[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 10

Groups of Level: 9 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 37 38 39 40 42 44 45 46 48 50 52 54 55 56 57 60 63 66 70 72 74 75 76 77 78 80 81 84 86 88 90 92 96 99 100 105 108 110 112 114 115 117 118 124 125 127 129 134 140 143 144 147 150 156 165 168
 
 
^ Level 9 Name Index  con   len   c2   c3  > SL(2,Z/9Z) Matrix Generators
  9A10 Γ(9) 324 1 1 0 0 [ 8, 0, 0, 8 ]
^ Level 15 Name Index  con   len   c2   c3  > SL(2,Z/15Z) Matrix Generators
  15A10 180 1 1 0 0 [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ]
  15B10 180 1 5 0 0 [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ]
^ Level 16 Name Index  con   len   c2   c3  > SL(2,Z/16Z) Matrix Generators
  16A10 192 1 48 4 0 [ 0, 5, 3, 8 ] , [ 1, 8, 8, 1 ] , [ 7, 12, 4, 7 ] , [ 15, 0, 0, 15 ]
  16B10 192 1 48 4 0 [ 1, 8, 8, 1 ] , [ 1, 12, 4, 1 ] , [ 4, 11, 13, 4 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 12, 15 ]
  16C10 192 1 48 4 0 [ 0, 1, 15, 0 ] , [ 0, 7, 9, 8 ] , [ 1, 8, 8, 1 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ]
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A10 162 1 27 0 0 [ 1, 12, 2, 7 ] , [ 9, 10, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ]
  18B10 162 1 27 0 0 [ 1, 9, 9, 10 ] , [ 1, 14, 14, 17 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ]
  18C10 162 1 27 0 0 [ 11, 10, 4, 7 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 2, 4, 3 ]
  18D10 216 1 4 0 0 [ 1, 0, 12, 1 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ]
  18E10 216 1 4 0 0 [ 13, 0, 0, 7 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ]
  18F10 216 1 8 0 0 [ 4, 9, 15, 7 ] , [ 7, 9, 9, 4 ] , [ 17, 0, 0, 17 ]
  18G10 216 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 12, 2, 7 ] , [ 17, 0, 0, 17 ]
  18H10 216 1 12 0 0 [ 1, 0, 12, 1 ] , [ 7, 6, 2, 7 ] , [ 17, 0, 0, 17 ]
  18I10 216 1 24 0 0 [ 1, 0, 12, 1 ] , [ 4, 9, 13, 7 ] , [ 17, 0, 0, 17 ]
  18J10 216 1 24 0 0 [ 1, 0, 6, 1 ] , [ 7, 3, 13, 16 ] , [ 17, 0, 0, 17 ]
  18K10 216 1 24 0 0 [ 7, 15, 3, 4 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ]
  18L10 243 1 81 9 0 [ 1, 14, 14, 17 ] , [ 4, 1, 1, 14 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ]
  18M10 324 1 12 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 12, 1 ] , [ 17, 0, 0, 17 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A10 180 1 15 0 0 [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 12, 13 ] , [ 17, 16, 0, 13 ]
  20B10 180 1 30 6 0 [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 0, 11 ] , [ 12, 15, 17, 8 ] , [ 16, 15, 5, 16 ]
  20C10 180 1 45 0 0 [ 1, 0, 10, 1 ] , [ 3, 0, 3, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ]
  20D10 180 1 45 0 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ] , [ 13, 10, 8, 17 ]
  20E10 180 1 45 0 0 [ 1, 0, 10, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 6, 0, 17 ]
  20F10 180 1 90 6 0 [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 17, 6, 15, 3 ] , [ 17, 16, 0, 13 ]
^ Level 21 Name Index  con   len   c2   c3  > SL(2,Z/21Z) Matrix Generators
  21A10 168 1 56 0 3 [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 16, 0, 14, 4 ]
  21B10 168 2 56 0 3 [ 4, 6, 3, 10 ] , [ 6, 13, 8, 14 ] , [ 6, 20, 1, 7 ] , [ 10, 15, 18, 4 ] , [ 13, 0, 0, 13 ] , [ 15, 1, 20, 14 ] , [ 19, 12, 6, 16 ]
^ Level 22 Name Index  con   len   c2   c3  > SL(2,Z/22Z) Matrix Generators
  22A10 198 1 198 6 0 [ 1, 0, 11, 1 ] , [ 5, 2, 20, 17 ] , [ 9, 10, 0, 5 ] , [ 21, 0, 0, 21 ]
  22B10 220 2 55 12 4 [ 3, 12, 1, 19 ] , [ 12, 11, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 19, 10, 21, 3 ] , [ 21, 0, 0, 21 ]
^ Level 24 Name Index  con   len   c2   c3  > SL(2,Z/24Z) Matrix Generators
  24A10 144 1 1 0 0 [ 1, 12, 12, 1 ] , [ 3, 8, 4, 3 ] , [ 7, 0, 0, 7 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ]
  24B10 144 1 3 0 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] , [ 23, 20, 8, 7 ]
  24C10 144 1 12 0 0 [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 9, 15, 4 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ]
  24D10 144 1 24 0 0 [ 5, 0, 0, 5 ] , [ 7, 0, 12, 7 ] , [ 9, 14, 16, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 2, 14, 23 ]
  24E10 144 1 36 0 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 16, 16, 5 ] , [ 16, 1, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ]
^ Level 25 Name Index  con   len   c2   c3  > SL(2,Z/25Z) Matrix Generators
  25A10 150 1 150 2 0 [ 3, 5, 21, 2 ] , [ 6, 0, 10, 21 ] , [ 14, 0, 5, 9 ] , [ 16, 15, 15, 11 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A10 182 1 91 0 8 [ 1, 1, 23, 24 ] , [ 1, 13, 13, 14 ] , [ 7, 23, 21, 6 ] , [ 17, 4, 12, 9 ] , [ 25, 0, 0, 25 ]
  26B10 182 1 91 8 2 [ 1, 13, 13, 14 ] , [ 3, 6, 7, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 11, 9 ] , [ 25, 0, 0, 25 ]
  26C10 182 1 91 8 2 [ 1, 13, 13, 14 ] , [ 3, 6, 7, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 24, 9 ] , [ 25, 0, 0, 25 ]
  26D10 Γ1(26) 252 1 42 0 0 [ 11, 3, 4, 13 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ]
  26E10 252 1 42 12 0 [ 19, 19, 22, 7 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ]
^ Level 27 Name Index  con   len   c2   c3  > SL(2,Z/27Z) Matrix Generators
  27A10 162 2 81 6 0 [ 0, 1, 26, 0 ] , [ 5, 3, 3, 2 ] , [ 10, 0, 9, 19 ] , [ 10, 18, 18, 19 ] , [ 22, 24, 24, 25 ]
  27B10 324 1 4 0 0 [ 1, 0, 3, 1 ] , [ 1, 0, 9, 1 ] , [ 19, 0, 0, 10 ] , [ 26, 0, 0, 26 ]
^ Level 28 Name Index  con   len   c2   c3  > SL(2,Z/28Z) Matrix Generators
  28A10 168 2 42 8 0 [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 8, 20, 13 ] , [ 21, 12, 4, 21 ] , [ 23, 3, 22, 9 ]
  28B10 168 2 84 8 0 [ 1, 7, 7, 22 ] , [ 9, 20, 12, 5 ] , [ 11, 11, 22, 17 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 23, 18, 9 ]
  28C10 288 1 24 0 0 [ 1, 14, 0, 1 ] , [ 1, 14, 14, 1 ] , [ 21, 16, 24, 9 ] , [ 23, 8, 12, 3 ]
  28D10 Γ1(28) 288 1 48 0 0 [ 5, 20, 16, 25 ] , [ 9, 12, 4, 21 ] , [ 13, 4, 20, 17 ] , [ 15, 21, 0, 15 ] , [ 17, 10, 8, 13 ] , [ 19, 16, 24, 7 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A10 180 1 15 12 0 [ 1, 10, 25, 11 ] , [ 1, 15, 15, 16 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ]
  30B10 180 1 15 12 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 0, 21, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]
  30C10 180 1 30 12 0 [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ]
  30D10 180 1 45 12 0 [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 9, 1 ] , [ 23, 20, 8, 7 ] , [ 29, 0, 0, 29 ]
  30E10 180 1 45 12 0 [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 9, 1 ] , [ 23, 20, 23, 7 ] , [ 29, 0, 0, 29 ]
  30F10 180 1 60 0 0 [ 1, 20, 10, 21 ] , [ 1, 24, 12, 19 ] , [ 7, 0, 9, 13 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 11 ] , [ 21, 20, 25, 11 ]
  30G10 180 1 60 12 0 [ 1, 10, 10, 11 ] , [ 4, 3, 3, 25 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 9, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]
  30H10 180 1 90 8 0 [ 1, 0, 15, 1 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 4, 13 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 19 ] , [ 27, 20, 4, 3 ]
  30I10 180 2 45 12 0 [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 23, 20, 23, 7 ] , [ 29, 0, 0, 29 ]
^ Level 32 Name Index  con   len   c2   c3  > SL(2,Z/32Z) Matrix Generators
  32A10 192 1 48 4 0 [ 0, 1, 31, 0 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 0, 25 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 20, 5, 3, 4 ] , [ 24, 9, 7, 24 ] , [ 25, 0, 0, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ]
  32B10 192 1 48 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 7, 28, 4, 7 ] , [ 12, 3, 5, 28 ] , [ 17, 16, 16, 17 ] , [ 20, 21, 19, 4 ] , [ 25, 24, 8, 9 ] , [ 31, 24, 8, 31 ]
  32C10 192 1 48 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 12, 3, 5, 28 ] , [ 15, 4, 12, 31 ] , [ 17, 16, 16, 17 ] , [ 20, 21, 19, 4 ] , [ 25, 24, 8, 9 ] , [ 31, 24, 8, 31 ]
^ Level 33 Name Index  con   len   c2   c3  > SL(2,Z/33Z) Matrix Generators
  33A10 132 2 11 0 0 [ 1, 15, 24, 31 ] , [ 23, 0, 0, 23 ] , [ 32, 0, 0, 32 ] , [ 32, 6, 18, 23 ]
  33B10 165 1 55 9 0 [ 1, 11, 11, 23 ] , [ 10, 0, 0, 10 ] , [ 12, 11, 22, 12 ] , [ 14, 27, 3, 20 ] , [ 19, 10, 10, 14 ] , [ 23, 0, 0, 23 ] , [ 25, 18, 30, 19 ]
  33C10 198 1 66 18 0 [ 1, 22, 22, 23 ] , [ 1, 30, 18, 13 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 22, 1 ] , [ 30, 16, 20, 3 ] , [ 32, 0, 0, 32 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A10 140 2 70 0 2 [ 1, 21, 7, 8 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 29, 0, 0, 29 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A10 144 1 4 0 0 [ 1, 0, 24, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 25, 24, 16, 1 ] , [ 35, 0, 0, 35 ]
  36B10 144 1 4 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 28, 13 ] , [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ]
  36C10 144 1 4 0 0 [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 34, 27, 27, 13 ] , [ 35, 0, 0, 35 ]
  36D10 144 1 8 0 0 [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 0, 19 ] , [ 22, 15, 11, 1 ] , [ 35, 0, 0, 35 ]
  36E10 144 1 8 0 0 [ 1, 0, 12, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 0, 19 ] , [ 22, 9, 25, 25 ] , [ 35, 0, 0, 35 ]
  36F10 144 1 8 0 0 [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 21, 27, 7 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
  36G10 144 1 12 0 0 [ 1, 0, 24, 1 ] , [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 4, 25 ] , [ 35, 0, 0, 35 ]
  36H10 144 1 16 0 0 [ 10, 27, 9, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ]
  36I10 144 1 24 0 0 [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 12, 4, 1 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] , [ 31, 15, 29, 28 ]
  36J10 144 1 24 0 0 [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ]
  36K10 144 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 12, 25 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ]
  36L10 144 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ]
  36M10 162 1 81 0 0 [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 9, 28, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 22, 22, 1 ] , [ 19, 18, 18, 19 ] , [ 22, 19, 1, 32 ]
  36N10 162 1 81 0 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ] , [ 33, 4, 11, 21 ] , [ 33, 20, 4, 21 ]
  36O10 162 1 81 6 0 [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 9, 28, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 22, 22, 1 ] , [ 19, 18, 18, 19 ] , [ 22, 19, 1, 14 ]
  36P10 162 2 81 6 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 29, 28, 4, 25 ] , [ 33, 2, 22, 21 ] , [ 33, 4, 11, 21 ]
  36Q10 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]
  36R10 216 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 12, 20, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]
  36S10 216 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 20, 25 ] , [ 35, 0, 0, 35 ]
  36T10 216 1 108 24 0 [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 20, 19, 13, 16 ] , [ 33, 8, 28, 9 ]
^ Level 37 Name Index  con   len   c2   c3  > SL(2,Z/37Z) Matrix Generators
  37A10 228 1 38 0 12 [ 29, 18, 3, 7 ] , [ 30, 18, 3, 8 ] , [ 30, 26, 26, 9 ]
^ Level 38 Name Index  con   len   c2   c3  > SL(2,Z/38Z) Matrix Generators
  38A10 180 1 60 0 0 [ 1, 0, 19, 1 ] , [ 9, 4, 22, 31 ] , [ 37, 0, 0, 37 ] , [ 37, 32, 16, 19 ]
^ Level 39 Name Index  con   len   c2   c3  > SL(2,Z/39Z) Matrix Generators
  39A10 168 2 56 0 3 [ 7, 3, 18, 19 ] , [ 7, 6, 23, 31 ] , [ 7, 21, 15, 34 ] , [ 14, 0, 0, 14 ] , [ 25, 0, 0, 25 ]
  39B10 252 1 42 24 0 [ 14, 0, 0, 14 ] , [ 16, 2, 8, 23 ] , [ 16, 28, 34, 23 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A10 160 1 160 8 1 [ 1, 5, 25, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 16, 33 ] , [ 21, 0, 0, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ]
  40B10 160 2 80 4 4 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 26, 35, 35, 21 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ]
  40C10 180 1 15 12 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 16, 5, 35, 16 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ]
  40D10 180 1 30 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 32, 17 ]
  40E10 180 1 30 6 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ]
  40F10 180 1 90 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 10, 30, 31 ] , [ 14, 23, 1, 16 ] , [ 21, 20, 20, 21 ] , [ 38, 15, 17, 32 ]
  40G10 180 1 90 6 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ] , [ 38, 15, 37, 22 ] , [ 38, 31, 5, 22 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A10 126 1 21 0 0 [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 18, 1 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ]
  42B10 126 1 42 0 0 [ 1, 28, 28, 29 ] , [ 8, 35, 21, 29 ] , [ 14, 5, 39, 35 ] , [ 15, 14, 28, 15 ] , [ 15, 23, 25, 2 ] , [ 19, 22, 16, 23 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ]
  42C10 126 2 7 0 0 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ]
  42D10 144 1 8 0 0 [ 1, 14, 14, 29 ] , [ 1, 21, 21, 22 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 14, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ]
  42E10 144 1 8 0 0 [ 1, 14, 14, 29 ] , [ 7, 12, 18, 19 ] , [ 7, 18, 12, 13 ] , [ 9, 40, 32, 21 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ]
  42F10 144 1 16 0 0 [ 1, 14, 14, 29 ] , [ 22, 7, 21, 1 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 36, 12, 31 ]
  42G10 144 1 16 0 0 [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 14, 39, 33, 41 ] , [ 15, 28, 14, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 31, 24, 36, 13 ]
  42H10 144 1 24 0 0 [ 1, 14, 35, 29 ] , [ 1, 21, 21, 22 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 35, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ]
  42I10 144 1 72 0 0 [ 7, 12, 18, 19 ] , [ 7, 18, 12, 13 ] , [ 15, 35, 28, 15 ] , [ 23, 26, 32, 7 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ]
  42J10 144 2 8 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 4, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ]
  42K10 189 1 63 15 0 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A10 132 2 33 0 0 [ 1, 0, 22, 1 ] , [ 9, 4, 24, 1 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 37, 36, 42, 29 ]
  44B10 144 1 12 0 0 [ 1, 28, 32, 17 ] , [ 3, 38, 8, 43 ] , [ 21, 22, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 27, 6, 10, 43 ] , [ 37, 24, 12, 9 ] , [ 43, 0, 0, 43 ]
  44C10 144 1 72 0 0 [ 1, 22, 11, 23 ] , [ 5, 32, 16, 41 ] , [ 21, 22, 11, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 33, 16, 24, 25 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A10 162 1 162 6 0 [ 1, 9, 0, 1 ] , [ 6, 35, 25, 11 ] , [ 26, 0, 0, 26 ] , [ 36, 10, 35, 36 ] , [ 37, 27, 0, 28 ] , [ 41, 10, 10, 31 ] , [ 44, 0, 0, 44 ]
  45B10 180 1 20 0 0 [ 1, 27, 9, 19 ] , [ 1, 40, 0, 1 ] , [ 14, 3, 36, 11 ] , [ 19, 0, 0, 19 ] , [ 28, 36, 0, 37 ] , [ 31, 0, 0, 16 ] , [ 31, 15, 0, 16 ]
  45C10 180 2 20 0 9 [ 1, 30, 0, 1 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 0, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] , [ 40, 14, 21, 4 ]
  45D10 180 2 90 16 0 [ 6, 5, 25, 36 ] , [ 10, 27, 27, 19 ] , [ 11, 15, 15, 41 ] , [ 13, 31, 25, 32 ] , [ 16, 0, 15, 31 ] , [ 31, 15, 15, 16 ] , [ 44, 0, 0, 44 ]
^ Level 46 Name Index  con   len   c2   c3  > SL(2,Z/46Z) Matrix Generators
  46A10 144 1 24 0 0 [ 3, 26, 14, 45 ] , [ 21, 30, 2, 27 ] , [ 23, 30, 36, 11 ] , [ 45, 0, 0, 45 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A10 144 1 3 0 0 [ 1, 0, 24, 1 ] , [ 5, 0, 42, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 27, 32, 34, 3 ] , [ 33, 32, 16, 33 ] , [ 37, 24, 24, 13 ]
  48B10 144 1 9 0 0 [ 1, 0, 24, 1 ] , [ 5, 0, 42, 29 ] , [ 5, 32, 32, 13 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 21, 32, 16, 45 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ]
  48C10 144 1 12 0 0 [ 0, 1, 47, 36 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48D10 144 1 36 0 0 [ 0, 1, 47, 36 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 13, 28, 28, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 45, 28, 44, 21 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48E10 144 1 72 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 3, 28, 5, 15 ] , [ 5, 0, 36, 29 ] , [ 5, 24, 42, 29 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 0, 36, 25 ] , [ 41, 20, 2, 1 ] , [ 47, 0, 0, 47 ]
  48F10 144 2 24 6 0 [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 24, 1, 47, 36 ] , [ 25, 12, 12, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48G10 144 2 72 6 0 [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 16, 17, 47, 20 ] , [ 16, 33, 15, 4 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 36 ] , [ 25, 12, 12, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48H10 192 1 96 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 4 ] , [ 17, 0, 32, 17 ] , [ 31, 12, 36, 31 ]
  48I10 192 1 96 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 16 ] , [ 17, 0, 32, 17 ] , [ 31, 12, 36, 31 ] , [ 40, 15, 33, 4 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A10 150 1 75 0 0 [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 7, 36, 0, 43 ] , [ 27, 10, 22, 23 ] , [ 31, 40, 30, 21 ] , [ 39, 20, 20, 9 ]
^ Level 52 Name Index  con   len   c2   c3  > SL(2,Z/52Z) Matrix Generators
  52A10 252 1 42 12 0 [ 19, 45, 22, 33 ] , [ 21, 18, 24, 33 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 25, 44, 10, 1 ] , [ 27, 26, 0, 27 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A10 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 13, 18, 0, 25 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 18, 22, 31 ] , [ 37, 0, 0, 19 ]
  54B10 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 19, 0, 24, 37 ] , [ 28, 27, 27, 1 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ] , [ 43, 36, 26, 13 ]
  54C10 216 1 12 0 18 [ 1, 0, 18, 1 ] , [ 1, 12, 2, 25 ] , [ 1, 30, 44, 25 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 36, 37 ] , [ 28, 27, 27, 1 ] , [ 53, 0, 0, 53 ]
  54D10 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 10, 9, 9, 19 ] , [ 19, 0, 18, 37 ] , [ 37, 0, 12, 19 ] , [ 49, 18, 22, 7 ] , [ 53, 0, 0, 53 ]
  54E10 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 13, 27, 31, 52 ] , [ 13, 36, 38, 43 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ]
  54F10 216 1 24 0 18 [ 1, 0, 36, 1 ] , [ 16, 39, 29, 37 ] , [ 25, 0, 0, 13 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 53, 0, 0, 53 ]
  54G10 216 1 24 0 18 [ 1, 0, 36, 1 ] , [ 16, 39, 29, 37 ] , [ 25, 27, 27, 40 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 53, 0, 0, 53 ]
  54H10 216 2 24 0 0 [ 1, 0, 18, 1 ] , [ 13, 9, 11, 16 ] , [ 13, 9, 27, 52 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ]
  54I10 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ] , [ 43, 36, 26, 13 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A10 132 2 66 0 0 [ 1, 44, 0, 1 ] , [ 29, 25, 20, 4 ] , [ 34, 0, 0, 34 ] , [ 54, 0, 0, 54 ] , [ 54, 35, 5, 44 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A10 168 2 42 8 0 [ 1, 28, 0, 1 ] , [ 9, 19, 38, 43 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 19, 36, 16, 51 ] , [ 25, 0, 24, 9 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
  56B10 168 2 42 12 0 [ 1, 7, 42, 15 ] , [ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 25, 32, 8, 17 ] , [ 29, 0, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ]
  56C10 168 2 42 12 0 [ 9, 24, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]
  56D10 168 2 84 12 0 [ 1, 28, 0, 1 ] , [ 1, 55, 26, 31 ] , [ 7, 10, 44, 55 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 25, 0, 24, 9 ] , [ 29, 7, 42, 43 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
  56E10 168 2 84 12 0 [ 1, 28, 0, 1 ] , [ 1, 48, 40, 17 ] , [ 7, 10, 44, 55 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 25, 0, 24, 9 ] , [ 29, 7, 42, 43 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
  56F10 288 1 24 0 0 [ 9, 8, 12, 17 ] , [ 9, 40, 32, 49 ] , [ 19, 41, 44, 39 ] , [ 19, 48, 44, 11 ] , [ 29, 28, 0, 29 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ]
^ Level 57 Name Index  con   len   c2   c3  > SL(2,Z/57Z) Matrix Generators
  57A10 171 2 57 15 0 [ 20, 0, 0, 20 ] , [ 20, 19, 19, 1 ] , [ 20, 38, 38, 1 ] , [ 31, 4, 16, 26 ] , [ 37, 0, 0, 37 ] , [ 55, 20, 50, 41 ]
  57B10 180 2 20 0 9 [ 1, 19, 19, 20 ] , [ 1, 38, 38, 20 ] , [ 20, 0, 0, 20 ] , [ 37, 0, 0, 37 ] , [ 37, 39, 15, 22 ] , [ 38, 34, 24, 56 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A10 120 1 20 0 0 [ 1, 40, 40, 41 ] , [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
  60B10 180 1 20 18 0 [ 1, 40, 40, 41 ] , [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
  60C10 180 1 30 12 0 [ 1, 0, 30, 1 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 0, 45, 31 ] , [ 37, 30, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A10 168 2 56 0 3 [ 10, 36, 18, 46 ] , [ 13, 27, 36, 7 ] , [ 15, 28, 56, 50 ] , [ 19, 54, 27, 37 ] , [ 22, 42, 21, 43 ] , [ 28, 36, 6, 55 ] , [ 42, 29, 34, 13 ] , [ 43, 0, 21, 22 ] , [ 46, 6, 24, 10 ] , [ 55, 0, 0, 55 ] , [ 57, 22, 62, 56 ]
  63B10 189 2 189 21 0 [ 1, 42, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 10, 36, 18, 46 ] , [ 19, 36, 45, 19 ] , [ 19, 54, 27, 37 ] , [ 28, 18, 54, 28 ] , [ 46, 27, 45, 10 ] , [ 49, 8, 62, 41 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] , [ 62, 62, 29, 28 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A10 132 2 132 0 0 [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 10, 21, 39, 16 ] , [ 23, 0, 22, 23 ] , [ 34, 33, 33, 34 ] , [ 35, 24, 36, 53 ] , [ 43, 0, 0, 43 ]
^ Level 70 Name Index  con   len   c2   c3  > SL(2,Z/70Z) Matrix Generators
  70A10 140 2 70 4 2 [ 1, 35, 35, 36 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 26, 55, 25, 26 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 35, 43 ] , [ 57, 56, 28, 57 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A10 144 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 36, 27, 37 ] , [ 1, 48, 0, 1 ] , [ 11, 28, 51, 71 ] , [ 25, 56, 48, 1 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 41, 64, 33, 41 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 6, 49 ] , [ 59, 28, 51, 23 ]
  72B10 144 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 48, 0, 1 ] , [ 7, 12, 36, 31 ] , [ 19, 36, 36, 19 ] , [ 19, 36, 54, 19 ] , [ 19, 68, 42, 67 ] , [ 25, 56, 24, 25 ] , [ 29, 56, 69, 29 ] , [ 37, 0, 36, 37 ] , [ 49, 24, 0, 25 ] , [ 65, 20, 24, 65 ]
  72C10 144 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 18, 27, 55 ] , [ 1, 24, 0, 1 ] , [ 1, 56, 48, 25 ] , [ 5, 8, 66, 5 ] , [ 17, 40, 24, 65 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 55, 56, 48, 7 ] , [ 59, 62, 57, 5 ]
  72D10 144 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 8, 24, 49 ] , [ 1, 24, 0, 1 ] , [ 1, 32, 24, 49 ] , [ 19, 0, 36, 19 ] , [ 19, 18, 45, 1 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 55, 18, 45, 37 ] , [ 65, 16, 48, 65 ]
  72E10 144 1 36 8 0 [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 40, 41 ] , [ 55, 0, 0, 55 ] , [ 60, 59, 61, 48 ]
  72F10 144 1 36 8 0 [ 8, 67, 13, 28 ] , [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 40, 41 ] , [ 55, 0, 0, 55 ]
  72G10 144 1 72 8 0 [ 1, 36, 36, 1 ] , [ 1, 60, 60, 1 ] , [ 5, 9, 33, 2 ] , [ 15, 55, 71, 6 ] , [ 22, 27, 15, 25 ] , [ 22, 63, 51, 25 ] , [ 25, 0, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 46, 15, 3, 1 ] , [ 49, 48, 48, 25 ] , [ 52, 23, 41, 68 ] , [ 55, 36, 36, 55 ]
  72H10 144 1 72 8 0 [ 1, 16, 28, 17 ] , [ 1, 36, 36, 1 ] , [ 25, 24, 0, 49 ] , [ 29, 12, 0, 5 ] , [ 37, 36, 0, 37 ] , [ 40, 53, 59, 44 ] , [ 49, 36, 12, 25 ] , [ 49, 64, 28, 41 ] , [ 55, 36, 36, 55 ] , [ 58, 27, 27, 61 ] , [ 67, 4, 52, 59 ] , [ 67, 60, 24, 43 ]
  72I10 144 2 36 8 0 [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 4, 41 ] , [ 55, 0, 0, 55 ] , [ 60, 59, 61, 12 ]
  72J10 144 2 72 4 0 [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 10, 27, 27, 37 ] , [ 16, 41, 71, 56 ] , [ 17, 0, 0, 17 ] , [ 19, 48, 36, 19 ] , [ 25, 68, 8, 65 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 36, 55 ]
  72K10 144 2 72 4 0 [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 19, 48, 36, 19 ] , [ 25, 32, 8, 65 ] , [ 28, 9, 63, 64 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 36, 55 ]
  72L10 144 2 72 8 0 [ 1, 24, 48, 1 ] , [ 1, 36, 36, 1 ] , [ 1, 69, 33, 46 ] , [ 17, 48, 24, 17 ] , [ 19, 0, 36, 19 ] , [ 22, 27, 39, 25 ] , [ 37, 21, 45, 10 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 49, 68, 20, 41 ] , [ 52, 37, 67, 20 ] , [ 55, 60, 12, 55 ]
^ Level 74 Name Index  con   len   c2   c3  > SL(2,Z/74Z) Matrix Generators
  74A10 228 1 38 12 12 [ 1, 37, 37, 38 ] , [ 7, 16, 15, 45 ] , [ 29, 18, 40, 7 ] , [ 67, 18, 40, 45 ] , [ 67, 26, 26, 9 ]
^ Level 75 Name Index  con   len   c2   c3  > SL(2,Z/75Z) Matrix Generators
  75A10 180 1 6 0 0 [ 16, 15, 0, 61 ] , [ 22, 18, 63, 55 ] , [ 26, 0, 0, 26 ] , [ 26, 50, 50, 1 ] , [ 31, 15, 15, 46 ] , [ 44, 0, 45, 29 ] , [ 51, 50, 25, 51 ]
^ Level 76 Name Index  con   len   c2   c3  > SL(2,Z/76Z) Matrix Generators
  76A10 240 1 20 0 24 [ 1, 19, 19, 58 ] , [ 1, 38, 38, 1 ] , [ 17, 14, 28, 41 ] , [ 39, 38, 0, 39 ] , [ 41, 36, 16, 53 ] , [ 65, 32, 24, 13 ]
^ Level 77 Name Index  con   len   c2   c3  > SL(2,Z/77Z) Matrix Generators
  77A10 154 2 77 6 4 [ 21, 72, 73, 56 ] , [ 34, 0, 0, 34 ] , [ 43, 0, 0, 43 ] , [ 50, 63, 14, 50 ] , [ 56, 44, 66, 56 ] , [ 56, 55, 22, 1 ] , [ 67, 11, 22, 45 ]
  77B10 154 2 77 6 4 [ 1, 66, 11, 34 ] , [ 10, 66, 33, 10 ] , [ 13, 4, 24, 43 ] , [ 23, 33, 55, 12 ] , [ 34, 0, 0, 34 ] , [ 45, 0, 22, 12 ] , [ 76, 28, 7, 34 ]
^ Level 78 Name Index  con   len   c2   c3  > SL(2,Z/78Z) Matrix Generators
  78A10 252 1 14 36 0 [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 52, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 21, 49 ] , [ 73, 18, 24, 7 ]
^ Level 80 Name Index  con   len   c2   c3  > SL(2,Z/80Z) Matrix Generators
  80A10 120 1 15 0 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 57, 18, 66, 77 ] , [ 71, 60, 60, 71 ]
  80B10 120 1 60 0 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 76 ] , [ 17, 32, 64, 17 ] , [ 17, 64, 0, 33 ] , [ 33, 0, 32, 17 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 46, 55, 5, 6 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 20, 21 ] , [ 71, 20, 60, 71 ]
^ Level 81 Name Index  con   len   c2   c3  > SL(2,Z/81Z) Matrix Generators
  81A10 324 1 12 0 0 [ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 19, 54, 0, 64 ] , [ 40, 72, 16, 43 ] , [ 46, 27, 51, 37 ] , [ 53, 0, 0, 26 ] , [ 55, 0, 0, 28 ] , [ 58, 45, 79, 25 ] , [ 64, 27, 54, 19 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A10 126 2 21 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 49, 12, 60, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 72, 60, 13 ] , [ 71, 56, 35, 43 ]
  84B10 144 1 24 0 0 [ 1, 42, 0, 1 ] , [ 9, 40, 32, 21 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 42, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 29, 77, 56, 1 ] , [ 49, 12, 60, 61 ] , [ 49, 60, 12, 13 ] , [ 71, 42, 0, 71 ]
  84C10 144 1 72 0 0 [ 1, 42, 0, 1 ] , [ 15, 14, 70, 15 ] , [ 23, 26, 74, 7 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 42, 0, 29 ] , [ 49, 12, 60, 61 ] , [ 49, 60, 12, 13 ] , [ 57, 77, 70, 15 ] , [ 71, 42, 0, 71 ]
  84D10 144 2 24 0 0 [ 1, 0, 42, 1 ] , [ 1, 0, 63, 1 ] , [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 42, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 4, 1 ]
  84E10 168 2 56 12 3 [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 0, 43 ] , [ 43, 63, 42, 1 ] , [ 49, 24, 16, 13 ] , [ 61, 36, 72, 37 ] , [ 73, 24, 48, 25 ]
  84F10 168 2 84 16 0 [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 49, 12, 60, 49 ] , [ 51, 31, 50, 9 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 14, 1 ]
^ Level 86 Name Index  con   len   c2   c3  > SL(2,Z/86Z) Matrix Generators
  86A10 Γ0(86) 132 1 132 0 0 [ 5, 15, 18, 37 ] , [ 11, 36, 30, 67 ] , [ 17, 12, 66, 77 ] , [ 39, 26, 4, 49 ] , [ 67, 74, 40, 75 ]
^ Level 88 Name Index  con   len   c2   c3  > SL(2,Z/88Z) Matrix Generators
  88A10 132 2 66 0 0 [ 1, 0, 44, 1 ] , [ 1, 44, 55, 45 ] , [ 23, 44, 77, 67 ] , [ 45, 0, 22, 45 ] , [ 45, 0, 44, 45 ] , [ 47, 40, 32, 31 ] , [ 65, 0, 0, 65 ] , [ 71, 20, 79, 83 ]
  88B10 144 1 36 0 0 [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 1, 64, 80, 17 ] , [ 29, 44, 56, 85 ] , [ 45, 0, 44, 45 ] , [ 59, 52, 15, 55 ] , [ 65, 64, 24, 25 ] , [ 73, 0, 23, 41 ] , [ 81, 80, 8, 9 ]
  88C10 144 1 72 0 0 [ 1, 0, 22, 1 ] , [ 9, 32, 56, 33 ] , [ 25, 24, 20, 65 ] , [ 45, 0, 0, 45 ] , [ 45, 0, 44, 45 ] , [ 65, 64, 24, 25 ] , [ 67, 0, 44, 67 ] , [ 67, 66, 55, 45 ] , [ 73, 64, 64, 73 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A10 120 1 20 0 0 [ 1, 10, 30, 31 ] , [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 55, 54, 36, 19 ] , [ 73, 0, 72, 37 ] , [ 86, 25, 75, 71 ]
  90B10 120 1 40 0 0 [ 1, 65, 15, 76 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 54, 55 ] , [ 29, 75, 15, 14 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 73, 0, 72, 37 ]
  90C10 120 2 20 0 0 [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 80, 30, 61 ] , [ 14, 21, 39, 65 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 37, 54, 0, 73 ] , [ 55, 34, 36, 19 ]
  90D10 135 1 135 5 0 [ 1, 45, 0, 1 ] , [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 37, 36, 0, 73 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 71, 65, 80, 1 ] , [ 73, 0, 18, 37 ] , [ 81, 5, 70, 51 ]
  90E10 162 1 162 10 0 [ 19, 36, 36, 73 ] , [ 31, 50, 50, 11 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 41, 45, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 81, 40, 20, 21 ] , [ 89, 30, 60, 89 ]
  90F10 180 1 90 20 0 [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 70, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 32 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ]
^ Level 92 Name Index  con   len   c2   c3  > SL(2,Z/92Z) Matrix Generators
  92A10 Γ0(92) 144 1 72 0 0 [ 1, 0, 23, 1 ] , [ 1, 0, 46, 1 ] , [ 9, 48, 80, 69 ] , [ 29, 0, 12, 73 ] , [ 47, 0, 46, 47 ] , [ 61, 36, 84, 33 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A10 144 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 33, 80, 67, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ]
  96B10 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 33, 80, 67, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 16, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ]
  96C10 144 2 24 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 5, 24, 48, 77 ] , [ 25, 48, 0, 73 ] , [ 33, 64, 32, 33 ] , [ 35, 54, 45, 53 ] , [ 35, 94, 43, 25 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ]
  96D10 144 2 72 6 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 5, 24, 48, 77 ] , [ 25, 48, 0, 73 ] , [ 35, 30, 87, 17 ] , [ 35, 54, 45, 53 ] , [ 35, 94, 43, 25 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 67, 94, 55, 17 ] , [ 71, 48, 24, 23 ]
  96E10 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 72, 24, 1 ] , [ 22, 39, 21, 46 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 52, 27, 93, 28 ] , [ 55, 12, 36, 55 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 32, 65 ] , [ 85, 24, 24, 61 ]
  96F10 192 1 96 0 0 [ 1, 0, 32, 1 ] , [ 1, 6, 90, 61 ] , [ 1, 48, 48, 1 ] , [ 1, 72, 24, 1 ] , [ 22, 39, 21, 46 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 55, 12, 36, 55 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 32, 65 ] , [ 85, 24, 24, 61 ]
^ Level 99 Name Index  con   len   c2   c3  > SL(2,Z/99Z) Matrix Generators
  99A10 132 2 44 0 0 [ 1, 0, 33, 1 ] , [ 34, 0, 0, 67 ] , [ 34, 81, 90, 31 ] , [ 67, 0, 44, 34 ] , [ 89, 0, 66, 89 ] , [ 98, 0, 0, 98 ] , [ 98, 72, 18, 89 ]
^ Level 100 Name Index  con   len   c2   c3  > SL(2,Z/100Z) Matrix Generators
  100A10 180 1 90 0 0 [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 9, 58, 36, 21 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 69, 76, 83, 61 ]
^ Level 105 Name Index  con   len   c2   c3  > SL(2,Z/105Z) Matrix Generators
  105A10 120 1 40 0 0 [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 46, 0, 45, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] , [ 99, 14, 91, 15 ]
^ Level 108 Name Index  con   len   c2   c3  > SL(2,Z/108Z) Matrix Generators
  108A10 144 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 13, 0, 4, 25 ] , [ 13, 36, 92, 97 ] , [ 37, 0, 48, 73 ] , [ 55, 27, 81, 28 ] , [ 55, 54, 0, 55 ] , [ 71, 0, 84, 35 ] , [ 73, 0, 72, 37 ] , [ 73, 0, 84, 37 ]
  108B10 144 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 25, 0, 56, 13 ] , [ 37, 0, 12, 73 ] , [ 37, 0, 36, 73 ] , [ 49, 72, 48, 97 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 48, 37 ] , [ 97, 9, 25, 58 ] , [ 107, 0, 0, 107 ]
  108C10 144 1 24 0 6 [ 1, 0, 36, 1 ] , [ 1, 0, 72, 1 ] , [ 4, 81, 75, 7 ] , [ 13, 30, 74, 13 ] , [ 25, 54, 102, 13 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 0, 55 ] , [ 73, 0, 0, 37 ] , [ 73, 36, 12, 37 ] , [ 107, 0, 0, 107 ]
  108D10 144 1 48 0 0 [ 1, 0, 36, 1 ] , [ 1, 36, 16, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 48, 37 ] , [ 82, 27, 81, 82 ] , [ 85, 0, 92, 61 ] , [ 107, 0, 0, 107 ]
  108E10 144 1 48 0 6 [ 1, 0, 72, 1 ] , [ 1, 48, 32, 25 ] , [ 1, 96, 16, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 36, 37 ] , [ 73, 0, 72, 37 ] , [ 73, 72, 60, 37 ] , [ 82, 27, 81, 82 ] , [ 107, 0, 0, 107 ]
  108F10 Γ0(108) 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 13, 72, 0, 25 ] , [ 25, 72, 76, 85 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 30, 35 ] , [ 73, 0, 84, 37 ]
^ Level 110 Name Index  con   len   c2   c3  > SL(2,Z/110Z) Matrix Generators
  110A10 120 1 60 0 0 [ 1, 55, 55, 56 ] , [ 1, 88, 66, 89 ] , [ 21, 0, 0, 21 ] , [ 21, 60, 30, 91 ] , [ 23, 44, 0, 67 ] , [ 45, 66, 44, 89 ] , [ 71, 50, 40, 101 ] , [ 89, 0, 0, 89 ]
^ Level 112 Name Index  con   len   c2   c3  > SL(2,Z/112Z) Matrix Generators
  112A10 168 2 21 16 0 [ 1, 56, 0, 1 ] , [ 1, 63, 42, 71 ] , [ 29, 28, 0, 85 ] , [ 29, 76, 40, 101 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 57, 84, 56, 57 ] , [ 63, 66, 44, 55 ] , [ 65, 48, 96, 33 ] , [ 71, 56, 0, 71 ] , [ 81, 0, 80, 65 ] , [ 97, 0, 0, 97 ]
^ Level 114 Name Index  con   len   c2   c3  > SL(2,Z/114Z) Matrix Generators
  114A10 120 1 20 0 0 [ 39, 76, 38, 39 ] , [ 58, 27, 3, 25 ] , [ 58, 57, 57, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 42, 30, 91 ] , [ 91, 12, 66, 25 ] , [ 113, 38, 38, 37 ]
  114B10 120 1 60 0 0 [ 39, 76, 95, 39 ] , [ 58, 27, 3, 25 ] , [ 58, 57, 57, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 42, 30, 91 ] , [ 91, 12, 66, 25 ] , [ 113, 38, 38, 37 ]
  114C10 120 2 20 0 0 [ 1, 57, 57, 58 ] , [ 19, 48, 36, 97 ] , [ 37, 28, 18, 103 ] , [ 37, 38, 38, 113 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 77, 76, 76, 1 ] , [ 97, 90, 66, 73 ]
^ Level 115 Name Index  con   len   c2   c3  > SL(2,Z/115Z) Matrix Generators
  115A10 120 1 120 0 0 [ 1, 92, 92, 70 ] , [ 21, 50, 15, 96 ] , [ 24, 0, 0, 24 ] , [ 47, 92, 0, 93 ] , [ 51, 60, 5, 51 ] , [ 91, 0, 0, 91 ] , [ 93, 0, 69, 47 ]
^ Level 117 Name Index  con   len   c2   c3  > SL(2,Z/117Z) Matrix Generators
  117A10 168 2 56 0 3 [ 1, 78, 0, 1 ] , [ 20, 45, 9, 32 ] , [ 40, 46, 33, 76 ] , [ 55, 45, 99, 64 ] , [ 79, 0, 0, 40 ] , [ 79, 52, 0, 40 ] , [ 92, 39, 0, 14 ] , [ 103, 0, 0, 25 ]
^ Level 118 Name Index  con   len   c2   c3  > SL(2,Z/118Z) Matrix Generators
  118A10 120 1 60 0 0 [ 60, 59, 59, 1 ] , [ 69, 58, 22, 51 ] , [ 105, 44, 78, 99 ] , [ 117, 0, 0, 117 ]
^ Level 124 Name Index  con   len   c2   c3  > SL(2,Z/124Z) Matrix Generators
  124A10 128 1 128 0 2 [ 1, 31, 31, 94 ] , [ 25, 116, 100, 97 ] , [ 33, 76, 104, 93 ] , [ 57, 88, 48, 85 ] , [ 63, 0, 0, 63 ] , [ 63, 62, 31, 1 ] , [ 97, 16, 20, 57 ]
^ Level 125 Name Index  con   len   c2   c3  > SL(2,Z/125Z) Matrix Generators
  125A10 150 1 150 2 0 [ 11, 50, 65, 91 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ] , [ 90, 63, 33, 112 ]
  125B10 150 1 150 2 0 [ 11, 50, 65, 91 ] , [ 32, 102, 32, 20 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ]
^ Level 127 Name Index  con   len   c2   c3  > SL(2,Z/127Z) Matrix Generators
  127A10 Γ0(127) 128 1 128 0 2 [ 58, 126, 0, 46 ] , [ 59, 8, 0, 28 ] , [ 126, 0, 0, 126 ] , [ 126, 94, 0, 126 ]
^ Level 129 Name Index  con   len   c2   c3  > SL(2,Z/129Z) Matrix Generators
  129A10 132 2 44 0 3 [ 20, 87, 108, 128 ] , [ 28, 54, 51, 103 ] , [ 44, 0, 0, 44 ] , [ 44, 86, 86, 1 ] , [ 74, 76, 9, 11 ] , [ 87, 86, 43, 87 ] , [ 128, 0, 0, 128 ]
^ Level 134 Name Index  con   len   c2   c3  > SL(2,Z/134Z) Matrix Generators
  134A10 136 1 68 0 4 [ 37, 90, 128, 47 ] , [ 43, 84, 46, 93 ] , [ 68, 67, 67, 1 ] , [ 113, 34, 96, 87 ] , [ 133, 67, 67, 66 ]
^ Level 140 Name Index  con   len   c2   c3  > SL(2,Z/140Z) Matrix Generators
  140A10 140 2 140 6 2 [ 1, 60, 120, 61 ] , [ 1, 105, 70, 71 ] , [ 21, 80, 100, 81 ] , [ 29, 84, 112, 1 ] , [ 38, 61, 73, 73 ] , [ 41, 0, 0, 41 ] , [ 41, 35, 35, 6 ] , [ 41, 40, 120, 1 ] , [ 41, 60, 80, 1 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 0, 71 ] , [ 81, 120, 0, 121 ] , [ 99, 115, 130, 69 ] , [ 101, 100, 60, 101 ] , [ 122, 117, 45, 73 ]
^ Level 143 Name Index  con   len   c2   c3  > SL(2,Z/143Z) Matrix Generators
  143A10 154 2 154 6 4 [ 1, 0, 33, 1 ] , [ 12, 0, 0, 12 ] , [ 14, 26, 49, 40 ] , [ 34, 0, 77, 122 ] , [ 100, 0, 77, 133 ] , [ 105, 130, 112, 27 ] , [ 131, 0, 0, 131 ]
^ Level 144 Name Index  con   len   c2   c3  > SL(2,Z/144Z) Matrix Generators
  144A10 144 2 72 10 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 41, 80, 104, 73 ] , [ 64, 9, 135, 28 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 128, 65 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ]
  144B10 144 2 72 10 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 41, 80, 32, 73 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 128, 65 ] , [ 104, 17, 95, 100 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ]
  144C10 144 2 72 10 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 16, 137, 119, 20 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 56, 65 ] , [ 105, 80, 136, 57 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ]
  144D10 144 2 72 10 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 16, 137, 119, 20 ] , [ 41, 80, 104, 73 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 56, 65 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ]
  144E10 216 2 27 32 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 63, 44, 28, 63 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ]
^ Level 147 Name Index  con   len   c2   c3  > SL(2,Z/147Z) Matrix Generators
  147A10 168 2 56 0 3 [ 1, 0, 21, 1 ] , [ 50, 0, 0, 50 ] , [ 50, 98, 98, 1 ] , [ 85, 0, 0, 64 ] , [ 85, 0, 87, 64 ] , [ 99, 98, 49, 99 ] , [ 116, 140, 28, 30 ] , [ 146, 0, 0, 146 ]
^ Level 150 Name Index  con   len   c2   c3  > SL(2,Z/150Z) Matrix Generators
  150A10 180 1 30 12 0 [ 31, 90, 90, 121 ] , [ 37, 32, 95, 143 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 75, 1 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 119, 0, 120, 29 ]
^ Level 156 Name Index  con   len   c2   c3  > SL(2,Z/156Z) Matrix Generators
  156A10 168 2 56 12 3 [ 1, 52, 52, 53 ] , [ 1, 117, 117, 118 ] , [ 13, 120, 108, 145 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 36, 36, 121 ] , [ 79, 0, 0, 79 ] , [ 79, 78, 117, 1 ] , [ 85, 84, 140, 109 ]
^ Level 165 Name Index  con   len   c2   c3  > SL(2,Z/165Z) Matrix Generators
  165A10 165 2 55 9 6 [ 1, 55, 55, 56 ] , [ 1, 132, 99, 34 ] , [ 17, 58, 96, 17 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 56, 55, 55, 1 ] , [ 67, 0, 33, 133 ] , [ 67, 132, 44, 67 ] , [ 128, 135, 42, 92 ] , [ 164, 0, 0, 164 ]
  165B10 165 2 55 9 6 [ 1, 55, 55, 56 ] , [ 1, 132, 99, 34 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 56, 55, 55, 1 ] , [ 67, 0, 33, 133 ] , [ 67, 33, 11, 67 ] , [ 72, 58, 41, 17 ] , [ 128, 135, 42, 92 ] , [ 164, 0, 0, 164 ]
^ Level 168 Name Index  con   len   c2   c3  > SL(2,Z/168Z) Matrix Generators
  168A10 168 2 28 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ]
  168B10 168 2 28 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 135, 31, 50, 9 ] , [ 145, 120, 72, 121 ]
  168C10 168 2 28 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ]
  168D10 168 2 28 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ]
  168E10 168 2 84 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 28, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ]
  168F10 168 2 84 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ]
  168G10 168 2 84 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 71, 119, 98, 1 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 127, 63, 42, 1 ] , [ 145, 120, 72, 121 ]
  168H10 168 2 84 18 0 [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 71, 119, 98, 1 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA