] , [ 15, 54, 21, 65 ] , [ 17, 0, 46, 33 ] , [ 21, 0, 60, 61 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 60, 49 ] , [ 65, 48, 48, 49 ] 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 9, 50, 70, 69 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 40, 49 ] , [ 65, 32, 32, 17 ] 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 17, 32, 40, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 51, 2, 14, 79 ] , [ 59, 70, 10, 39 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 11, 30, 10, 71 ] , [ 17, 64, 64, 1 ] , [ 21, 20, 60, 61 ] , [ 33, 16, 16, 49 ] , [ 34, 63, 41, 36 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 30, 21 ] , [ 59, 10, 70, 39 ] 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 4, 63, 41, 46 ] , [ 11, 30, 10, 71 ] , [ 17, 64, 64, 1 ] , [ 21, 20, 60, 61 ] , [ 33, 16, 16, 49 ] , [ 34, 63, 41, 76 ] , [ 41, 40, 40, 41 ] , [ 59, 10, 70, 39 ] 288 1 36 0 0 [ 11, 30, 50, 71 ] , [ 17, 32, 0, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 51, 30, 50, 31 ] , [ 51, 50, 70, 31 ] , [ 65, 32, 32, 17 ] 288 1 36 16 0 [ 0, 69, 51, 40 ] , [ 1, 40, 40, 1 ] , [ 17, 48, 48, 65 ] , [ 21, 20, 20, 61 ] , [ 31, 40, 40, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 71, 60, 60, 71 ] , [ 74, 21, 63, 6 ] 288 1 36 16 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 17, 48, 48, 65 ] , [ 33, 16, 16, 49 ] , [ 46, 79, 37, 34 ] , [ 49, 0, 0, 49 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 44, 44, 13 ] , [ 71, 60, 60, 71 ] , [ 79, 0, 0, 79 ] 288 1 36 16 0 [ 1, 40, 40, 1 ] , [ 16, 37, 19, 64 ] , [ 17, 48, 48, 65 ] , [ 17, 64, 64, 1 ] , [ 29, 4, 4, 53 ] , [ 33, 16, 16, 49 ] , [ 49, 0, 0, 49 ] , [ 57, 8, 8, 25 ] , [ 59, 66, 18, 31 ] , [ 65, 32, 32, 17 ] , [ 71, 60, 60, 71 ] , [ 79, 0, 0, 79 ] 288 1 36 16 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 32, 37, 35, 48 ] , [ 41, 0, 0, 41 ] , [ 44, 49, 79, 28 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 72, 57, 55, 8 ] , [ 79, 40, 40, 79 ] 288 1 36 16 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 17, 0, 32, 33 ] , [ 32, 37, 35, 48 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 72, 57, 55, 8 ] , [ 79, 40, 40, 79 ] 288 1 36 16 0 [ 1, 40, 40, 1 ] , [ 16, 77, 59, 24 ] , [ 27, 58, 58, 15 ] , [ 33, 16, 16, 49 ] , [ 36, 27, 29, 44 ] , [ 48, 45, 43, 32 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 4, 4, 13 ] , [ 79, 0, 0, 79 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 47, 9, 4 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 2, 54, 79 ] , [ 61, 20, 60, 21 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 47, 9, 44 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 56 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 56 ] , [ 66, 79, 17, 64 ] 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 1, 64, 32, 49 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 56 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 44, 49, 79, 28 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 72, 57, 55, 8 ] , [ 79, 40, 40, 79 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 17, 0, 32, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 72, 57, 55, 8 ] , [ 79, 40, 40, 79 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 23, 62, 2, 75 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 63, 61, 6 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 10, 11 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 33, 32, 32, 65 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 63, 61, 46 ] , [ 61, 60, 20, 21 ] , [ 64, 13, 11, 16 ] , [ 65, 32, 32, 17 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 17, 48, 48, 65 ] , [ 25, 32, 32, 57 ] , [ 28, 37, 67, 40 ] , [ 33, 32, 32, 65 ] , [ 49, 64, 64, 33 ] , [ 53, 16, 16, 29 ] , [ 54, 63, 21, 66 ] , [ 63, 36, 76, 79 ] , [ 65, 32, 32, 17 ] , [ 79, 0, 0, 79 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 17, 48, 48, 65 ] , [ 25, 32, 32, 57 ] , [ 31, 74, 22, 19 ] , [ 33, 32, 32, 65 ] , [ 49, 64, 64, 33 ] , [ 53, 16, 16, 29 ] , [ 54, 63, 21, 66 ] , [ 63, 36, 76, 79 ] , [ 65, 32, 32, 17 ] , [ 79, 0, 0, 79 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 44, 49, 79, 28 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 79, 40, 40, 79 ] 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 12, 17, 15, 68 ] , [ 17, 0, 32, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 79, 40, 40, 79 ] 288 1 72 16 0 [ 1, 40, 40, 1 ] , [ 14, 31, 53, 66 ] , [ 16, 77, 59, 24 ] , [ 33, 16, 16, 49 ] , [ 48, 45, 43, 32 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 4, 4, 13 ] , [ 71, 60, 60, 71 ] , [ 79, 0, 0, 79 ] 288 1 72 16 0 [ 16, 37, 19, 24 ] , [ 17, 48, 48, 65 ] , [ 21, 20, 20, 61 ] , [ 27, 34, 74, 31 ] , [ 31, 0, 0, 31 ] , [ 31, 40, 40, 31 ] , [ 39, 60, 20, 39 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] 288 1 72 16 0 [ 16, 5, 35, 56 ] , [ 17, 48, 48, 65 ] , [ 21, 20, 20, 61 ] , [ 31, 0, 0, 31 ] , [ 31, 40, 40, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 53, 66, 66, 49 ] , [ 75, 66, 74, 15 ] 288 1 72 16 0 [ 1, 40, 40, 1 ] , [ 16, 77, 59, 64 ] , [ 31, 74, 42, 59 ] , [ 33, 16, 16, 49 ] , [ 43, 42, 42, 15 ] , [ 49, 0, 0, 49 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 4, 4, 13 ] , [ 79, 0, 0, 79 ] 288 1 72 16 0 [ 1, 40, 40, 1 ] , [ 21, 20, 20, 61 ] , [ 29, 26, 18, 41 ] , [ 31, 40, 40, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ] , [ 76, 35, 5, 76 ] , [ 77, 58, 58, 25 ] 288 1 72 16 0 [ 1, 32, 64, 49 ] , [ 4, 35, 5, 44 ] , [ 17, 48, 48, 65 ] , [ 21, 20, 20, 61 ] , [ 22, 39, 29, 26 ] , [ 31, 0, 0, 31 ] , [ 31, 40, 40, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] 288 1 144 4 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 12, 57, 55, 68 ] , [ 17, 48, 48, 65 ] , [ 44, 49, 79, 28 ] , [ 49, 0, 0, 49 ] , [ 79, 40, 40, 79 ] 288 1 144 4 0 [ 1, 0, 40, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 12, 17, 15, 28 ] , [ 17, 48, 48, 65 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 57, 0, 72, 73 ] , [ 79, 40, 40, 79 ] 288 1 144 4 0 [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 12, 17, 15, 28 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 48, 65 ] , [ 49, 0, 0, 49 ] , [ 79, 40, 40, 79 ] 288 1 144 4 0 [ 1, 0, 40, 1 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 12, 17, 15, 8 ] , [ 12, 57, 55, 68 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 48, 65 ] , [ 49, 0, 0, 49 ] , [ 79, 40, 40, 79 ] 288 2 18 16 0 [ 1, 40, 40, 1 ] , [ 11, 26, 26, 47 ] , [ 16, 77, 59, 64 ] , [ 27, 58, 18, 15 ] , [ 33, 16, 16, 49 ] , [ 37, 58, 58, 65 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 4, 4, 13 ] , [ 79, 0, 0, 79 ] 288 2 36 0 0 [ 9, 50, 70, 69 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 68, 17 ] , [ 33, 16, 16, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 68, 56, 1 ] , [ 71, 60, 20, 71 ] 288 2 36 0 0 [ 1, 40, 40, 1 ] , [ 9, 50, 70, 69 ] , [ 16, 47, 49, 74 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 40, 49 ] , [ 61, 20, 60, 21 ] 288 2 72 8 0 [ 17, 48, 48, 65 ] , [ 17, 68, 68, 65 ] , [ 21, 60, 20, 61 ] , [ 33, 56, 56, 49 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 60, 49, 31, 60 ] , [ 65, 32, 32, 17 ] , [ 76, 1, 31, 32 ] , [ 79, 40, 40, 79 ] Name Index con len c2 c3 SL(2,Z/82Z) Matrix Generators 252 1 126 4 0 [ 1, 0, 41, 1 ] , [ 5, 4, 36, 29 ] , [ 7, 50, 78, 77 ] , [ 27, 80, 10, 57 ] , [ 71, 58, 2, 49 ] , [ 73, 72, 76, 57 ] Name Index con len c2 c3 SL(2,Z/84Z) Matrix Generators 224 2 112 0 2 [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 23, 75, 66, 29 ] , [ 29, 0, 0, 29 ] , [ 43, 0, 0, 43 ] , [ 49, 12, 60, 49 ] , [ 61, 36, 72, 37 ] 224 2 112 0 2 [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 43, 0, 0, 43 ] , [ 49, 12, 60, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 63, 42, 29 ] 224 2 112 0 2 [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 24, 1 ] , [ 43, 0, 0, 43 ] , [ 49, 12, 60, 49 ] , [ 61, 36, 72, 37 ] 252 2 21 12 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 57, 56, 70, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ] 252 2 42 12 0 [ 1, 56, 56, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 12, 49 ] , [ 13, 67, 54, 7 ] , [ 29, 0, 0, 29 ] , [ 43, 42, 0, 43 ] , [ 49, 38, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 73, 24, 48, 25 ] 252 2 63 8 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 26, 47, 25 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ] 252 2 63 8 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] 252 2 63 12 0 [ 1, 0, 42, 1 ] , [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 43, 42, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 45, 68, 40, 81 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 7, 57 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 26, 47, 25 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 16, 4, 41 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 15, 14, 7, 57 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 47, 58, 67, 13 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 12, 24, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 14, 14, 43 ] , [ 71, 70, 7, 1 ] 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 12, 24, 61 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] 256 1 128 0 4 [ 1, 14, 21, 43 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 63, 22 ] , [ 41, 56, 0, 41 ] , [ 43, 0, 0, 43 ] , [ 61, 40, 12, 1 ] , [ 61, 48, 72, 25 ] 256 1 128 0 4 [ 1, 56, 0, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 14, 21, 55 ] , [ 41, 56, 0, 41 ] , [ 43, 0, 0, 43 ] , [ 61, 40, 12, 1 ] , [ 61, 48, 72, 25 ] 256 1 128 0 4 [ 1, 56, 0, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 29, 56, 0, 29 ] , [ 43, 0, 0, 43 ] , [ 61, 40, 12, 1 ] , [ 61, 48, 72, 25 ] Name Index con len c2 c3 SL(2,Z/87Z) Matrix Generators 240 1 120 0 0 [ 1, 58, 0, 1 ] , [ 43, 66, 42, 22 ] , [ 59, 58, 0, 59 ] , [ 67, 84, 60, 22 ] , [ 82, 36, 15, 31 ] Name Index con len c2 c3 SL(2,Z/88Z) Matrix Generators 288 1 72 0 0 [ 15, 8, 59, 55 ] , [ 17, 16, 72, 73 ] , [ 17, 24, 8, 1 ] , [ 25, 24, 31, 65 ] , [ 33, 32, 56, 57 ] , [ 41, 80, 34, 17 ] , [ 49, 48, 84, 41 ] , [ 53, 8, 36, 37 ] , [ 57, 56, 32, 33 ] , [ 73, 72, 16, 17 ] Name Index con len c2 c3 SL(2,Z/90Z) Matrix Generators 216 1 18 0 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 49, 82, 64, 41 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] , [ 89, 57, 24, 71 ] 216 1 18 0 0 [ 1, 45, 45, 46 ] , [ 1, 60, 30, 1 ] , [ 19, 0, 0, 19 ] , [ 61, 0, 60, 31 ] , [ 61, 40, 10, 11 ] , [ 71, 60, 30, 71 ] , [ 73, 54, 54, 19 ] , [ 79, 72, 24, 31 ] 216 1 36 0 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 ] , [ 81, 40, 20, 81 ] 216 1 54 0 0 [ 1, 45, 45, 46 ] , [ 1, 60, 30, 1 ] , [ 19, 0, 0, 19 ] , [ 51, 80, 10, 51 ] , [ 61, 0, 60, 31 ] , [ 61, 40, 10, 11 ] , [ 71, 60, 30, 71 ] , [ 73, 54, 54, 19 ] 216 1 54 0 0 [ 1, 45, 45, 46 ] , [ 1, 60, 30, 1 ] , [ 9, 32, 34, 51 ] , [ 19, 0, 0, 19 ] , [ 61, 0, 60, 31 ] , [ 61, 40, 10, 11 ] , [ 71, 60, 30, 71 ] , [ 73, 54, 54, 19 ] 216 1 54 0 0 [ 1, 54, 54, 37 ] , [ 11, 0, 30, 41 ] , [ 11, 30, 0, 41 ] , [ 19, 36, 36, 73 ] , [ 31, 15, 15, 16 ] , [ 31, 40, 70, 41 ] , [ 49, 35, 80, 59 ] , [ 61, 0, 60, 31 ] , [ 61, 30, 30, 31 ] 216 1 108 0 0 [ 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 ] , [ 61, 40, 85, 41 ] , [ 81, 40, 20, 81 ] 216 2 54 0 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 ] , [ 69, 2, 4, 81 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] 216 2 54 0 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 51, 65, 40, 81 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] 216 2 54 0 0 [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 41, 70, 70, 1 ] , [ 51, 65, 40, 81 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] 216 2 54 0 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, 80, 71 ] , [ 79, 72, 24, 31 ] 240 1 40 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 45, 45, 46 ] , [ 14, 45, 45, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 45, 37 ] 240 1 40 0 0 [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 45, 45, 46 ] , [ 14, 45, 45, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 0, 37 ] 240 1 40 0 6 [ 1, 0, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 60, 40, 61 ] , [ 14, 45, 45, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 45, 37 ] 240 1 40 0 6 [ 1, 0, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 60, 40, 61 ] , [ 14, 45, 45, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 0, 37 ] 270 1 135 20 0 [ 1, 45, 45, 46 ] , [ 13, 69, 60, 7 ] , [ 31, 0, 30, 61 ] , [ 41, 30, 30, 11 ] , [ 51, 70, 50, 21 ] , [ 61, 30, 30, 31 ] , [ 64, 45, 45, 19 ] , [ 71, 50, 50, 1 ] , [ 76, 3, 81, 34 ] 288 1 24 0 0 [ 19, 36, 36, 73 ] , [ 21, 80, 40, 71 ] , [ 31, 0, 30, 61 ] , [ 31, 30, 60, 61 ] , [ 31, 60, 0, 61 ] , [ 46, 45, 45, 1 ] , [ 69, 5, 40, 59 ] , [ 69, 70, 20, 19 ] 288 1 24 0 0 [ 11, 75, 15, 86 ] , [ 46, 45, 45, 1 ] , [ 55, 18, 18, 37 ] , [ 61, 0, 60, 31 ] , [ 61, 54, 24, 67 ] , [ 61, 60, 30, 31 ] , [ 79, 30, 0, 49 ] , [ 81, 80, 10, 11 ] 288 1 48 0 0 [ 1, 54, 54, 37 ] , [ 1, 60, 60, 1 ] , [ 8, 19, 89, 9 ] , [ 11, 40, 20, 81 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 30, 61 ] , [ 61, 0, 60, 31 ] , [ 65, 18, 48, 77 ] Name Index con len c2 c3 SL(2,Z/93Z) Matrix Generators 256 1 128 0 4 [ 1, 0, 62, 1 ] , [ 7, 84, 66, 88 ] , [ 40, 57, 15, 40 ] , [ 46, 15, 48, 46 ] , [ 92, 0, 31, 92 ] Name Index con len c2 c3 SL(2,Z/95Z) Matrix Generators 240 1 120 0 0 [ 37, 57, 57, 75 ] , [ 41, 10, 50, 91 ] , [ 58, 19, 19, 39 ] , [ 58, 38, 38, 20 ] , [ 61, 40, 5, 36 ] , [ 91, 25, 30, 26 ] Name Index con len c2 c3 SL(2,Z/96Z) Matrix Generators 288 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 64, 64, 65 ] , [ 25, 0, 24, 73 ] , [ 33, 64, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 95, 0, 0, 95 ] 288 1 12 24 0 [ 0, 1, 95, 0 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 12, 37 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 12 24 0 [ 0, 1, 95, 0 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 13, 0, 0, 37 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 12 24 0 [ 0, 1, 95, 0 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 24 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 12, 49 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 48, 48, 85 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 73, 0, 0, 25 ] , [ 95, 0, 0, 95 ] 288 1 24 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 0, 48, 85 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 73, 0, 0, 25 ] , [ 95, 0, 0, 95 ] 288 1 24 24 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 25, 0, 0, 73 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 92, 38, 5 ] 288 1 24 24 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 13, 92, 14, 77 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 92, 14, 5 ] 288 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 64, 17, 57 ] , [ 25, 0, 72, 73 ] , [ 41, 48, 33, 41 ] , [ 45, 64, 17, 69 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 95, 0, 0, 95 ] 288 1 36 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 ] , [ 45, 64, 17, 69 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 95, 0, 0, 95 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 16, 64, 65 ] , [ 25, 0, 24, 73 ] , [ 33, 64, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 16, 64, 1 ] , [ 95, 0, 0, 95 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 48, 1 ] , [ 33, 32, 64, 33 ] , [ 33, 64, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 0, 24, 65 ] , [ 85, 16, 52, 29 ] , [ 89, 0, 72, 41 ] , [ 95, 0, 0, 95 ] 288 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 48, 1 ] , [ 33, 32, 64, 33 ] , [ 33, 64, 83, 33 ] , [ 37, 64, 52, 77 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 0, 24, 65 ] , [ 89, 0, 72, 41 ] , [ 95, 0, 0, 95 ] 288 1 36 24 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 25, 24, 24, 73 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 12, 37 ] , [ 61, 92, 92, 5 ] , [ 65, 0, 0, 65 ] , [ 93, 28, 92, 69 ] , [ 95, 0, 0, 95 ] 288 1 36 24 0 [ 0, 1, 95, 0 ] , [ 1, 20, 20, 17 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 13, 0, 0, 37 ] , [ 25, 24, 24, 73 ] , [ 33, 52, 20, 81 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 36 24 0 [ 1, 0, 48, 1 ] , [ 1, 24, 12, 1 ] , [ 1, 48, 24, 1 ] , [ 43, 22, 73, 53 ] , [ 49, 48, 72, 49 ] , [ 55, 94, 25, 41 ] , [ 65, 0, 0, 65 ] , [ 73, 24, 84, 25 ] , [ 95, 0, 0, 95 ] , [ 95, 2, 23, 49 ] , [ 95, 66, 63, 65 ] 288 1 36 24 0 [ 1, 0, 48, 1 ] , [ 1, 24, 12, 1 ] , [ 1, 48, 24, 1 ] , [ 43, 22, 73, 53 ] , [ 49, 48, 72, 49 ] , [ 55, 94, 25, 41 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 73, 24, 84, 25 ] , [ 95, 0, 0, 95 ] , [ 95, 2, 23, 49 ] 288 1 36 24 0 [ 0, 1, 95, 0 ] , [ 1, 20, 20, 17 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 52, 20, 81 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] 288 1 72 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 41, 48, 90, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 0, 72, 49 ] , [ 49, 0, 84, 49 ] , [ 53, 48, 45, 77 ] , [ 53, 48, 84, 29 ] , [ 73, 0, 24, 25 ] , [ 93, 40, 89, 93 ] , [ 95, 0, 0, 95 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 78, 1 ] , [ 25, 48, 48, 73 ] , [ 35, 62, 95, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 83, 78, 63, 65 ] , [ 85, 72, 24, 61 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 60, 1 ] , [ 25, 48, 48, 73 ] , [ 35, 62, 95, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 83, 14, 41, 37 ] , [ 83, 78, 63, 65 ] , [ 85, 72, 24, 61 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 78, 1 ] , [ 25, 48, 48, 73 ] , [ 35, 62, 95, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 72, 24, 61 ] 288 1 72 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 60, 1 ] , [ 25, 48, 48, 73 ] , [ 35, 62, 95, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 83, 14, 41, 37 ] , [ 85, 72, 24, 61 ] 288 1 72 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 12, 49 ] , [ 33, 80, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 48, 48, 85 ] , [ 65, 0, 0, 65 ] , [ 65, 16, 64, 1 ] , [ 73, 0, 0, 25 ] , [ 95, 0, 0, 95 ] 288 1 72 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 29, 16, 16, 85 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 0, 48, 85 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 0, 65 ] , [ 73, 0, 0, 25 ] , [ 93, 80, 16, 21 ] , [ 95, 0, 0, 95 ] 288 1 72 24 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 92, 14, 77 ] , [ 21, 92, 70, 69 ] , [ 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 72 24 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 13, 92, 14, 77 ] , [ 21, 92, 70, 69 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 92, 14, 5 ] 288 2 12 24 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 25, 0, 24, 73 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 65, 32, 32, 1 ] , [ 85, 92, 14, 5 ] 288 2 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 51, 1 ] , [ 5, 16, 91, 61 ] , [ 33, 16, 35, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 0, 24, 65 ] , [ 89, 0, 72, 41 ] , [ 95, 0, 0, 95 ] 288 2 36 24 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 7, 44, 50, 95 ] , [ 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 ] 288 2 36 24 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 21, 92, 70, 69 ] , [ 25, 0, 24, 73 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 92, 14, 5 ] 288 2 36 24 0 [ 1, 0, 48, 1 ] , [ 1, 4, 46, 89 ] , [ 1, 48, 72, 1 ] , [ 7, 34, 31, 41 ] , [ 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 ] 288 2 36 24 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 ] , [ 55, 70, 37, 89 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] 384 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 21, 94 ] , [ 7, 54, 42, 91 ] , [ 13, 12, 84, 85 ] , [ 29, 54, 90, 65 ] , [ 34, 93, 75, 16 ] , [ 49, 48, 48, 49 ] , [ 67, 42, 6, 31 ] , [ 73, 72, 24, 25 ] 384 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 21, 94 ] , [ 7, 54, 42, 91 ] , [ 16, 93, 75, 94 ] , [ 29, 6, 42, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 12, 84, 37 ] , [ 73, 72, 24, 25 ] 384 1 48 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 7, 6, 90, 91 ] , [ 29, 6, 42, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 6, 66, 61 ] , [ 49, 48, 48, 49 ] , [ 61, 12, 84, 37 ] , [ 73, 24, 72, 25 ] , [ 82, 51, 45, 76 ] 384 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 16, 93, 75, 94 ] , [ 25, 24, 72, 73 ] , [ 29, 6, 10, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 90, 1 ] , [ 61, 12, 84, 37 ] , [ 67, 18, 78, 31 ] 384 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 16, 93, 75, 46 ] , [ 25, 24, 72, 73 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 61, 12, 84, 37 ] , [ 65, 0, 64, 65 ] , [ 67, 18, 78, 31 ] Name Index con len c2 c3 SL(2,Z/98Z) Matrix Generators 336 1 8 0 0 [ 29, 42, 14, 71 ] , [ 43, 0, 42, 57 ] , [ 50, 49, 49, 1 ] , [ 91, 2, 66, 9 ] , [ 97, 0, 0, 97 ] 336 1 56 0 0 [ 9, 28, 48, 95 ] , [ 43, 14, 70, 57 ] , [ 63, 44, 24, 37 ] , [ 75, 94, 56, 31 ] , [ 85, 56, 0, 15 ] Name Index con len c2 c3 SL(2,Z/99Z) Matrix Generators 216 1 36 0 0 [ 1, 66, 33, 1 ] , [ 22, 60, 90, 25 ] , [ 28, 18, 9, 73 ] , [ 56, 0, 33, 23 ] , [ 56, 55, 22, 34 ] , [ 67, 0, 33, 34 ] , [ 98, 0, 0, 98 ] 216 2 108 0 0 [ 1, 66, 33, 1 ] , [ 22, 60, 90, 25 ] , [ 28, 18, 9, 73 ] , [ 45, 77, 88, 12 ] , [ 56, 0, 33, 23 ] , [ 67, 0, 33, 34 ] , [ 98, 0, 0, 98 ] 288 1 48 0 0 [ 1, 0, 66, 1 ] , [ 1, 90, 72, 46 ] , [ 34, 0, 0, 67 ] , [ 37, 90, 45, 64 ] , [ 65, 0, 55, 32 ] , [ 67, 0, 55, 34 ] Name Index con len c2 c3 SL(2,Z/100Z) Matrix Generators 240 1 120 8 0 [ 21, 60, 60, 81 ] , [ 29, 66, 93, 91 ] , [ 51, 0, 0, 51 ] , [ 59, 20, 40, 39 ] , [ 61, 0, 60, 41 ] , [ 65, 92, 12, 57 ] , [ 76, 25, 75, 51 ] 240 1 120 8 0 [ 19, 0, 20, 79 ] , [ 33, 96, 76, 9 ] , [ 51, 0, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 55, 34, 11, 25 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] 240 1 120 8 0 [ 1, 34, 57, 39 ] , [ 51, 0, 0, 51 ] , [ 57, 8, 68, 85 ] , [ 59, 20, 40, 39 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 81, 40, 40, 21 ] 240 1 120 8 0 [ 1, 34, 57, 39 ] , [ 13, 76, 16, 9 ] , [ 51, 0, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 83, 52, 52, 35 ] 360 1 90 8 0 [ 29, 60, 20, 69 ] , [ 49, 24, 4, 53 ] , [ 51, 0, 50, 51 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 69, 80, 90, 29 ] , [ 91, 22, 69, 9 ] , [ 93, 36, 76, 9 ] Name Index con len c2 c3 SL(2,Z/102Z) Matrix Generators 216 1 18 0 0 [ 1, 0, 90, 1 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 34, 1 ] , [ 52, 51, 51, 1 ] , [ 52, 85, 85, 35 ] , [ 55, 0, 48, 13 ] , [ 67, 0, 0, 67 ] , [ 83, 51, 42, 59 ] 216 1 18 0 0 [ 1, 0, 42, 1 ] , [ 1, 51, 51, 52 ] , [ 1, 68, 68, 35 ] , [ 13, 0, 54, 55 ] , [ 35, 0, 0, 35 ] , [ 43, 0, 42, 19 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 68, 69 ] 216 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 34, 34, 35 ] , [ 19, 0, 6, 43 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 17, 1 ] , [ 55, 0, 66, 13 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 68, 69 ] 216 1 54 0 0 [ 1, 0, 42, 1 ] , [ 1, 51, 51, 52 ] , [ 13, 0, 54, 55 ] , [ 31, 68, 86, 11 ] , [ 35, 0, 0, 35 ] , [ 43, 0, 42, 19 ] , [ 67, 0, 0, 67 ] , [ 99, 34, 86, 45 ] 216 1 54 0 0 [ 1, 0, 72, 1 ] , [ 13, 0, 78, 55 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 34, 1 ] , [ 52, 51, 51, 1 ] , [ 59, 0, 30, 83 ] , [ 67, 0, 0, 67 ] , [ 73, 34, 79, 41 ] 216 1 54 0 0 [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 34, 34, 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 0 0 [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 34, 34, 35 ] , [ 10, 51, 21, 97 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 54, 25 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 18, 13 ] , [ 67, 0, 0, 67 ] Name Index con len c2 c3 SL(2,Z/105Z) Matrix Generators 252 2 42 12 0 [ 1, 0, 63, 1 ] , [ 36, 35, 70, 36 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 88, 55, 94, 17 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ] 252 2 84 12 0 [ 1, 0, 21, 1 ] , [ 4, 35, 30, 79 ] , [ 16, 0, 5, 46 ] , [ 16, 30, 15, 61 ] , [ 31, 15, 60, 46 ] , [ 36, 70, 35, 36 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 76, 0, 0, 76 ] , [ 103, 70, 9, 52 ] 252 2 126 12 0 [ 1, 0, 63, 1 ] , [ 1, 45, 75, 16 ] , [ 1, 70, 70, 71 ] , [ 13, 10, 4, 92 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 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/106Z) Matrix Generators 216 1 54 0 0 [ 1, 53, 53, 54 ] , [ 39, 34, 76, 69 ] , [ 61, 30, 30, 53 ] , [ 105, 0, 0, 105 ] Name Index con len c2 c3 SL(2,Z/108Z) Matrix Generators 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 54, 81, 55 ] , [ 37, 0, 0, 73 ] , [ 37, 36, 48, 73 ] , [ 37, 96, 52, 97 ] , [ 55, 0, 54, 55 ] , [ 85, 0, 0, 61 ] , [ 107, 0, 0, 107 ] 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 13, 12, 44, 49 ] , [ 37, 36, 84, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 27, 1 ] , [ 71, 0, 18, 35 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 72, 37 ] , [ 97, 0, 84, 49 ] 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 25, 24, 40, 73 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 72, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 81, 1 ] , [ 73, 36, 12, 37 ] , [ 85, 0, 84, 61 ] , [ 107, 0, 0, 107 ] 288 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 36, 1 ] , [ 13, 0, 0, 25 ] , [ 28, 27, 81, 55 ] , [ 37, 0, 0, 73 ] , [ 37, 36, 68, 37 ] , [ 55, 0, 0, 55 ] , [ 107, 0, 0, 107 ] 288 1 96 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 52, 1 ] , [ 37, 0, 36, 73 ] , [ 55, 0, 0, 55 ] , [ 64, 63, 45, 19 ] , [ 73, 0, 84, 37 ] , [ 97, 72, 24, 49 ] , [ 107, 0, 0, 107 ] 432 1 36 0 0 [ 1, 0, 72, 1 ] , [ 1, 54, 0, 1 ] , [ 37, 0, 24, 73 ] , [ 37, 0, 28, 73 ] , [ 49, 36, 44, 61 ] , [ 55, 54, 54, 55 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 24, 37 ] , [ 89, 54, 54, 17 ] 432 1 72 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 81, 1 ] , [ 35, 0, 54, 71 ] , [ 37, 0, 36, 73 ] , [ 73, 0, 24, 37 ] , [ 73, 0, 48, 37 ] , [ 73, 0, 56, 37 ] , [ 97, 72, 88, 13 ] Name Index con len c2 c3 SL(2,Z/110Z) Matrix Generators 220 2 110 0 4 [ 19, 60, 80, 79 ] , [ 21, 0, 0, 21 ] , [ 29, 80, 20, 59 ] , [ 56, 55, 55, 1 ] , [ 67, 0, 22, 23 ] , [ 89, 0, 0, 89 ] , [ 89, 66, 44, 45 ] Name Index con len c2 c3 SL(2,Z/111Z) Matrix Generators 228 1 114 4 0 [ 10, 33, 51, 13 ] , [ 38, 0, 0, 38 ] , [ 38, 37, 37, 1 ] , [ 40, 108, 66, 70 ] , [ 109, 44, 68, 2 ] , [ 109, 72, 60, 4 ] , [ 110, 0, 0, 110 ] Name Index con len c2 c3 SL(2,Z/113Z) Matrix Generators 228 1 114 4 0 [ 34, 8, 8, 85 ] , [ 34, 11, 11, 90 ] , [ 56, 48, 48, 23 ] , [ 90, 48, 48, 57 ] , [ 101, 89, 40, 14 ] Name Index con len c2 c3 SL(2,Z/114Z) Matrix Generators Γ0(114) 240 1 240 0 0 [ 1, 57, 0, 1 ] , [ 1, 76, 0, 1 ] , [ 31, 42, 60, 85 ] , [ 73, 36, 54, 61 ] , [ 77, 57, 0, 77 ] , [ 79, 48, 72, 25 ] , [ 79, 78, 60, 91 ] Name Index con len c2 c3 SL(2,Z/116Z) Matrix Generators 240 1 120 8 0 [ 33, 96, 52, 81 ] , [ 45, 56, 40, 73 ] , [ 83, 20, 64, 35 ] , [ 83, 86, 11, 17 ] , [ 88, 29, 87, 59 ] , [ 97, 56, 4, 37 ] Name Index con len c2 c3 SL(2,Z/117Z) Matrix Generators 252 1 42 12 0 [ 1, 72, 72, 37 ] , [ 13, 18, 18, 61 ] , [ 14, 0, 0, 92 ] , [ 25, 45, 45, 67 ] , [ 40, 78, 78, 79 ] , [ 79, 0, 0, 40 ] , [ 82, 9, 90, 37 ] , [ 105, 91, 26, 66 ] 252 1 84 12 0 [ 19, 72, 108, 46 ] , [ 40, 0, 39, 79 ] , [ 40, 39, 0, 79 ] , [ 55, 45, 99, 64 ] , [ 64, 0, 0, 64 ] , [ 79, 52, 52, 92 ] , [ 85, 72, 81, 70 ] , [ 92, 78, 78, 14 ] 252 1 252 4 0 [ 1, 13, 91, 14 ] , [ 1, 78, 0, 1 ] , [ 14, 78, 78, 92 ] , [ 19, 72, 108, 46 ] , [ 40, 0, 39, 79 ] , [ 55, 45, 99, 64 ] , [ 64, 0, 0, 64 ] , [ 109, 45, 36, 46 ] Name Index con len c2 c3 SL(2,Z/119Z) Matrix Generators 252 2 126 12 0 [ 1, 85, 68, 69 ] , [ 35, 17, 51, 35 ] , [ 50, 0, 0, 50 ] , [ 69, 0, 0, 69 ] , [ 83, 42, 112, 104 ] , [ 85, 7, 63, 36 ] , [ 86, 68, 34, 103 ] , [ 99, 92, 47, 111 ] , [ 103, 85, 102, 1 ] Name Index con len c2 c3 SL(2,Z/120Z) Matrix Generators 216 1 18 0 0 [ 1, 0, 60, 1 ] , [ 1, 40, 40, 41 ] , [ 1, 60, 30, 1 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 12, 60, 97 ] , [ 91, 0, 60, 91 ] 216 1 18 0 0 [ 1, 0, 60, 1 ] , [ 1, 40, 40, 41 ] , [ 1, 60, 30, 1 ] , [ 31, 90, 45, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ] 240 1 80 12 0 [ 1, 40, 40, 41 ] , [ 1, 72, 24, 49 ] , [ 1, 80, 80, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 105, 45, 86 ] , [ 49, 0, 0, 49 ] , [ 73, 0, 72, 97 ] , [ 73, 24, 48, 1 ] , [ 76, 15, 105, 76 ] , [ 109, 0, 0, 109 ] 240 1 120 0 0 [ 1, 60, 0, 1 ] , [ 1, 80, 0, 1 ] , [ 31, 90, 0, 31 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 24, 25 ] , [ 61, 30, 0, 61 ] , [ 61, 60, 0, 61 ] , [ 71, 15, 0, 71 ] , [ 73, 0, 72, 97 ] , [ 79, 3, 96, 31 ] , [ 97, 24, 0, 73 ] 240 2 40 12 0 [ 1, 60, 60, 1 ] , [ 9, 10, 65, 99 ] , [ 15, 64, 116, 15 ] , [ 25, 72, 72, 49 ] , [ 31, 0, 0, 31 ] , [ 39, 40, 80, 39 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 76, 45, 15, 91 ] , [ 119, 80, 80, 79 ] 240 2 40 12 0 [ 1, 60, 60, 1 ] , [ 9, 10, 65, 99 ] , [ 25, 72, 72, 49 ] , [ 25, 96, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 39, 40, 80, 39 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 76, 45, 15, 91 ] , [ 119, 80, 80, 79 ] 240 2 120 12 0 [ 1, 60, 60, 1 ] , [ 9, 10, 65, 99 ] , [ 15, 64, 116, 15 ] , [ 25, 72, 72, 49 ] , [ 31, 0, 0, 31 ] , [ 39, 40, 80, 39 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 76, 45, 15, 91 ] 240 2 120 12 0 [ 1, 60, 60, 1 ] , [ 25, 72, 72, 49 ] , [ 25, 96, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 39, 40, 20, 39 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 71, 70, 55, 61 ] , [ 76, 45, 15, 91 ] 288 1 24 24 0 [ 1, 60, 60, 1 ] , [ 19, 0, 60, 19 ] , [ 19, 102, 39, 1 ] , [ 25, 48, 48, 97 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 60, 61 ] , [ 91, 78, 51, 49 ] , [ 91, 118, 91, 89 ] , [ 111, 58, 71, 9 ] 288 1 24 24 0 [ 1, 60, 60, 1 ] , [ 9, 100, 80, 9 ] , [ 19, 0, 60, 19 ] , [ 25, 48, 48, 97 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 60, 49 ] , [ 49, 40, 100, 89 ] , [ 61, 0, 60, 61 ] , [ 91, 78, 111, 49 ] 288 1 72 24 0 [ 1, 40, 100, 41 ] , [ 1, 60, 60, 1 ] , [ 19, 0, 60, 19 ] , [ 19, 102, 39, 1 ] , [ 25, 48, 48, 97 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 60, 61 ] , [ 81, 100, 80, 81 ] , [ 91, 78, 51, 49 ] 288 1 72 24 0 [ 1, 60, 60, 1 ] , [ 19, 0, 60, 19 ] , [ 25, 48, 48, 97 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 60, 49 ] , [ 49, 40, 100, 89 ] , [ 61, 0, 60, 61 ] , [ 81, 100, 80, 81 ] , [ 91, 78, 111, 49 ] 288 1 96 24 0 [ 1, 48, 96, 49 ] , [ 25, 72, 72, 73 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 43, 114, 99, 109 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 81, 80, 40, 81 ] , [ 91, 75, 105, 76 ] 288 1 144 0 0 [ 1, 24, 24, 97 ] , [ 1, 96, 33, 49 ] , [ 25, 48, 48, 97 ] , [ 25, 48, 108, 97 ] , [ 49, 96, 96, 73 ] , [ 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 ] Γ0(120) 288 1 144 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 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 87, 112, 2, 55 ] , [ 93, 112, 95, 37 ] , [ 97, 72, 72, 25 ] , [ 97, 96, 66, 1 ] , [ 113, 64, 104, 9 ] 288 2 24 24 0 [ 1, 60, 60, 1 ] , [ 19, 0, 60, 19 ] , [ 25, 48, 48, 97 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 91, 78, 51, 49 ] , [ 91, 118, 91, 89 ] , [ 111, 58, 71, 9 ] 288 2 72 24 0 [ 1, 40, 100, 41 ] , [ 1, 60, 60, 1 ] , [ 25, 48, 48, 97 ] , [ 31, 0, 0, 31 ] , [ 31, 18, 111, 49 ] , [ 31, 75, 45, 16 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 60, 61 ] , [ 79, 0, 0, 79 ] , [ 81, 100, 80, 81 ] Name Index con len c2 c3 SL(2,Z/122Z) Matrix Generators 248 1 62 0 8 [ 35, 116, 46, 27 ] , [ 57, 106, 74, 67 ] , [ 62, 61, 61, 1 ] , [ 67, 8, 20, 37 ] , [ 95, 116, 46, 87 ] Name Index con len c2 c3 SL(2,Z/123Z) Matrix Generators 252 1 42 12 0 [ 1, 12, 0, 1 ] , [ 1, 41, 41, 83 ] , [ 10, 24, 0, 37 ] , [ 42, 41, 82, 42 ] , [ 64, 24, 0, 25 ] , [ 74, 33, 0, 5 ] , [ 83, 0, 0, 83 ] Name Index con len c2 c3 SL(2,Z/126Z) Matrix Generators 216 1 216 0 0 [ 1, 0, 63, 1 ] , [ 29, 84, 0, 113 ] , [ 55, 18, 90, 73 ] , [ 55, 108, 72, 91 ] , [ 57, 56, 112, 57 ] , [ 71, 28, 70, 1 ] , [ 85, 0, 84, 43 ] , [ 85, 84, 0, 43 ] , [ 125, 0, 0, 125 ] 252 2 63 16 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 113, 26, 71 ] , [ 55, 0, 0, 55 ] , [ 73, 54, 108, 73 ] , [ 83, 113, 26, 43 ] , [ 85, 0, 0, 43 ] , [ 85, 42, 42, 43 ] , [ 113, 84, 84, 29 ] 252 2 63 16 0 [ 1, 42, 42, 1 ] , [ 37, 90, 54, 19 ] , [ 43, 119, 56, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 85, 105, 105, 106 ] , [ 113, 42, 42, 29 ] , [ 120, 91, 35, 78 ] 252 2 63 16 0 [ 29, 84, 84, 113 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 43, 56, 56, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 57, 28, 35, 15 ] , [ 64, 63, 63, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 84, 84, 43 ] 252 2 126 12 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 43, 0, 42, 85 ] , [ 43, 42, 42, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 15, 117, 64 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 83, 71, 110, 85 ] , [ 113, 42, 42, 29 ] 252 2 126 16 0 [ 37, 90, 54, 19 ] , [ 41, 8, 5, 1 ] , [ 43, 84, 84, 85 ] , [ 52, 75, 87, 31 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 85, 0, 0, 43 ] , [ 101, 30, 60, 59 ] , [ 113, 76, 37, 55 ] , [ 115, 72, 60, 31 ] 252 2 126 16 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 15, 70, 14, 57 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 64, 21, 105, 1 ] , [ 73, 54, 108, 73 ] , [ 85, 84, 84, 43 ] , [ 113, 0, 0, 29 ] , [ 125, 71, 26, 43 ] 252 2 252 12 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 90, 72, 55 ] , [ 29, 14, 119, 1 ] , [ 55, 0, 0, 55 ] , [ 73, 72, 18, 73 ] , [ 85, 0, 84, 43 ] , [ 85, 21, 105, 106 ] , [ 106, 21, 21, 85 ] , [ 113, 42, 42, 29 ] 252 2 252 16 0 [ 37, 90, 54, 19 ] , [ 41, 8, 5, 1 ] , [ 43, 84, 84, 85 ] , [ 52, 93, 123, 31 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 85, 0, 0, 43 ] , [ 101, 30, 60, 59 ] , [ 113, 76, 37, 55 ] , [ 115, 72, 60, 31 ] Γ0(126) 288 1 96 0 0 [ 1, 0, 42, 1 ] , [ 1, 0, 63, 1 ] , [ 1, 0, 112, 1 ] , [ 1, 90, 10, 19 ] , [ 29, 0, 105, 113 ] , [ 55, 0, 56, 55 ] , [ 73, 108, 36, 55 ] , [ 85, 0, 0, 43 ] , [ 85, 0, 14, 43 ] 288 2 96 0 0 [ 1, 0, 42, 1 ] , [ 1, 0, 63, 1 ] , [ 25, 66, 14, 37 ] , [ 29, 0, 91, 113 ] , [ 55, 18, 90, 73 ] , [ 83, 0, 70, 41 ] , [ 85, 0, 0, 43 ] , [ 85, 0, 70, 43 ] Name Index con len c2 c3 SL(2,Z/128Z) Matrix Generators 384 1 24 0 0 [ 1, 64, 64, 1 ] , [ 6, 123, 5, 60 ] , [ 11, 54, 74, 119 ] , [ 21, 108, 20, 109 ] , [ 25, 72, 120, 105 ] , [ 33, 96, 32, 97 ] , [ 41, 88, 40, 89 ] , [ 57, 94, 18, 5 ] , [ 65, 64, 64, 65 ] , [ 70, 121, 7, 120 ] , [ 77, 36, 60, 53 ] , [ 81, 112, 16, 49 ] 384 2 48 0 0 [ 1, 64, 64, 1 ] , [ 13, 36, 124, 117 ] , [ 21, 44, 84, 109 ] , [ 33, 32, 96, 97 ] , [ 41, 88, 40, 89 ] , [ 65, 64, 64, 65 ] , [ 70, 59, 5, 92 ] , [ 75, 22, 106, 55 ] , [ 75, 36, 124, 51 ] , [ 81, 16, 48, 49 ] , [ 81, 48, 80, 49 ] , [ 98, 37, 43, 28 ] Name Index con len c2 c3 SL(2,Z/130Z) Matrix Generators Γ0(130) 252 1 252 4 0 [ 1, 0, 65, 1 ] , [ 1, 26, 0, 1 ] , [ 31, 0, 50, 21 ] , [ 41, 16, 90, 51 ] , [ 51, 110, 80, 91 ] , [ 53, 26, 65, 27 ] , [ 79, 0, 0, 79 ] , [ 101, 110, 110, 31 ] 280 1 70 0 16 [ 1, 26, 52, 53 ] , [ 1, 65, 65, 66 ] , [ 27, 0, 78, 53 ] , [ 51, 0, 0, 51 ] , [ 53, 26, 0, 27 ] , [ 71, 90, 90, 61 ] , [ 79, 0, 0, 79 ] , [ 129, 6, 54, 65 ] Name Index con len c2 c3 SL(2,Z/132Z) Matrix Generators 216 1 36 0 0 [ 1, 0, 66, 1 ] , [ 1, 22, 121, 23 ] , [ 1, 44, 44, 89 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] 216 1 108 0 0 [ 1, 0, 66, 1 ] , [ 1, 22, 121, 23 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] , [ 111, 22, 44, 111 ] Name Index con len c2 c3 SL(2,Z/135Z) Matrix Generators 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 1, 120, 125, 16 ] , [ 46, 0, 0, 91 ] , [ 55, 27, 27, 82 ] , [ 56, 45, 75, 41 ] , [ 71, 12, 74, 119 ] , [ 91, 45, 105, 46 ] , [ 91, 105, 55, 16 ] , [ 124, 120, 20, 64 ] 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 31, 75, 65, 31 ] , [ 46, 0, 0, 91 ] , [ 55, 27, 27, 82 ] , [ 61, 90, 0, 31 ] , [ 71, 12, 74, 119 ] , [ 86, 45, 120, 11 ] , [ 91, 45, 105, 46 ] , [ 124, 120, 20, 64 ] 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 1, 15, 55, 16 ] , [ 4, 75, 5, 94 ] , [ 46, 0, 0, 91 ] , [ 46, 75, 125, 16 ] , [ 55, 27, 27, 82 ] , [ 91, 45, 105, 46 ] , [ 101, 45, 75, 131 ] , [ 131, 57, 89, 14 ] Name Index con len c2 c3 SL(2,Z/136Z) Matrix Generators 216 1 54 0 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 ] , [ 119, 8, 104, 23 ] , [ 121, 48, 90, 129 ] 216 1 54 0 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 ] , [ 113, 24, 16, 1 ] , [ 119, 8, 104, 23 ] 216 2 54 0 0 [ 1, 0, 68, 1 ] , [ 33, 0, 0, 33 ] , [ 35, 68, 34, 35 ] , [ 49, 82, 36, 113 ] , [ 57, 40, 8, 113 ] , [ 65, 120, 120, 73 ] , [ 69, 0, 0, 69 ] , [ 81, 84, 112, 49 ] , [ 89, 112, 53, 1 ] , [ 121, 16, 10, 89 ] Name Index con len c2 c3 SL(2,Z/138Z) Matrix Generators 216 1 72 0 0 [ 1, 0, 69, 1 ] , [ 1, 46, 46, 47 ] , [ 47, 0, 0, 47 ] , [ 47, 46, 115, 1 ] , [ 55, 66, 120, 1 ] , [ 73, 12, 120, 67 ] , [ 137, 0, 0, 137 ] Name Index con len c2 c3 SL(2,Z/140Z) Matrix Generators 210 2 105 0 0 [ 1, 0, 70, 1 ] , [ 1, 0, 105, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 85, 112, 112, 29 ] , [ 89, 12, 24, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ] 210 2 105 2 0 [ 1, 0, 70, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 71, 70, 35, 1 ] , [ 85, 112, 112, 29 ] , [ 89, 12, 129, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ] 252 2 126 8 0 [ 1, 60, 120, 61 ] , [ 1, 112, 84, 29 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 61, 20, 40, 121 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ] , [ 121, 0, 5, 81 ] , [ 131, 30, 85, 121 ] 252 2 126 12 0 [ 1, 60, 120, 61 ] , [ 1, 112, 84, 29 ] , [ 11, 70, 65, 121 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 41, 120, 40, 1 ] , [ 61, 20, 40, 121 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ] Name Index con len c2 c3 SL(2,Z/142Z) Matrix Generators Γ0(142) 216 1 216 0 0 [ 72, 71, 71, 72 ] , [ 83, 106, 80, 121 ] , [ 89, 118, 6, 67 ] , [ 95, 132, 60, 49 ] , [ 141, 0, 0, 141 ] Name Index con len c2 c3 SL(2,Z/144Z) Matrix Generators 216 1 54 0 0 [ 1, 72, 72, 1 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 74, 113, 71, 124 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] 216 1 54 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 74, 113, 71, 124 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] 216 2 54 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 90, 89, 127, 108 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] 288 1 24 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 55, 117, 36, 19 ] , [ 73, 72, 0, 73 ] , [ 73, 81, 108, 37 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 36, 125 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ] , [ 125, 129, 36, 89 ] 288 1 24 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 55, 117, 36, 19 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 36, 125 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ] , [ 125, 102, 72, 53 ] , [ 125, 129, 36, 89 ] Name Index con len c2 c3 SL(2,Z/146Z) Matrix Generators Γ0(146) 222 1 222 2 0 [ 1, 73, 0, 1 ] , [ 51, 110, 96, 21 ] , [ 67, 106, 58, 131 ] , [ 75, 76, 90, 99 ] , [ 101, 86, 118, 47 ] , [ 111, 14, 60, 1 ] , [ 125, 110, 96, 95 ] Name Index con len c2 c3 SL(2,Z/148Z) Matrix Generators Γ0(148) 228 1 114 0 0 [ 1, 0, 37, 1 ] , [ 1, 0, 74, 1 ] , [ 9, 36, 52, 93 ] , [ 13, 72, 72, 137 ] , [ 75, 0, 74, 75 ] , [ 81, 20, 0, 53 ] , [ 93, 24, 84, 1 ] , [ 121, 52, 0, 137 ] 228 1 114 4 0 [ 1, 0, 74, 1 ] , [ 9, 36, 52, 93 ] , [ 13, 72, 72, 137 ] , [ 75, 0, 74, 75 ] , [ 75, 74, 37, 1 ] , [ 81, 20, 0, 53 ] , [ 93, 24, 84, 1 ] , [ 121, 52, 0, 137 ] Name Index con len c2 c3 SL(2,Z/152Z) Matrix Generators Γ0(152) 240 1 120 0 0 [ 1, 0, 38, 1 ] , [ 1, 0, 76, 1 ] , [ 17, 8, 120, 137 ] , [ 25, 80, 120, 1 ] , [ 33, 16, 88, 121 ] , [ 49, 0, 144, 121 ] , [ 77, 76, 19, 1 ] , [ 85, 80, 60, 69 ] , [ 97, 48, 36, 57 ] , [ 107, 148, 111, 47 ] , [ 129, 16, 104, 73 ] Name Index con len c2 c3 SL(2,Z/153Z) Matrix Generators 216 1 72 0 0 [ 1, 0, 117, 1 ] , [ 35, 17, 102, 137 ] , [ 44, 136, 141, 29 ] , [ 49, 85, 42, 76 ] , [ 55, 68, 48, 115 ] , [ 67, 34, 51, 67 ] , [ 103, 0, 0, 52 ] , [ 103, 51, 0, 52 ] , [ 103, 68, 102, 103 ] 216 1 72 0 0 [ 1, 0, 117, 1 ] , [ 16, 136, 102, 16 ] , [ 44, 34, 39, 131 ] , [ 55, 17, 150, 13 ] , [ 86, 68, 51, 35 ] , [ 103, 0, 0, 52 ] , [ 103, 51, 0, 52 ] , [ 103, 136, 102, 1 ] , [ 151, 34, 93, 25 ] Name Index con len c2 c3 SL(2,Z/154Z) Matrix Generators 231 2 231 9 0 [ 1, 0, 77, 1 ] , [ 23, 88, 132, 23 ] , [ 43, 0, 0, 43 ] , [ 65, 116, 139, 23 ] , [ 67, 88, 22, 45 ] , [ 111, 0, 0, 111 ] , [ 127, 140, 91, 127 ] , [ 133, 44, 66, 133 ] , [ 133, 132, 22, 1 ] 231 2 231 9 0 [ 1, 0, 77, 1 ] , [ 1, 66, 88, 111 ] , [ 23, 110, 132, 89 ] , [ 35, 92, 13, 109 ] , [ 45, 0, 22, 89 ] , [ 87, 50, 62, 133 ] , [ 87, 66, 110, 87 ] , [ 111, 0, 0, 111 ] , [ 133, 22, 132, 67 ] Name Index con len c2 c3 SL(2,Z/156Z) Matrix Generators 224 1 224 0 2 [ 1, 0, 104, 1 ] , [ 1, 117, 117, 118 ] , [ 13, 120, 108, 145 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 61, 36, 36, 121 ] , [ 79, 0, 0, 79 ] , [ 79, 78, 117, 1 ] , [ 85, 84, 36, 109 ] 252 1 42 12 0 [ 25, 60, 48, 109 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 85, 112, 28, 125 ] , [ 91, 42, 147, 145 ] , [ 93, 88, 152, 117 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ] 252 1 126 8 0 [ 13, 120, 147, 145 ] , [ 25, 60, 48, 109 ] , [ 73, 44, 128, 137 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 85, 34, 28, 125 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ] 252 2 42 12 0 [ 1, 0, 78, 1 ] , [ 1, 84, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 104, 104, 1 ] , [ 79, 0, 78, 79 ] , [ 79, 78, 39, 1 ] , [ 105, 52, 104, 105 ] , [ 109, 144, 36, 49 ] , [ 133, 132, 60, 49 ] Name Index con len c2 c3 SL(2,Z/159Z) Matrix Generators Γ0(159) 216 1 216 0 0 [ 1, 106, 0, 1 ] , [ 1, 117, 48, 52 ] , [ 19, 51, 105, 148 ] , [ 52, 0, 0, 52 ] , [ 100, 30, 39, 61 ] , [ 107, 0, 0, 107 ] Name Index con len c2 c3 SL(2,Z/160Z) Matrix Generators 240 1 60 0 0 [ 1, 80, 80, 1 ] , [ 6, 135, 65, 76 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 33, 0, 32, 97 ] , [ 41, 120, 40, 121 ] , [ 61, 60, 20, 101 ] , [ 81, 80, 80, 81 ] , [ 97, 32, 64, 97 ] , [ 106, 95, 145, 56 ] , [ 121, 130, 70, 21 ] , [ 129, 0, 0, 129 ] , [ 129, 128, 96, 1 ] 240 1 60 12 0 [ 1, 80, 80, 1 ] , [ 1, 120, 120, 1 ] , [ 31, 0, 0, 31 ] , [ 33, 96, 0, 97 ] , [ 57, 98, 66, 77 ] , [ 71, 140, 140, 71 ] , [ 81, 80, 80, 81 ] , [ 96, 85, 35, 96 ] , [ 97, 128, 96, 97 ] , [ 121, 40, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 129, 128, 96, 1 ] , [ 141, 20, 20, 21 ] 240 1 120 2 0 [ 1, 32, 64, 129 ] , [ 1, 80, 80, 1 ] , [ 6, 135, 125, 66 ] , [ 21, 120, 40, 61 ] , [ 71, 30, 50, 91 ] , [ 81, 0, 0, 81 ] , [ 97, 0, 128, 33 ] , [ 97, 32, 64, 97 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 240 1 120 2 0 [ 1, 32, 64, 129 ] , [ 1, 80, 80, 1 ] , [ 6, 135, 125, 146 ] , [ 21, 120, 40, 61 ] , [ 71, 30, 130, 91 ] , [ 81, 0, 0, 81 ] , [ 97, 0, 128, 33 ] , [ 97, 32, 64, 97 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 288 1 72 0 0 [ 1, 80, 80, 1 ] , [ 6, 135, 65, 76 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 42, 127, 145, 8 ] , [ 51, 110, 50, 111 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 106, 95, 145, 56 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 70, 21 ] , [ 129, 0, 0, 129 ] Γ0(160) 288 1 72 0 0 [ 1, 80, 80, 1 ] , [ 6, 135, 65, 76 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 51, 110, 50, 111 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 97, 32, 0, 33 ] , [ 106, 95, 145, 56 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 70, 21 ] , [ 129, 0, 0, 129 ] 288 1 72 24 0 [ 1, 40, 40, 1 ] , [ 1, 80, 80, 1 ] , [ 31, 0, 0, 31 ] , [ 36, 115, 85, 156 ] , [ 61, 100, 100, 101 ] , [ 64, 21, 3, 96 ] , [ 81, 80, 80, 81 ] , [ 96, 85, 35, 16 ] , [ 97, 128, 128, 65 ] , [ 121, 40, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 139, 146, 18, 111 ] 288 1 72 24 0 [ 1, 40, 40, 1 ] , [ 1, 80, 80, 1 ] , [ 31, 0, 0, 31 ] , [ 36, 115, 85, 156 ] , [ 61, 100, 100, 101 ] , [ 81, 80, 80, 81 ] , [ 96, 85, 35, 16 ] , [ 97, 128, 128, 65 ] , [ 121, 40, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 129, 96, 128, 1 ] , [ 139, 146, 18, 111 ] 288 1 144 4 0 [ 1, 80, 80, 1 ] , [ 6, 135, 125, 66 ] , [ 21, 120, 40, 61 ] , [ 65, 32, 32, 97 ] , [ 71, 30, 50, 91 ] , [ 81, 0, 0, 81 ] , [ 102, 7, 125, 18 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 288 1 144 4 0 [ 1, 80, 80, 1 ] , [ 6, 135, 125, 146 ] , [ 7, 62, 50, 123 ] , [ 21, 120, 40, 61 ] , [ 65, 32, 32, 97 ] , [ 71, 30, 130, 91 ] , [ 81, 0, 0, 81 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 288 1 144 4 0 [ 1, 80, 80, 1 ] , [ 6, 135, 125, 66 ] , [ 21, 120, 40, 61 ] , [ 65, 32, 32, 97 ] , [ 71, 30, 50, 91 ] , [ 81, 0, 0, 81 ] , [ 97, 32, 0, 33 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 288 1 144 4 0 [ 1, 80, 80, 1 ] , [ 6, 135, 125, 66 ] , [ 16, 45, 155, 36 ] , [ 21, 120, 40, 61 ] , [ 65, 32, 32, 97 ] , [ 81, 0, 0, 81 ] , [ 97, 32, 0, 33 ] , [ 111, 40, 120, 111 ] , [ 121, 80, 80, 41 ] , [ 121, 120, 40, 41 ] , [ 129, 0, 0, 129 ] , [ 141, 60, 100, 21 ] 288 2 72 0 0 [ 1, 80, 80, 1 ] , [ 1, 120, 120, 1 ] , [ 21, 140, 20, 141 ] , [ 25, 98, 38, 53 ] , [ 59, 150, 90, 39 ] , [ 65, 32, 32, 97 ] , [ 81, 0, 0, 81 ] , [ 96, 127, 129, 134 ] , [ 97, 32, 120, 33 ] , [ 116, 95, 25, 106 ] , [ 121, 80, 0, 41 ] , [ 129, 0, 80, 129 ] Name Index con len c2 c3 SL(2,Z/165Z) Matrix Generators 216 1 72 0 0 [ 1, 99, 0, 1 ] , [ 46, 135, 150, 121 ] , [ 56, 0, 0, 56 ] , [ 56, 55, 55, 1 ] , [ 76, 0, 0, 76 ] , [ 76, 120, 75, 151 ] , [ 111, 110, 55, 111 ] , [ 122, 110, 110, 133 ] , [ 144, 55, 110, 144 ] 220 2 220 0 4 [ 1, 0, 110, 1 ] , [ 10, 132, 132, 109 ] , [ 34, 0, 55, 34 ] , [ 56, 0, 55, 56 ] , [ 76, 0, 0, 76 ] , [ 131, 18, 9, 68 ] , [ 133, 0, 99, 67 ] , [ 133, 33, 0, 67 ] , [ 149, 57, 141, 137 ] Name Index con len c2 c3 SL(2,Z/168Z) Matrix Generators 252 2 63 16 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, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] Name Index con len c2 c3 SL(2,Z/170Z) Matrix Generators 216 1 108 0 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 ] , [ 167, 68, 85, 113 ] 216 1 108 0 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, 0, 103 ] Name Index con len c2 c3 SL(2,Z/171Z) Matrix Generators Γ0(171) 240 1 80 0 0 [ 1, 57, 0, 1 ] , [ 58, 133, 0, 115 ] , [ 73, 36, 54, 118 ] , [ 77, 114, 0, 20 ] , [ 115, 0, 0, 58 ] , [ 136, 135, 117, 91 ] , [ 136, 162, 72, 82 ] , [ 145, 99, 117, 28 ] 240 1 80 0 6 [ 1, 57, 0, 1 ] , [ 1, 76, 114, 115 ] , [ 73, 36, 54, 118 ] , [ 77, 114, 0, 20 ] , [ 115, 0, 0, 58 ] , [ 136, 135, 117, 91 ] , [ 136, 162, 72, 82 ] , [ 145, 99, 117, 28 ] 240 2 80 0 0 [ 1, 57, 0, 1 ] , [ 58, 133, 0, 115 ] , [ 73, 36, 54, 118 ] , [ 77, 114, 0, 20 ] , [ 79, 162, 15, 139 ] , [ 115, 0, 0, 58 ] , [ 136, 135, 117, 91 ] , [ 145, 99, 117, 28 ] 240 2 80 0 6 [ 1, 57, 0, 1 ] , [ 73, 36, 54, 118 ] , [ 77, 114, 0, 20 ] , [ 79, 162, 15, 139 ] , [ 115, 0, 0, 58 ] , [ 121, 52, 135, 34 ] , [ 136, 135, 117, 91 ] , [ 145, 99, 117, 28 ] Name Index con len c2 c3 SL(2,Z/180Z) Matrix Generators 240 2 40 0 6 [ 1, 90, 90, 1 ] , [ 1, 120, 0, 1 ] , [ 1, 160, 0, 1 ] , [ 25, 84, 96, 49 ] , [ 37, 144, 0, 73 ] , [ 61, 0, 0, 121 ] , [ 91, 0, 90, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 108, 36, 1 ] , [ 121, 45, 165, 106 ] , [ 125, 36, 174, 161 ] Name Index con len c2 c3 SL(2,Z/185Z) Matrix Generators Γ0(185) 228 1 228 4 0 [ 36, 0, 0, 36 ] , [ 76, 175, 100, 111 ] , [ 86, 140, 15, 61 ] , [ 96, 85, 95, 61 ] , [ 112, 0, 111, 38 ] , [ 112, 111, 74, 75 ] , [ 149, 0, 0, 149 ] , [ 171, 80, 35, 51 ] Name Index con len c2 c3 SL(2,Z/187Z) Matrix Generators Γ0(187) 216 1 216 0 0 [ 1, 132, 165, 89 ] , [ 18, 68, 34, 35 ] , [ 23, 33, 88, 45 ] , [ 34, 77, 66, 155 ] , [ 39, 118, 151, 174 ] , [ 67, 0, 0, 67 ] , [ 89, 99, 77, 155 ] , [ 120, 0, 0, 120 ] Name Index con len c2 c3 SL(2,Z/189Z) Matrix Generators 288 1 96 0 0 [ 1, 0, 126, 1 ] , [ 22, 0, 0, 43 ] , [ 29, 126, 28, 50 ] , [ 55, 0, 126, 55 ] , [ 64, 0, 0, 127 ] , [ 85, 27, 66, 61 ] , [ 127, 0, 42, 64 ] , [ 127, 90, 122, 82 ] , [ 136, 108, 162, 55 ] 288 2 96 0 0 [ 1, 0, 126, 1 ] , [ 29, 126, 28, 50 ] , [ 55, 0, 126, 55 ] , [ 64, 0, 0, 127 ] , [ 85, 27, 52, 61 ] , [ 85, 27, 66, 61 ] , [ 127, 0, 42, 64 ] , [ 127, 90, 122, 82 ] , [ 136, 108, 162, 55 ] Name Index con len c2 c3 SL(2,Z/195Z) Matrix Generators 252 1 84 12 0 [ 1, 65, 65, 131 ] , [ 1, 156, 0, 1 ] , [ 31, 0, 180, 151 ] , [ 79, 0, 0, 79 ] , [ 106, 81, 90, 181 ] , [ 118, 156, 0, 157 ] , [ 131, 0, 0, 131 ] , [ 131, 65, 65, 1 ] , [ 166, 45, 45, 31 ] , [ 181, 45, 15, 91 ] 252 2 84 12 0 [ 1, 65, 65, 131 ] , [ 1, 156, 0, 1 ] , [ 31, 0, 180, 151 ] , [ 79, 0, 0, 79 ] , [ 106, 146, 90, 181 ] , [ 118, 156, 0, 157 ] , [ 131, 0, 0, 131 ] , [ 131, 65, 65, 1 ] , [ 166, 45, 45, 31 ] , [ 181, 175, 15, 91 ] Name Index con len c2 c3 SL(2,Z/196Z) Matrix Generators Γ0(196) 336 1 168 0 0 [ 1, 0, 49, 1 ] , [ 1, 0, 98, 1 ] , [ 9, 28, 48, 193 ] , [ 85, 56, 0, 113 ] , [ 99, 0, 98, 99 ] , [ 141, 112, 168, 57 ] , [ 161, 44, 24, 37 ] , [ 173, 192, 56, 129 ] Name Index con len c2 c3 SL(2,Z/198Z) Matrix Generators 198 2 99 0 0 [ 1, 99, 99, 100 ] , [ 23, 22, 154, 1 ] , [ 55, 115, 145, 188 ] , [ 97, 184, 64, 101 ] , [ 111, 88, 176, 111 ] , [ 133, 0, 132, 67 ] , [ 133, 66, 66, 67 ] , [ 155, 0, 66, 23 ] , [ 197, 0, 0, 197 ] Name Index con len c2 c3 SL(2,Z/200Z) Matrix Generators 240 2 120 4 0 [ 1, 100, 100, 1 ] , [ 41, 80, 80, 161 ] , [ 51, 0, 100, 51 ] , [ 57, 28, 120, 73 ] , [ 89, 136, 96, 113 ] , [ 101, 0, 100, 101 ] , [ 121, 80, 0, 81 ] , [ 129, 120, 0, 169 ] , [ 151, 50, 25, 101 ] , [ 176, 175, 25, 151 ] 240 2 120 4 0 [ 1, 100, 100, 1 ] , [ 41, 80, 80, 161 ] , [ 51, 0, 100, 51 ] , [ 51, 150, 25, 101 ] , [ 57, 128, 120, 73 ] , [ 89, 136, 96, 113 ] , [ 101, 0, 100, 101 ] , [ 121, 80, 0, 81 ] , [ 129, 120, 0, 169 ] , [ 176, 175, 25, 151 ] Name Index con len c2 c3 SL(2,Z/201Z) Matrix Generators 204 1 68 0 0 [ 37, 90, 195, 181 ] , [ 43, 84, 180, 160 ] , [ 68, 0, 0, 68 ] , [ 68, 134, 134, 1 ] , [ 113, 101, 29, 154 ] , [ 135, 134, 67, 135 ] , [ 200, 0, 0, 200 ] Name Index con len c2 c3 SL(2,Z/202Z) Matrix Generators 204 1 102 0 0 [ 1, 101, 101, 102 ] , [ 21, 152, 54, 35 ] , [ 43, 126, 74, 137 ] , [ 61, 14, 98, 49 ] , [ 63, 56, 190, 15 ] , [ 113, 38, 42, 91 ] Name Index con len c2 c3 SL(2,Z/205Z) Matrix Generators 210 1 210 2 0 [ 41, 142, 151, 188 ] , [ 81, 0, 0, 81 ] , [ 83, 0, 0, 42 ] , [ 89, 90, 25, 99 ] , [ 96, 50, 195, 61 ] , [ 116, 200, 185, 91 ] , [ 124, 0, 0, 124 ] , [ 126, 110, 190, 161 ] , [ 165, 36, 189, 40 ] Name Index con len c2 c3 SL(2,Z/209Z) Matrix Generators 220 2 220 0 4 [ 26, 188, 133, 182 ] , [ 93, 175, 114, 28 ] , [ 122, 143, 44, 67 ] , [ 153, 0, 0, 153 ] , [ 199, 88, 11, 133 ] , [ 199, 99, 22, 12 ] , [ 208, 0, 0, 208 ] Name Index con len c2 c3 SL(2,Z/210Z) Matrix Generators 210 2 70 0 3 [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 31, 60, 120, 151 ] , [ 43, 84, 0, 127 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 127, 0, 42, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 176, 105, 35, 71 ] , [ 181, 0, 0, 181 ] , [ 204, 133, 203, 155 ] 210 2 70 0 3 [ 1, 150, 60, 181 ] , [ 29, 203, 133, 120 ] , [ 31, 30, 60, 31 ] , [ 31, 60, 120, 151 ] , [ 43, 84, 0, 127 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 127, 0, 42, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 176, 105, 35, 71 ] , [ 181, 0, 0, 181 ] 240 2 80 0 9 [ 1, 70, 70, 71 ] , [ 25, 126, 114, 79 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 161, 165, 75, 146 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 150, 170, 91 ] 240 2 80 0 9 [ 1, 70, 70, 71 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 91, 60, 110, 181 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 161, 165, 75, 146 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 175, 156, 24, 139 ] , [ 181, 0, 0, 181 ] 252 2 126 16 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, 75, 1 ] , [ 187, 90, 54, 163 ] Name Index con len c2 c3 SL(2,Z/211Z) Matrix Generators Γ0(211) 212 1 212 0 2 [ 10, 130, 7, 70 ] , [ 51, 32, 190, 82 ] , [ 115, 32, 107, 94 ] , [ 210, 0, 0, 210 ] Name Index con len c2 c3 SL(2,Z/212Z) Matrix Generators 216 1 216 4 0 [ 54, 53, 53, 1 ] , [ 105, 0, 0, 105 ] , [ 107, 0, 0, 107 ] , [ 153, 128, 20, 165 ] , [ 160, 53, 159, 160 ] , [ 181, 208, 44, 33 ] , [ 201, 0, 68, 77 ] 216 2 54 4 0 [ 1, 53, 53, 54 ] , [ 1, 106, 106, 1 ] , [ 46, 131, 153, 44 ] , [ 107, 0, 106, 107 ] , [ 157, 8, 154, 205 ] , [ 161, 20, 204, 53 ] , [ 181, 96, 140, 93 ] Name Index con len c2 c3 SL(2,Z/215Z) Matrix Generators 220 1 220 0 4 [ 44, 0, 0, 44 ] , [ 51, 175, 170, 166 ] , [ 96, 20, 100, 41 ] , [ 136, 25, 125, 121 ] , [ 142, 13, 31, 127 ] , [ 149, 72, 89, 56 ] , [ 173, 129, 0, 87 ] , [ 214, 0, 0, 214 ] Name Index con len c2 c3 SL(2,Z/216Z) Matrix Generators 432 1 36 0 0 [ 1, 0, 108, 1 ] , [ 1, 0, 162, 1 ] , [ 1, 0, 189, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 168, 0, 1 ] , [ 109, 0, 108, 109 ] , [ 121, 96, 0, 25 ] , [ 143, 144, 162, 71 ] , [ 145, 72, 0, 73 ] , [ 145, 200, 144, 145 ] , [ 163, 108, 162, 163 ] Name Index con len c2 c3 SL(2,Z/218Z) Matrix Generators 220 1 110 0 4 [ 53, 94, 14, 103 ] , [ 73, 164, 94, 35 ] , [ 110, 109, 109, 1 ] , [ 115, 76, 156, 105 ] , [ 129, 16, 174, 3 ] , [ 215, 20, 54, 3 ] , [ 217, 0, 0, 217 ] Name Index con len c2 c3 SL(2,Z/219Z) Matrix Generators 222 1 74 6 0 [ 1, 146, 146, 74 ] , [ 28, 159, 45, 193 ] , [ 52, 183, 96, 22 ] , [ 67, 33, 204, 58 ] , [ 74, 0, 0, 74 ] , [ 74, 146, 146, 1 ] , [ 124, 183, 96, 94 ] , [ 148, 3, 90, 172 ] , [ 184, 87, 60, 1 ] 222 2 74 6 0 [ 1, 146, 146, 74 ] , [ 28, 159, 45, 193 ] , [ 52, 183, 96, 22 ] , [ 67, 33, 204, 58 ] , [ 74, 0, 0, 74 ] , [ 74, 146, 146, 1 ] , [ 94, 108, 4, 184 ] , [ 124, 183, 96, 94 ] , [ 148, 3, 90, 172 ] Name Index con len c2 c3 SL(2,Z/222Z) Matrix Generators 228 1 76 0 6 [ 1, 111, 185, 112 ] , [ 1, 148, 148, 149 ] , [ 1, 204, 216, 109 ] , [ 73, 18, 6, 187 ] , [ 75, 74, 148, 75 ] , [ 139, 138, 120, 199 ] , [ 149, 0, 0, 149 ] , [ 217, 60, 108, 169 ] , [ 217, 120, 144, 7 ] 228 1 114 8 0 [ 37, 168, 24, 187 ] , [ 43, 114, 192, 127 ] , [ 75, 74, 37, 75 ] , [ 91, 156, 216, 19 ] , [ 112, 111, 111, 1 ] , [ 115, 60, 66, 19 ] , [ 149, 0, 0, 149 ] , [ 149, 74, 185, 1 ] , [ 205, 66, 6, 55 ] 228 2 76 0 6 [ 1, 148, 148, 149 ] , [ 1, 204, 216, 109 ] , [ 73, 18, 6, 187 ] , [ 75, 74, 148, 75 ] , [ 139, 27, 9, 88 ] , [ 139, 138, 194, 199 ] , [ 149, 0, 0, 149 ] , [ 217, 60, 182, 169 ] , [ 217, 120, 144, 7 ] Name Index con len c2 c3 SL(2,Z/234Z) Matrix Generators 252 2 126 16 0 [ 10, 171, 99, 55 ] , [ 53, 0, 0, 53 ] , [ 62, 67, 229, 172 ] , [ 79, 0, 156, 157 ] , [ 118, 117, 117, 1 ] , [ 127, 126, 108, 109 ] , [ 157, 78, 0, 79 ] , [ 181, 0, 0, 181 ] , [ 192, 67, 47, 42 ] , [ 193, 54, 96, 79 ] Name Index con len c2 c3 SL(2,Z/242Z) Matrix Generators 264 1 132 0 0 [ 27, 200, 212, 217 ] , [ 45, 22, 154, 199 ] , [ 122, 121, 121, 1 ] , [ 141, 176, 146, 93 ] , [ 155, 154, 0, 89 ] , [ 241, 0, 0, 241 ] Name Index con len c2 c3 SL(2,Z/244Z) Matrix Generators 248 2 62 4 8 [ 1, 122, 122, 1 ] , [ 1, 183, 183, 62 ] , [ 5, 136, 220, 177 ] , [ 21, 240, 144, 205 ] , [ 77, 229, 168, 37 ] , [ 89, 52, 20, 157 ] , [ 97, 126, 188, 209 ] , [ 123, 0, 122, 123 ] Name Index con len c2 c3 SL(2,Z/260Z) Matrix Generators 280 2 70 4 16 [ 1, 130, 130, 1 ] , [ 1, 156, 208, 209 ] , [ 53, 208, 0, 157 ] , [ 105, 52, 52, 209 ] , [ 121, 220, 100, 141 ] , [ 131, 130, 0, 131 ] , [ 131, 195, 65, 196 ] , [ 181, 0, 130, 181 ] , [ 209, 0, 0, 209 ] , [ 221, 20, 115, 221 ] , [ 241, 200, 220, 161 ] Name Index con len c2 c3 SL(2,Z/289Z) Matrix Generators Γ0(289) 306 1 306 2 0 [ 35, 0, 51, 256 ] , [ 101, 238, 34, 186 ] , [ 116, 129, 237, 139 ] , [ 120, 34, 17, 171 ] , [ 145, 63, 125, 146 ] , [ 227, 191, 156, 158 ] , [ 258, 26, 283, 5 ] , [ 273, 0, 119, 18 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA