[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 7

Groups of Level: 10 12 13 14 15 16 17 18 19 20 21 22 24 27 28 30 32 33 34 35 36 38 40 42 44 45 48 50 51 52 54 55 56 60 62 63 64 66 68 69 70 72 77 78 80 81 82 83 84 85 89 90 91 93 95 96 97 98 100 102 104 105 108 110 112 120 126 128 132 156
 
 
^ Level 10 Name Index  con   len   c2   c3  > SL(2,Z/10Z) Matrix Generators
  10A7 180 1 15 0 0 [ 3, 6, 0, 7 ] , [ 9, 0, 0, 9 ]
^ Level 12 Name Index  con   len   c2   c3  > SL(2,Z/12Z) Matrix Generators
  12A7 144 1 1 0 0 [ 1, 6, 6, 1 ] , [ 7, 0, 6, 7 ] , [ 7, 6, 0, 7 ] , [ 11, 0, 0, 11 ] , [ 11, 6, 6, 11 ]
  12B7 144 1 3 0 0 [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ]
  12C7 144 1 6 0 0 [ 4, 3, 9, 4 ] , [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ]
  12D7 144 1 9 0 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 2, 2, 11 ] , [ 11, 10, 10, 7 ]
  12E7 144 1 18 0 0 [ 4, 7, 1, 2 ] , [ 8, 5, 11, 10 ] , [ 10, 7, 1, 8 ] , [ 11, 6, 6, 11 ]
  12F7 192 1 32 0 6 [ 1, 9, 1, 10 ] , [ 10, 3, 11, 1 ] , [ 11, 3, 11, 2 ]
^ Level 13 Name Index  con   len   c2   c3  > SL(2,Z/13Z) Matrix Generators
  13A7 182 1 91 6 2 [ 0, 1, 12, 12 ] , [ 4, 2, 11, 9 ] , [ 12, 0, 0, 12 ]
  13B7 182 1 91 6 2 [ 0, 1, 12, 12 ] , [ 0, 8, 8, 0 ] , [ 12, 0, 0, 12 ]
^ Level 14 Name Index  con   len   c2   c3  > SL(2,Z/14Z) Matrix Generators
  14A7 126 1 21 0 0 [ 1, 12, 8, 13 ] , [ 5, 8, 2, 9 ] , [ 7, 2, 10, 7 ] , [ 13, 0, 0, 13 ]
  14B7 168 1 21 8 0 [ 1, 7, 7, 8 ] , [ 1, 12, 1, 13 ] , [ 13, 0, 0, 13 ]
  14C7 168 1 84 0 0 [ 1, 0, 7, 1 ] , [ 5, 12, 12, 1 ] , [ 13, 12, 12, 9 ]
  14D7 168 1 84 8 0 [ 1, 12, 1, 13 ] , [ 11, 12, 0, 9 ] , [ 13, 0, 0, 13 ]
^ Level 15 Name Index  con   len   c2   c3  > SL(2,Z/15Z) Matrix Generators
  15A7 120 1 10 0 0 [ 4, 0, 0, 4 ] , [ 4, 3, 3, 10 ] , [ 7, 9, 0, 13 ] , [ 11, 0, 0, 11 ]
  15B7 120 1 30 0 0 [ 4, 0, 0, 4 ] , [ 6, 5, 10, 6 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ]
  15C7 180 2 15 12 0 [ 2, 10, 7, 13 ] , [ 4, 0, 0, 4 ] , [ 13, 4, 10, 2 ] , [ 14, 0, 0, 14 ]
^ Level 16 Name Index  con   len   c2   c3  > SL(2,Z/16Z) Matrix Generators
  16A7 128 1 64 0 2 [ 2, 11, 11, 13 ] , [ 5, 8, 8, 13 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ]
  16B7 192 1 6 0 0 [ 1, 0, 8, 1 ] , [ 3, 4, 8, 11 ] , [ 5, 4, 0, 13 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ]
  16C7 192 1 12 0 0 [ 1, 8, 0, 1 ] , [ 9, 12, 0, 9 ] , [ 13, 14, 0, 5 ] , [ 15, 8, 0, 15 ]
  16D7 192 1 24 8 0 [ 0, 5, 3, 0 ] , [ 8, 5, 3, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ]
  16E7 192 2 24 8 0 [ 8, 7, 9, 8 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 4, 5 ] , [ 15, 0, 0, 15 ]
^ Level 17 Name Index  con   len   c2   c3  > SL(2,Z/17Z) Matrix Generators
  17A7 153 1 153 9 0 [ 3, 11, 13, 14 ] , [ 6, 14, 1, 11 ] , [ 10, 4, 13, 7 ] , [ 10, 12, 5, 1 ] , [ 16, 0, 0, 16 ]
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A7 108 1 3 0 0 [ 5, 0, 12, 11 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 13, 0, 6, 7 ]
  18B7 108 1 18 0 0 [ 7, 0, 0, 13 ] , [ 9, 10, 8, 9 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ]
  18C7 108 1 27 0 0 [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] , [ 11, 10, 10, 1 ]
  18D7 108 1 36 0 0 [ 1, 9, 3, 10 ] , [ 7, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 10, 1 ]
  18E7 108 2 9 0 0 [ 1, 12, 6, 1 ] , [ 7, 0, 12, 13 ] , [ 11, 6, 0, 5 ] , [ 15, 14, 16, 9 ]
  18F7 108 2 9 0 0 [ 1, 9, 9, 10 ] , [ 9, 10, 8, 9 ] , [ 13, 6, 6, 7 ] , [ 17, 0, 0, 17 ]
  18G7 108 2 18 0 0 [ 4, 9, 9, 7 ] , [ 5, 6, 6, 11 ] , [ 13, 2, 14, 5 ] , [ 13, 12, 12, 7 ]
  18H7 162 1 54 0 9 [ 9, 10, 8, 9 ] , [ 16, 15, 7, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ]
  18I7 162 1 54 6 0 [ 1, 0, 9, 1 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 17, 0, 0, 17 ]
  18J7 162 1 81 12 0 [ 0, 17, 1, 0 ] , [ 1, 9, 9, 10 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ]
  18K7 162 1 81 12 0 [ 7, 16, 16, 11 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 4, 11, 3 ]
  18L7 162 1 162 12 0 [ 5, 3, 3, 2 ] , [ 9, 1, 8, 9 ] , [ 10, 7, 1, 8 ] , [ 16, 3, 3, 13 ]
  18M7 162 2 27 6 0 [ 11, 10, 4, 7 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 3, 7 ] , [ 13, 12, 12, 7 ]
  18N7 216 1 6 0 0 [ 13, 0, 0, 7 ] , [ 13, 12, 6, 7 ] , [ 17, 0, 0, 17 ]
  18O7 216 1 12 0 0 [ 1, 0, 6, 1 ] , [ 7, 0, 8, 13 ] , [ 17, 0, 0, 17 ]
  18P7 216 1 24 0 9 [ 1, 0, 12, 1 ] , [ 7, 15, 7, 10 ] , [ 17, 0, 0, 17 ]
^ Level 19 Name Index  con   len   c2   c3  > SL(2,Z/19Z) Matrix Generators
  19A7 Γ1(19) 180 1 20 0 0 [ 4, 17, 14, 17 ] , [ 18, 0, 0, 18 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A7 120 1 30 0 0 [ 1, 0, 10, 1 ] , [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ]
  20B7 120 1 30 0 0 [ 5, 12, 12, 9 ] , [ 7, 10, 4, 3 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]
  20C7 120 1 30 0 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ]
  20D7 120 1 30 0 0 [ 1, 0, 10, 1 ] , [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ]
  20E7 120 1 30 4 0 [ 9, 0, 10, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 16, 5, 15, 11 ] , [ 17, 4, 5, 13 ]
  20F7 120 1 60 4 0 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] , [ 13, 0, 16, 17 ]
  20G7 120 1 60 4 0 [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ]
  20H7 120 1 60 4 0 [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] , [ 13, 0, 16, 17 ]
  20I7 120 2 30 4 0 [ 5, 12, 12, 9 ] , [ 7, 10, 19, 13 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ]
  20J7 144 1 6 0 0 [ 1, 10, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]
  20K7 144 1 6 0 0 [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ]
  20L7 144 1 18 0 0 [ 5, 6, 14, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 14, 2, 19 ]
  20M7 144 1 36 0 0 [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 17, 18, 13, 15 ]
  20N7 144 2 18 0 0 [ 9, 0, 10, 9 ] , [ 9, 4, 4, 13 ] , [ 15, 8, 8, 3 ] , [ 17, 0, 17, 13 ]
  20O7 160 2 40 8 4 [ 6, 5, 5, 1 ] , [ 9, 8, 8, 5 ] , [ 13, 10, 1, 7 ] , [ 19, 0, 0, 19 ]
  20P7 180 1 45 0 0 [ 1, 0, 10, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 0, 17 ]
^ Level 21 Name Index  con   len   c2   c3  > SL(2,Z/21Z) Matrix Generators
  21A7 126 1 21 6 0 [ 1, 14, 14, 8 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 15 ] , [ 19, 6, 18, 19 ]
  21B7 144 1 24 0 0 [ 1, 0, 18, 1 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 16, 1 ] , [ 13, 0, 9, 13 ]
  21C7 168 1 84 16 0 [ 1, 7, 7, 8 ] , [ 1, 11, 17, 20 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] , [ 15, 4, 17, 6 ]
  21D7 192 2 32 0 6 [ 1, 0, 9, 1 ] , [ 4, 0, 7, 16 ] , [ 16, 0, 20, 4 ] , [ 20, 0, 0, 20 ]
^ Level 22 Name Index  con   len   c2   c3  > SL(2,Z/22Z) Matrix Generators
  22A7 110 1 55 0 2 [ 1, 8, 8, 21 ] , [ 12, 11, 11, 1 ] , [ 13, 14, 2, 9 ] , [ 13, 20, 20, 19 ] , [ 21, 0, 0, 21 ]
^ Level 24 Name Index  con   len   c2   c3  > SL(2,Z/24Z) Matrix Generators
  24A7 96 1 12 0 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 15, 15, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 4, 1 ]
  24B7 96 1 12 0 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 22, 3, 15, 1 ] , [ 23, 16, 16, 7 ]
  24C7 96 1 16 0 0 [ 1, 16, 16, 17 ] , [ 3, 8, 16, 3 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ]
  24D7 96 2 4 0 0 [ 1, 12, 12, 1 ] , [ 5, 0, 12, 5 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 13 ] , [ 13, 6, 15, 7 ] , [ 13, 12, 0, 13 ]
  24E7 128 1 64 0 2 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ]
  24F7 128 2 64 0 2 [ 1, 16, 0, 1 ] , [ 1, 18, 3, 7 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ]
  24G7 144 1 3 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 15, 1 ] , [ 13, 12, 21, 1 ] , [ 17, 0, 21, 17 ] , [ 19, 12, 12, 19 ]
  24H7 144 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 6, 3, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 9, 7 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 0, 18, 19 ]
  24I7 144 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 4, 10, 17 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 4, 22, 11 ] , [ 23, 0, 18, 23 ]
  24J7 144 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 16, 10, 23 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 6, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 20, 1 ]
  24K7 144 1 12 12 0 [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ]
  24L7 144 1 12 12 0 [ 1, 16, 16, 17 ] , [ 4, 3, 21, 4 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ]
  24M7 144 1 18 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 5, 12, 12, 5 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 6, 13 ] , [ 15, 22, 8, 15 ] , [ 21, 22, 8, 21 ] , [ 23, 0, 18, 23 ]
  24N7 144 1 18 0 0 [ 1, 0, 12, 1 ] , [ 5, 0, 18, 5 ] , [ 5, 16, 19, 13 ] , [ 7, 0, 12, 7 ] , [ 7, 8, 11, 23 ] , [ 7, 8, 23, 23 ] , [ 13, 0, 12, 13 ] , [ 13, 0, 18, 13 ]
  24O7 144 1 18 8 0 [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 4, 10, 23 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 21, 23 ] , [ 19, 0, 12, 19 ]
  24P7 144 1 18 8 0 [ 1, 0, 12, 1 ] , [ 5, 8, 2, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 21, 1 ] , [ 23, 0, 0, 23 ]
  24Q7 144 1 18 8 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 5 ] , [ 16, 15, 9, 4 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ]
  24R7 144 1 18 8 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 7, 16, 16, 23 ] , [ 8, 17, 23, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] , [ 20, 5, 11, 4 ]
  24S7 144 1 18 8 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 11, 12, 18, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 7, 11 ] , [ 13, 12, 18, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 0, 6, 19 ] , [ 23, 2, 23, 1 ]
  24T7 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 21, 1 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 18, 17 ] , [ 19, 16, 22, 11 ]
  24U7 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 0, 18, 7 ] , [ 7, 16, 4, 23 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 15, 19 ]
  24V7 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 10, 17 ] , [ 1, 16, 10, 17 ] , [ 7, 16, 10, 23 ] , [ 13, 0, 18, 13 ] , [ 13, 4, 16, 5 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ]
  24W7 144 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 16, 16, 23 ] , [ 13, 0, 18, 13 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 20, 1 ]
  24X7 144 1 36 4 0 [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 8, 21 ] , [ 23, 0, 0, 23 ]
  24Y7 144 1 36 4 0 [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ]
  24Z7 144 1 36 8 0 [ 1, 0, 12, 1 ] , [ 5, 6, 21, 11 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 14, 17, 7 ] , [ 19, 16, 16, 11 ]
  24AA7 144 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 6, 21, 5 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 18, 19 ]
  24AB7 144 1 36 12 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 16, 16, 5 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ]
  24AC7 144 1 36 12 0 [ 0, 13, 11, 0 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 4, 20, 15 ] , [ 15, 20, 4, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 21, 4, 20, 21 ]
  24AD7 144 2 18 8 0 [ 1, 0, 12, 1 ] , [ 5, 0, 0, 5 ] , [ 9, 16, 14, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 10, 19, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 22, 1, 5 ] , [ 23, 0, 12, 23 ]
  24AE7 144 2 18 8 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 9, 20, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 16, 19, 13, 20 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ]
  24AF7 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 0, 12, 5 ] , [ 5, 12, 0, 5 ] , [ 19, 12, 0, 19 ]
  24AG7 192 1 12 0 0 [ 1, 8, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 12, 13 ] , [ 19, 0, 12, 19 ] , [ 23, 16, 0, 23 ]
  24AH7 192 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 8, 18, 1 ] , [ 5, 8, 0, 5 ] , [ 5, 8, 18, 5 ] , [ 19, 0, 18, 19 ]
  24AI7 192 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 12, 1 ] , [ 13, 0, 18, 13 ] , [ 13, 8, 18, 13 ] , [ 17, 8, 0, 17 ] , [ 19, 0, 18, 19 ]
  24AJ7 192 1 48 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 6, 1 ] , [ 7, 0, 9, 7 ] , [ 7, 0, 21, 7 ] , [ 17, 0, 3, 17 ] , [ 17, 16, 15, 17 ]
  24AK7 192 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 17, 4, 6, 17 ] , [ 17, 4, 12, 17 ] , [ 17, 4, 18, 17 ] , [ 23, 16, 6, 23 ]
  24AL7 192 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 16, 18, 5 ] , [ 7, 12, 6, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 4, 18, 17 ]
^ Level 27 Name Index  con   len   c2   c3  > SL(2,Z/27Z) Matrix Generators
  27A7 108 1 12 0 0 [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 22, 0, 0, 16 ] , [ 22, 18, 12, 16 ] , [ 26, 0, 0, 26 ]
  27B7 108 1 12 0 0 [ 1, 0, 18, 1 ] , [ 10, 0, 9, 19 ] , [ 10, 0, 18, 19 ] , [ 10, 18, 24, 19 ] , [ 22, 12, 2, 22 ] , [ 26, 0, 0, 26 ]
  27C7 108 1 12 0 0 [ 1, 0, 18, 1 ] , [ 10, 0, 9, 19 ] , [ 10, 0, 18, 19 ] , [ 10, 18, 24, 19 ] , [ 19, 15, 13, 16 ] , [ 26, 0, 0, 26 ]
  27D7 108 1 12 0 0 [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 13, 9, 12, 25 ] , [ 22, 0, 0, 16 ] , [ 26, 0, 0, 26 ]
  27E7 108 1 36 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 9, 12, 1 ] , [ 7, 24, 11, 7 ] , [ 19, 0, 0, 10 ] , [ 26, 0, 0, 26 ]
  27F7 162 1 18 18 0 [ 1, 9, 9, 1 ] , [ 7, 9, 9, 4 ] , [ 8, 18, 18, 17 ] , [ 10, 18, 18, 19 ] , [ 18, 8, 10, 9 ] , [ 19, 0, 0, 10 ] , [ 19, 9, 9, 10 ]
  27G7 162 1 162 6 0 [ 1, 9, 18, 1 ] , [ 1, 18, 9, 1 ] , [ 7, 18, 18, 4 ] , [ 10, 9, 18, 19 ] , [ 18, 26, 1, 18 ] , [ 19, 0, 0, 10 ] , [ 26, 18, 9, 26 ]
  27H7 162 2 9 18 0 [ 1, 25, 1, 26 ] , [ 5, 3, 3, 2 ] , [ 10, 0, 9, 19 ] , [ 10, 18, 18, 19 ] , [ 22, 24, 24, 25 ]
^ Level 28 Name Index  con   len   c2   c3  > SL(2,Z/28Z) Matrix Generators
  28A7 112 2 28 0 4 [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 20, 25 ] , [ 21, 24, 16, 13 ] , [ 22, 21, 21, 1 ]
  28B7 126 1 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 12, 8, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ]
  28C7 126 2 63 6 0 [ 1, 0, 14, 1 ] , [ 1, 12, 8, 13 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 17, 21 ]
  28D7 144 1 24 0 0 [ 5, 13, 2, 11 ] , [ 5, 20, 16, 25 ] , [ 15, 14, 0, 15 ] , [ 17, 20, 16, 9 ] , [ 17, 24, 8, 13 ] , [ 21, 16, 24, 9 ] , [ 27, 4, 20, 3 ]
  28E7 168 1 84 8 0 [ 1, 26, 1, 27 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 26, 8, 27 ] , [ 25, 12, 0, 9 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A7 90 1 5 0 0 [ 3, 20, 28, 27 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 4, 1 ]
  30B7 90 1 5 0 0 [ 1, 18, 6, 19 ] , [ 1, 20, 20, 11 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ]
  30C7 90 1 10 0 0 [ 1, 15, 5, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 24, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 23, 10, 28, 7 ]
  30D7 90 1 10 0 0 [ 2, 3, 21, 17 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 23, 0, 18, 17 ] , [ 23, 24, 0, 17 ]
  30E7 90 2 5 0 0 [ 1, 10, 10, 11 ] , [ 1, 24, 8, 13 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ]
  30F7 108 1 6 0 0 [ 1, 10, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ]
  30G7 120 1 20 0 6 [ 1, 10, 10, 11 ] , [ 1, 20, 20, 11 ] , [ 6, 5, 25, 11 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 21, 10, 20, 21 ]
  30H7 120 1 20 0 6 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 15, 15, 26 ] , [ 15, 22, 2, 19 ] , [ 19, 10, 10, 29 ] , [ 21, 20, 10, 21 ]
  30I7 120 1 30 8 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 17, 20, 29, 13 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ]
  30J7 120 1 30 8 0 [ 7, 15, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ]
  30K7 120 1 40 0 6 [ 1, 12, 6, 13 ] , [ 6, 5, 25, 11 ] , [ 7, 0, 24, 13 ] , [ 7, 18, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ]
  30L7 120 1 120 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 20, 1 ] , [ 7, 24, 20, 13 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 10, 19 ] , [ 19, 18, 18, 25 ]
  30M7 120 2 20 0 6 [ 5, 28, 8, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ]
  30N7 120 2 30 8 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 17, 10, 19, 13 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ]
  30O7 120 2 60 0 6 [ 13, 4, 10, 17 ] , [ 16, 15, 15, 1 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 24, 16, 25 ] , [ 29, 0, 0, 29 ]
  30P7 135 1 15 9 0 [ 1, 0, 15, 1 ] , [ 3, 20, 28, 27 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 4, 1 ]
  30Q7 144 1 24 0 0 [ 1, 0, 10, 1 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 20, 11 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ]
  30R7 144 1 36 8 0 [ 1, 15, 15, 16 ] , [ 19, 24, 24, 13 ] , [ 25, 18, 3, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 26, 23, 1 ]
  30S7 144 1 72 0 0 [ 1, 0, 10, 1 ] , [ 7, 0, 27, 13 ] , [ 11, 0, 20, 11 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ]
^ Level 32 Name Index  con   len   c2   c3  > SL(2,Z/32Z) Matrix Generators
  32A7 96 1 6 0 0 [ 1, 16, 16, 1 ] , [ 13, 0, 0, 5 ] , [ 16, 17, 15, 0 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 12, 12, 1 ] , [ 25, 0, 0, 9 ] , [ 29, 4, 4, 5 ] , [ 31, 0, 0, 31 ]
  32B7 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 0, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 28, 1 ]
  32C7 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 0, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 12, 1 ]
  32D7 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 0, 5 ] , [ 13, 18, 28, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 16, 29 ] , [ 25, 0, 0, 9 ]
  32E7 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 0, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 16, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 12, 1 ]
  32F7 96 1 12 0 0 [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 1, 28, 8, 1 ] , [ 5, 30, 20, 5 ] , [ 9, 24, 0, 25 ] , [ 17, 2, 20, 25 ] , [ 17, 12, 8, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 14, 4, 3 ] , [ 29, 8, 24, 21 ]
  32G7 96 1 12 0 0 [ 1, 6, 4, 25 ] , [ 1, 16, 0, 1 ] , [ 3, 2, 20, 3 ] , [ 3, 10, 4, 3 ] , [ 9, 0, 16, 25 ] , [ 13, 26, 4, 13 ] , [ 17, 2, 28, 9 ] , [ 17, 16, 0, 17 ] , [ 17, 24, 16, 17 ] , [ 25, 28, 8, 9 ] , [ 31, 28, 24, 31 ]
  32H7 96 1 12 0 0 [ 9, 6, 22, 29 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 16, 25 ] , [ 14, 27, 1, 2 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ]
  32I7 96 1 24 0 0 [ 1, 16, 16, 1 ] , [ 2, 11, 1, 22 ] , [ 13, 28, 28, 21 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 22, 6, 7 ] , [ 25, 0, 16, 9 ] , [ 25, 24, 24, 9 ] , [ 31, 10, 10, 27 ] , [ 31, 16, 16, 31 ]
  32J7 96 1 24 0 0 [ 1, 16, 16, 1 ] , [ 5, 4, 4, 29 ] , [ 7, 26, 26, 19 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 0, 25 ] , [ 15, 8, 24, 15 ] , [ 16, 1, 31, 24 ] , [ 17, 16, 16, 17 ] , [ 26, 25, 3, 14 ] , [ 29, 2, 18, 9 ]
  32K7 96 2 24 0 0 [ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 11, 20, 4, 19 ] , [ 12, 29, 11, 16 ] , [ 15, 12, 20, 31 ] , [ 17, 8, 24, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 16, 24, 29 ] , [ 23, 8, 8, 7 ]
  32L7 192 1 6 0 0 [ 7, 12, 4, 7 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 20, 12, 11 ] , [ 21, 12, 20, 13 ] , [ 25, 4, 12, 25 ] , [ 25, 16, 16, 9 ]
  32M7 192 1 24 0 0 [ 1, 2, 30, 29 ] , [ 1, 16, 16, 1 ] , [ 9, 8, 24, 25 ] , [ 10, 19, 29, 4 ] , [ 17, 16, 16, 17 ] , [ 21, 20, 12, 13 ] , [ 25, 24, 8, 9 ] , [ 27, 26, 6, 7 ] , [ 29, 14, 18, 1 ]
^ Level 33 Name Index  con   len   c2   c3  > SL(2,Z/33Z) Matrix Generators
  33A7 165 1 55 21 0 [ 0, 32, 1, 0 ] , [ 1, 22, 22, 23 ] , [ 8, 24, 24, 2 ] , [ 10, 0, 0, 10 ] , [ 12, 8, 19, 21 ] , [ 12, 11, 22, 12 ] , [ 23, 0, 0, 23 ]
^ Level 34 Name Index  con   len   c2   c3  > SL(2,Z/34Z) Matrix Generators
  34A7 108 1 18 0 0 [ 1, 0, 26, 1 ] , [ 19, 0, 26, 9 ] , [ 21, 0, 14, 13 ] , [ 29, 0, 14, 27 ] , [ 33, 0, 0, 33 ]
  34B7 108 1 54 0 0 [ 1, 0, 26, 1 ] , [ 19, 0, 26, 9 ] , [ 21, 0, 14, 13 ] , [ 29, 0, 17, 27 ] , [ 33, 0, 0, 33 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A7 105 1 105 5 0 [ 1, 25, 10, 6 ] , [ 1, 28, 14, 8 ] , [ 6, 0, 0, 6 ] , [ 11, 20, 10, 31 ] , [ 15, 28, 28, 15 ] , [ 16, 30, 15, 26 ] , [ 22, 0, 0, 8 ] , [ 29, 0, 0, 29 ]
  35B7 144 1 48 0 0 [ 1, 0, 30, 1 ] , [ 1, 28, 21, 29 ] , [ 8, 7, 28, 29 ] , [ 15, 14, 21, 22 ] , [ 15, 21, 14, 8 ] , [ 34, 28, 7, 13 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A7 96 1 16 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ]
  36B7 96 1 32 0 0 [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 33, 3, 28 ] , [ 25, 0, 24, 13 ] , [ 28, 27, 25, 19 ] , [ 35, 0, 0, 35 ]
  36C7 108 1 9 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 13, 0, 33, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 28, 22, 25 ]
  36D7 108 2 27 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 15, 25 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 27, 4, 2, 15 ]
  36E7 108 2 27 4 0 [ 1, 0, 18, 1 ] , [ 13, 24, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 24, 0, 5 ] , [ 29, 26, 17, 19 ] , [ 31, 18, 33, 25 ]
  36F7 108 2 27 4 0 [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 11, 24, 18, 23 ] , [ 11, 26, 17, 1 ] , [ 15, 14, 16, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ]
  36G7 108 2 27 4 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 15, 28, 17, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ]
  36H7 144 1 4 0 0 [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 4, 25 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
  36I7 144 1 24 0 0 [ 1, 0, 8, 1 ] , [ 1, 0, 12, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ]
  36J7 144 1 72 8 0 [ 0, 35, 1, 0 ] , [ 19, 0, 0, 19 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 25, 21, 33, 22 ] , [ 35, 0, 0, 35 ]
  36K7 144 1 144 8 0 [ 0, 35, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 34, 15, 15, 13 ] , [ 35, 0, 0, 35 ]
  36L7 162 1 81 12 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 33, 2, 22, 21 ]
  36M7 192 1 32 0 6 [ 1, 0, 20, 1 ] , [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 13, 0, 24, 25 ] , [ 19, 21, 3, 28 ] , [ 35, 0, 0, 35 ]
  36N7 216 1 18 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 12, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]
  36O7 216 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 8, 13 ] , [ 35, 0, 0, 35 ]
^ Level 38 Name Index  con   len   c2   c3  > SL(2,Z/38Z) Matrix Generators
  38A7 114 2 57 0 6 [ 2, 35, 15, 35 ] , [ 20, 19, 19, 1 ] , [ 35, 32, 8, 3 ] , [ 37, 0, 0, 37 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A7 96 1 24 0 0 [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 28, 16, 1 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ]
  40B7 96 1 24 0 0 [ 1, 20, 20, 1 ] , [ 6, 5, 25, 1 ] , [ 21, 20, 0, 21 ] , [ 25, 8, 8, 33 ] , [ 25, 24, 16, 25 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ]
  40C7 96 2 24 0 0 [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 36, 5, 35, 16 ] , [ 39, 20, 20, 39 ]
  40D7 120 1 30 8 0 [ 1, 0, 20, 1 ] , [ 5, 4, 36, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] , [ 31, 10, 5, 21 ]
  40E7 120 1 30 8 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 25, 24, 16, 25 ] , [ 31, 10, 15, 1 ] , [ 31, 30, 5, 1 ]
  40F7 120 1 60 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 5, 36, 24, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 15, 1 ] , [ 31, 0, 10, 31 ]
  40G7 120 1 60 0 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ]
  40H7 120 1 60 4 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 34, 21, 5 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 31, 30, 5, 1 ]
  40I7 120 1 60 4 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 25, 24, 16, 25 ] , [ 31, 10, 5, 21 ]
  40J7 120 2 30 4 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 35, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 29, 20, 20, 29 ] , [ 31, 20, 10, 31 ] , [ 33, 30, 14, 37 ]
  40K7 144 1 18 0 0 [ 1, 10, 10, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 16 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 2, 22, 5 ] , [ 33, 16, 16, 9 ]
  40L7 144 1 18 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 28, 16, 1 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ]
  40M7 144 1 18 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ]
  40N7 144 1 36 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 10, 11 ] , [ 39, 20, 20, 39 ]
  40O7 144 1 36 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 34, 23, 1, 36 ]
  40P7 144 1 36 8 0 [ 1, 20, 20, 1 ] , [ 8, 37, 27, 20 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 26 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ]
  40Q7 144 1 36 8 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 16, 37, 19, 24 ] , [ 19, 26, 18, 31 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 31 ]
  40R7 144 1 36 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 28, 1 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ]
  40S7 144 1 36 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ]
  40T7 144 1 36 8 0 [ 1, 20, 20, 1 ] , [ 14, 23, 21, 6 ] , [ 21, 0, 0, 21 ] , [ 31, 6, 26, 27 ] , [ 31, 10, 10, 11 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ]
  40U7 144 1 72 0 0 [ 6, 7, 9, 4 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 15, 25, 16 ]
  40V7 144 1 72 0 0 [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 15, 25, 16 ]
  40W7 144 1 72 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 10, 38, 37 ]
  40X7 144 1 72 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 8, 17 ]
  40Y7 144 1 72 4 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 25, 32, 32, 17 ] , [ 28, 1, 31, 4 ] , [ 32, 37, 35, 8 ] , [ 39, 0, 0, 39 ]
  40Z7 144 1 72 4 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 28 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ]
  40AA7 144 1 72 8 0 [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 14, 31, 13, 26 ] , [ 16, 37, 19, 24 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 5, 36 ]
  40AB7 144 1 72 8 0 [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 14, 31, 13, 26 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 5, 36 ]
  40AC7 144 2 18 0 0 [ 1, 10, 0, 1 ] , [ 1, 20, 0, 1 ] , [ 9, 24, 24, 33 ] , [ 15, 38, 8, 23 ] , [ 21, 0, 0, 21 ] , [ 29, 20, 20, 29 ] , [ 39, 38, 6, 11 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A7 84 2 7 0 0 [ 1, 21, 21, 22 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 38, 2, 7 ] , [ 37, 30, 0, 25 ]
  42B7 84 2 21 0 0 [ 1, 14, 14, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 37 ] , [ 27, 8, 16, 39 ] , [ 29, 0, 0, 29 ]
  42C7 84 2 21 0 0 [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 25, 12, 0, 37 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ]
  42D7 96 1 24 0 0 [ 1, 30, 30, 19 ] , [ 1, 35, 14, 29 ] , [ 19, 6, 30, 25 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ]
  42E7 96 1 24 0 0 [ 1, 14, 14, 29 ] , [ 1, 30, 30, 19 ] , [ 19, 6, 30, 25 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ]
  42F7 112 2 28 0 4 [ 1, 14, 0, 1 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 12, 7 ] , [ 22, 21, 21, 1 ] , [ 25, 18, 36, 31 ] , [ 29, 21, 21, 8 ]
  42G7 126 1 63 12 0 [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 19, 36, 30, 37 ] , [ 27, 38, 4, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ]
  42H7 126 2 21 12 0 [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 2, 11, 37 ] , [ 29, 14, 14, 1 ] , [ 41, 38, 11, 1 ]
  42I7 126 2 21 12 0 [ 1, 28, 28, 29 ] , [ 5, 2, 11, 13 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ]
  42J7 126 2 42 12 0 [ 7, 12, 18, 7 ] , [ 11, 32, 8, 31 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 19, 30, 39, 13 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 9, 21, 4 ]
  42K7 126 2 63 10 0 [ 1, 0, 21, 1 ] , [ 5, 2, 11, 13 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ]
  42L7 126 2 63 12 0 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ]
  42M7 144 2 16 0 9 [ 15, 14, 28, 15 ] , [ 25, 36, 12, 19 ] , [ 28, 39, 19, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 36, 12, 31 ]
  42N7 168 1 28 24 0 [ 1, 21, 21, 22 ] , [ 1, 40, 1, 41 ] , [ 6, 37, 41, 36 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 35, 36 ] , [ 29, 21, 21, 8 ] , [ 37, 30, 0, 25 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A7 96 1 48 0 0 [ 1, 33, 33, 34 ] , [ 5, 32, 16, 41 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 33, 16, 24, 25 ] , [ 34, 11, 11, 1 ] , [ 43, 0, 0, 43 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A7 90 2 45 2 0 [ 1, 15, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 16, 0, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 22, 18, 21, 7 ] , [ 28, 0, 18, 37 ] , [ 37, 36, 0, 28 ] , [ 41, 25, 25, 1 ]
  45B7 108 2 54 4 0 [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 28, 9, 9, 19 ] , [ 31, 5, 5, 11 ] , [ 31, 15, 15, 16 ] , [ 34, 27, 24, 31 ] , [ 41, 0, 15, 11 ] , [ 44, 30, 15, 44 ]
  45C7 120 1 40 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] , [ 28, 36, 0, 37 ]
  45D7 135 1 45 15 0 [ 1, 40, 40, 26 ] , [ 13, 24, 15, 7 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 6 ] , [ 26, 0, 0, 26 ] , [ 31, 3, 36, 34 ] , [ 31, 15, 15, 16 ] , [ 31, 30, 0, 16 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A7 96 1 12 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 16 ] , [ 37, 12, 12, 13 ]
  48B7 96 1 12 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 40 ] , [ 37, 12, 12, 13 ] , [ 43, 18, 42, 31 ]
  48C7 96 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 6, 6, 37 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 10 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ]
  48D7 96 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 4, 27, 45, 4 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ]
  48E7 96 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 40 ] , [ 37, 12, 12, 13 ]
  48F7 96 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 6, 30, 37 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ]
  48G7 96 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 27, 45, 4 ] , [ 10, 39, 45, 22 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ]
  48H7 96 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 32, 17 ] , [ 17, 36, 44, 17 ] , [ 20, 3, 5, 32 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ]
  48I7 96 2 24 4 0 [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 13, 21, 21, 34 ] , [ 13, 36, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 32, 1, 31, 40 ] , [ 47, 24, 24, 47 ]
  48J7 96 2 24 4 0 [ 0, 1, 47, 0 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 33, 16, 32, 33 ] , [ 34, 3, 3, 13 ] , [ 37, 36, 0, 13 ] , [ 47, 0, 0, 47 ]
  48K7 128 1 16 0 8 [ 1, 0, 16, 1 ] , [ 7, 12, 36, 7 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 24, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 37, 12, 24, 13 ] , [ 37, 45, 21, 10 ]
  48L7 128 1 16 0 8 [ 1, 0, 32, 1 ] , [ 1, 45, 33, 46 ] , [ 13, 24, 36, 37 ] , [ 13, 36, 24, 37 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 31, 12, 36, 31 ]
  48M7 144 1 9 16 0 [ 1, 0, 24, 1 ] , [ 1, 4, 10, 41 ] , [ 1, 24, 12, 1 ] , [ 5, 36, 18, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 36, 30, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ]
  48N7 144 1 9 16 0 [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 5, 36, 18, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 17, 36, 30, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ]
  48O7 144 1 12 12 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ]
  48P7 144 1 12 12 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 12, 1 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ]
  48Q7 144 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 41, 0, 33, 41 ] , [ 47, 0, 0, 47 ]
  48R7 144 1 18 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 16, 17, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ]
  48S7 144 1 18 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ]
  48T7 144 1 18 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 41, 24, 12, 41 ] , [ 45, 28, 2, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ]
  48U7 144 1 18 16 0 [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 8, 1 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 47, 0, 0, 47 ]
  48V7 144 1 18 16 0 [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ]
  48W7 144 1 36 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 13, 0, 12, 37 ] , [ 13, 24, 30, 37 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 12, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 25, 33 ] , [ 37, 36, 45, 1 ] , [ 47, 0, 0, 47 ]
  48X7 144 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, 24, 25 ] , [ 41, 0, 33, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ]
  48Y7 144 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, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ]
  48Z7 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 36, 1 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 43, 6, 15, 1 ]
  48AA7 144 1 36 4 0 [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 16, 16, 17 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ]
  48AB7 144 1 36 12 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 36, 37 ] , [ 13, 44, 44, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 29, 44, 44, 37 ] , [ 47, 0, 0, 47 ]
  48AC7 144 1 36 12 0 [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ]
  48AD7 144 1 36 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ]
  48AE7 144 1 36 16 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ]
  48AF7 144 1 36 16 0 [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 33, 40, 32, 33 ] , [ 41, 24, 12, 41 ]
  48AG7 144 1 36 16 0 [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 35, 22, 25, 13 ] , [ 41, 24, 12, 41 ]
  48AH7 144 2 9 16 0 [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 41, 24, 12, 41 ] , [ 45, 28, 2, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ]
  48AI7 144 2 18 16 0 [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 31, 34, 43, 41 ] , [ 43, 10, 19, 29 ] , [ 47, 0, 0, 47 ]
  48AJ7 144 2 36 16 0 [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 11, 30, 9, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 35, 22, 25, 13 ] , [ 41, 24, 12, 41 ]
  48AK7 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 7, 24, 18, 7 ] , [ 25, 0, 24, 25 ] , [ 43, 0, 6, 19 ] , [ 47, 0, 4, 47 ]
  48AL7 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 24, 36, 37 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 18, 31 ] , [ 47, 0, 4, 47 ]
  48AM7 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 4, 27, 21, 46 ] , [ 16, 45, 27, 22 ] , [ 19, 18, 30, 31 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 8 ]
  48AN7 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 4, 27, 21, 46 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 31, 6, 42, 19 ]
  48AO7 192 1 48 0 0 [ 1, 0, 16, 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 ] , [ 37, 6, 18, 25 ]
  48AP7 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 13, 6, 42, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 17, 0, 0, 17 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 31, 6, 42, 19 ]
  48AQ7 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 19, 18, 30, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 37, 36, 12, 13 ] , [ 43, 30, 18, 7 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A7 150 1 75 12 0 [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 27, 10, 47, 23 ] , [ 31, 40, 30, 21 ] , [ 31, 48, 46, 39 ] , [ 39, 20, 20, 9 ]
  50B7 150 1 75 12 0 [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 7, 36, 0, 43 ] , [ 27, 10, 47, 23 ] , [ 31, 40, 30, 21 ] , [ 39, 20, 20, 9 ]
  50C7 180 1 30 0 0 [ 5, 32, 12, 47 ] , [ 9, 8, 36, 21 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ]
^ Level 51 Name Index  con   len   c2   c3  > SL(2,Z/51Z) Matrix Generators
  51A7 108 1 54 4 0 [ 1, 0, 3, 1 ] , [ 1, 17, 17, 35 ] , [ 4, 0, 48, 13 ] , [ 10, 34, 22, 29 ] , [ 16, 0, 0, 16 ] , [ 32, 0, 42, 8 ] , [ 35, 0, 0, 35 ]
  51B7 108 1 54 4 0 [ 1, 0, 3, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 48, 13 ] , [ 10, 34, 22, 29 ] , [ 16, 0, 0, 16 ] , [ 32, 0, 42, 8 ] , [ 35, 0, 0, 35 ]
^ Level 52 Name Index  con   len   c2   c3  > SL(2,Z/52Z) Matrix Generators
  52A7 112 1 56 0 4 [ 1, 13, 13, 14 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 27, 26, 13, 1 ] , [ 33, 32, 36, 5 ]
  52B7 112 1 56 0 4 [ 1, 13, 13, 14 ] , [ 9, 36, 36, 17 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 33, 32, 36, 5 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A7 162 2 81 24 0 [ 1, 27, 27, 28 ] , [ 1, 52, 1, 53 ] , [ 5, 30, 30, 29 ] , [ 27, 28, 53, 27 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ] , [ 49, 24, 24, 25 ]
  54B7 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 19, 0, 12, 37 ] , [ 19, 0, 14, 37 ] , [ 19, 0, 24, 37 ] , [ 25, 18, 22, 31 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A7 110 2 110 6 2 [ 24, 5, 10, 9 ] , [ 34, 0, 0, 34 ] , [ 45, 33, 33, 45 ] , [ 49, 50, 15, 49 ] , [ 54, 0, 0, 54 ] , [ 54, 11, 44, 10 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A7 84 2 21 0 0 [ 1, 7, 14, 43 ] , [ 1, 16, 32, 9 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 28, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]
  56B7 96 1 24 0 0 [ 1, 0, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 12, 10, 17 ] , [ 17, 40, 24, 17 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 41, 40, 40, 9 ] , [ 43, 14, 21, 29 ] , [ 49, 16, 24, 9 ]
  56C7 96 1 24 0 0 [ 1, 0, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 12, 10, 17 ] , [ 17, 40, 24, 17 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 31, 54, 31, 45 ] , [ 41, 40, 40, 9 ] , [ 49, 16, 24, 9 ]
  56D7 112 2 28 4 4 [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 35, 14, 29 ] , [ 17, 24, 48, 25 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ]
  56E7 112 2 28 4 4 [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 35, 42, 1 ] , [ 17, 24, 48, 25 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ]
  56F7 128 1 32 0 8 [ 1, 52, 8, 25 ] , [ 17, 24, 8, 41 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 41, 24, 16, 49 ] , [ 43, 24, 36, 11 ]
  56G7 128 1 32 0 8 [ 1, 24, 8, 25 ] , [ 17, 24, 8, 41 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 41, 24, 16, 49 ] , [ 43, 0, 28, 43 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A7 90 1 15 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 20, 20, 41 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ]
  60B7 90 1 45 2 0 [ 1, 0, 30, 1 ] , [ 1, 20, 35, 41 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 1, 50, 20, 41 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ]
  60C7 90 2 15 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 24, 8, 13 ] , [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
  60D7 96 1 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 6, 38, 31 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 30, 31 ] , [ 49, 0, 40, 49 ] , [ 59, 6, 8, 11 ]
  60E7 96 1 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 6, 8, 31 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 10, 41 ] , [ 49, 0, 40, 49 ]
  60F7 96 1 96 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 45, 31 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 19, 6, 23, 1 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 56, 45, 15, 11 ]
  60G7 96 2 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 30, 31 ] , [ 31, 15, 45, 16 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 6, 23, 31 ] , [ 55, 12, 42, 7 ]
  60H7 108 1 18 0 0 [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 57, 55, 32, 33 ]
  60I7 108 1 54 4 0 [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 47, 10, 22, 43 ]
  60J7 120 1 40 12 0 [ 13, 0, 36, 37 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 15, 15, 26 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ]
  60K7 120 2 10 12 0 [ 1, 40, 40, 41 ] , [ 16, 15, 45, 31 ] , [ 17, 30, 39, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ]
  60L7 120 2 30 12 0 [ 1, 40, 10, 41 ] , [ 16, 15, 45, 31 ] , [ 17, 30, 39, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ]
  60M7 144 1 18 16 0 [ 1, 30, 30, 1 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 43, 17 ] , [ 43, 50, 53, 17 ] , [ 59, 0, 0, 59 ]
  60N7 144 1 18 16 0 [ 1, 30, 30, 1 ] , [ 21, 40, 50, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 13, 17 ] , [ 59, 0, 0, 59 ]
  60O7 144 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 7, 30, 42, 43 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ]
  60P7 Γ0(60) 144 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ]
  60Q7 144 1 72 16 0 [ 1, 30, 45, 31 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 11 ] , [ 39, 16, 8, 51 ] , [ 41, 0, 0, 41 ]
  60R7 144 1 72 16 0 [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 48, 31 ] , [ 21, 10, 5, 51 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 50, 35, 41 ] , [ 41, 0, 0, 41 ]
  60S7 144 2 18 16 0 [ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 43, 17 ] , [ 59, 0, 0, 59 ]
^ Level 62 Name Index  con   len   c2   c3  > SL(2,Z/62Z) Matrix Generators
  62A7 Γ0(62) 96 1 96 0 0 [ 1, 0, 31, 1 ] , [ 15, 50, 6, 49 ] , [ 17, 34, 32, 13 ] , [ 31, 60, 16, 43 ] , [ 47, 52, 18, 45 ] , [ 61, 0, 0, 61 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A7 84 2 28 0 0 [ 1, 18, 45, 55 ] , [ 1, 42, 42, 1 ] , [ 15, 25, 17, 62 ] , [ 15, 35, 49, 43 ] , [ 22, 7, 14, 36 ] , [ 28, 18, 54, 28 ] , [ 36, 28, 35, 50 ] , [ 43, 0, 21, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ]
  63B7 96 1 32 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 13, 42, 14, 55 ] , [ 29, 21, 49, 29 ] , [ 34, 0, 0, 13 ] , [ 37, 0, 27, 46 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 58, 21, 55, 46 ]
  63C7 96 2 32 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 42, 7, 43 ] , [ 8, 0, 0, 8 ] , [ 8, 42, 7, 29 ] , [ 25, 21, 36, 58 ] , [ 34, 0, 0, 13 ] , [ 34, 21, 56, 55 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ]
  63D7 126 2 63 14 0 [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 13, 11, 2, 26 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] , [ 62, 62, 29, 28 ]
  63E7 126 2 126 14 0 [ 1, 21, 21, 1 ] , [ 4, 18, 42, 16 ] , [ 10, 36, 18, 46 ] , [ 22, 0, 0, 43 ] , [ 23, 24, 21, 11 ] , [ 28, 45, 9, 28 ] , [ 37, 11, 23, 29 ] , [ 37, 24, 0, 46 ] , [ 46, 39, 0, 37 ] , [ 51, 17, 28, 18 ] , [ 55, 0, 0, 55 ]
  63F7 192 2 32 0 6 [ 1, 0, 42, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 0, 49, 1 ] , [ 4, 42, 36, 16 ] , [ 20, 0, 49, 41 ] , [ 22, 0, 0, 43 ] , [ 22, 0, 49, 43 ] , [ 37, 21, 50, 25 ] , [ 43, 0, 0, 22 ]
^ Level 64 Name Index  con   len   c2   c3  > SL(2,Z/64Z) Matrix Generators
  64A7 96 1 12 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 18, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 48 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 17, 34, 14, 13 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 2, 37 ]
  64B7 96 1 12 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 18, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 17, 34, 14, 13 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 2, 37 ] , [ 60, 41, 63, 58 ]
  64C7 96 1 12 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 50, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 16 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 34, 37 ] , [ 57, 12, 44, 25 ]
  64D7 96 1 12 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 50, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 48 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 34, 37 ] , [ 57, 12, 44, 25 ]
  64E7 96 1 24 0 0 [ 1, 12, 44, 17 ] , [ 1, 32, 32, 1 ] , [ 9, 8, 56, 57 ] , [ 19, 42, 54, 15 ] , [ 25, 40, 56, 41 ] , [ 33, 32, 32, 33 ] , [ 35, 34, 46, 63 ] , [ 37, 4, 28, 29 ] , [ 43, 34, 62, 55 ] , [ 49, 10, 22, 45 ] , [ 49, 16, 48, 17 ] , [ 53, 28, 52, 13 ] , [ 56, 51, 21, 50 ] , [ 61, 4, 12, 5 ]
  64F7 96 1 24 0 0 [ 1, 62, 10, 45 ] , [ 5, 42, 46, 41 ] , [ 17, 16, 48, 49 ] , [ 25, 8, 24, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 48, 40, 45 ] , [ 37, 60, 52, 29 ] , [ 43, 34, 30, 55 ] , [ 45, 36, 12, 21 ] , [ 47, 6, 26, 51 ] , [ 49, 16, 48, 17 ] , [ 57, 24, 40, 9 ] , [ 60, 29, 3, 10 ] , [ 61, 12, 52, 5 ]
  64G7 96 2 48 4 0 [ 13, 28, 60, 21 ] , [ 28, 41, 23, 20 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 43, 18, 42, 31 ] , [ 49, 0, 32, 17 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 51, 22, 38, 39 ] , [ 57, 0, 48, 9 ] , [ 57, 24, 24, 9 ] , [ 57, 56, 56, 9 ] , [ 63, 42, 10, 27 ] , [ 63, 48, 16, 63 ]
  64H7 96 2 48 4 0 [ 13, 28, 60, 21 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 34, 43, 1, 54 ] , [ 49, 0, 32, 17 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 57, 0, 48, 9 ] , [ 57, 24, 24, 9 ] , [ 57, 56, 56, 9 ] , [ 58, 63, 37, 6 ] , [ 60, 17, 63, 36 ] , [ 63, 42, 42, 27 ] , [ 63, 48, 16, 63 ]
  64I7 96 2 48 4 0 [ 1, 32, 32, 1 ] , [ 5, 4, 36, 29 ] , [ 7, 26, 58, 51 ] , [ 15, 8, 24, 47 ] , [ 17, 16, 16, 49 ] , [ 33, 18, 58, 53 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 41, 8, 8, 25 ] , [ 41, 48, 32, 25 ] , [ 45, 24, 48, 37 ] , [ 48, 1, 63, 24 ] , [ 56, 5, 51, 56 ]
  64J7 96 2 48 4 0 [ 1, 32, 32, 1 ] , [ 5, 4, 36, 29 ] , [ 7, 26, 26, 51 ] , [ 10, 19, 41, 46 ] , [ 15, 8, 24, 47 ] , [ 17, 16, 16, 49 ] , [ 33, 18, 58, 53 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 41, 8, 8, 25 ] , [ 41, 48, 32, 25 ] , [ 43, 26, 50, 63 ] , [ 56, 5, 51, 56 ]
  64K7 192 1 12 0 0 [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 52, 48, 1 ] , [ 5, 10, 24, 61 ] , [ 5, 50, 56, 61 ] , [ 9, 32, 0, 57 ] , [ 17, 16, 0, 49 ] , [ 17, 24, 32, 49 ] , [ 33, 48, 0, 33 ] , [ 35, 16, 32, 11 ] , [ 41, 10, 56, 9 ] , [ 49, 36, 48, 17 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A7 96 1 48 0 0 [ 1, 33, 33, 34 ] , [ 19, 12, 24, 43 ] , [ 23, 33, 0, 23 ] , [ 23, 44, 22, 45 ] , [ 25, 12, 39, 61 ] , [ 31, 24, 12, 37 ] , [ 34, 33, 33, 1 ] , [ 43, 33, 0, 43 ] , [ 46, 3, 51, 55 ]
  66B7 96 1 48 0 0 [ 1, 33, 33, 34 ] , [ 19, 12, 24, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 44, 22, 45 ] , [ 25, 45, 39, 28 ] , [ 31, 24, 12, 37 ] , [ 34, 33, 33, 1 ] , [ 43, 0, 0, 43 ] , [ 46, 3, 51, 55 ]
^ Level 68 Name Index  con   len   c2   c3  > SL(2,Z/68Z) Matrix Generators
  68A7 108 1 54 0 0 [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 48, 17, 3, 28 ] , [ 52, 17, 67, 18 ] , [ 52, 51, 17, 18 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 58, 45 ]
  68B7 Γ0(68) 108 1 54 0 0 [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 39, 18 ] , [ 52, 17, 67, 18 ] , [ 52, 51, 17, 18 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 4, 45 ]
  68C7 108 1 54 4 0 [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 18, 17, 51, 18 ] , [ 18, 51, 33, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 58, 45 ]
  68D7 108 1 54 4 0 [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 18, 17, 51, 18 ] , [ 18, 51, 33, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 4, 45 ]
^ Level 69 Name Index  con   len   c2   c3  > SL(2,Z/69Z) Matrix Generators
  69A7 Γ0(69) 96 1 96 0 0 [ 1, 0, 23, 1 ] , [ 1, 0, 46, 1 ] , [ 28, 60, 51, 28 ] , [ 47, 0, 0, 47 ] , [ 67, 27, 15, 4 ] , [ 68, 0, 46, 68 ]
^ Level 70 Name Index  con   len   c2   c3  > SL(2,Z/70Z) Matrix Generators
  70A7 84 2 42 0 0 [ 1, 35, 35, 36 ] , [ 11, 10, 0, 51 ] , [ 11, 50, 60, 31 ] , [ 15, 28, 28, 57 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 15, 45, 16 ] , [ 61, 30, 50, 51 ]
  70B7 96 1 48 0 0 [ 1, 0, 30, 1 ] , [ 1, 28, 0, 1 ] , [ 8, 21, 45, 22 ] , [ 11, 0, 60, 51 ] , [ 26, 35, 65, 31 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ]
  70C7 96 1 48 0 0 [ 1, 0, 30, 1 ] , [ 1, 28, 0, 1 ] , [ 11, 0, 60, 51 ] , [ 26, 35, 65, 31 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 43, 21, 45, 22 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A7 96 2 16 0 0 [ 1, 9, 45, 46 ] , [ 1, 24, 0, 1 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 56, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 27, 19 ] , [ 37, 36, 0, 37 ] , [ 41, 16, 0, 65 ] , [ 43, 42, 9, 49 ] , [ 55, 34, 9, 37 ]
  72B7 108 1 27 8 0 [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 56, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 33, 2, 40, 33 ] , [ 33, 56, 4, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 51, 65, 22, 69 ]
  72C7 144 1 12 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 27, 0, 29 ] , [ 13, 56, 0, 61 ] , [ 25, 53, 36, 13 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 43, 44, 36, 67 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 36, 36, 55 ]
  72D7 144 1 24 0 0 [ 1, 24, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 25, 64, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 7, 54, 55 ] , [ 37, 55, 54, 55 ] , [ 47, 10, 0, 23 ] , [ 65, 57, 54, 23 ]
  72E7 144 1 144 20 0 [ 1, 48, 24, 1 ] , [ 13, 32, 56, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 16, 40, 17 ] , [ 25, 24, 24, 49 ] , [ 28, 9, 63, 28 ] , [ 28, 27, 45, 28 ] , [ 36, 29, 67, 36 ] , [ 46, 63, 27, 1 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ]
^ Level 77 Name Index  con   len   c2   c3  > SL(2,Z/77Z) Matrix Generators
  77A7 84 2 84 0 0 [ 3, 5, 19, 32 ] , [ 8, 56, 28, 71 ] , [ 11, 14, 7, 2 ] , [ 15, 14, 35, 43 ] , [ 34, 0, 0, 34 ] , [ 44, 69, 40, 68 ] , [ 74, 67, 50, 38 ] , [ 76, 0, 0, 76 ]
  77B7 Γ0(77) 96 1 96 0 0 [ 8, 56, 28, 71 ] , [ 11, 25, 73, 68 ] , [ 15, 14, 35, 43 ] , [ 34, 0, 0, 34 ] , [ 55, 69, 73, 2 ] , [ 76, 0, 0, 76 ]
^ Level 78 Name Index  con   len   c2   c3  > SL(2,Z/78Z) Matrix Generators
  78A7 84 1 14 0 0 [ 7, 6, 36, 31 ] , [ 27, 52, 26, 27 ] , [ 40, 39, 39, 1 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 69, 16, 68, 9 ] , [ 77, 0, 0, 77 ]
  78B7 112 1 56 0 4 [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 7, 42, 57, 19 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ]
  78C7 112 1 56 0 4 [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 7, 42, 18, 19 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ]
^ Level 80 Name Index  con   len   c2   c3  > SL(2,Z/80Z) Matrix Generators
  80A7 96 2 48 4 0 [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 21, 20, 40, 61 ] , [ 40, 73, 23, 68 ] , [ 41, 40, 0, 41 ] , [ 46, 45, 65, 1 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 65, 64, 56, 65 ] , [ 79, 20, 60, 79 ]
  80B7 96 2 48 4 0 [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 21, 20, 40, 61 ] , [ 40, 73, 23, 68 ] , [ 41, 40, 0, 41 ] , [ 46, 45, 65, 1 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 65, 64, 16, 65 ] , [ 79, 20, 60, 79 ]
  80C7 144 1 18 16 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 16, 37, 19, 64 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 71, 13, 26 ] , [ 71, 60, 60, 71 ]
  80D7 144 1 18 16 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 16, 5, 35, 16 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 59, 66, 18, 31 ] , [ 71, 60, 60, 71 ]
  80E7 144 1 36 0 0 [ 1, 40, 40, 1 ] , [ 6, 7, 49, 4 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ]
  80F7 Γ0(80) 144 1 36 0 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ]
  80G7 144 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 7, 49, 4 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ] , [ 65, 32, 32, 17 ]
  80H7 144 1 72 0 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ] , [ 65, 32, 32, 17 ]
  80I7 144 1 72 4 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 21, 40, 40, 61 ] , [ 22, 7, 45, 58 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ]
  80J7 144 1 72 4 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 17, 32, 0, 33 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ]
  80K7 144 2 36 0 0 [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 9, 50, 70, 69 ] , [ 11, 70, 10, 71 ] , [ 16, 15, 65, 6 ] , [ 21, 60, 20, 61 ] , [ 33, 16, 16, 49 ] , [ 41, 40, 40, 41 ] , [ 49, 28, 16, 1 ] , [ 49, 40, 0, 49 ]
^ Level 81 Name Index  con   len   c2   c3  > SL(2,Z/81Z) Matrix Generators
  81A7 108 1 36 0 0 [ 1, 0, 54, 1 ] , [ 10, 27, 60, 73 ] , [ 13, 72, 51, 52 ] , [ 16, 45, 37, 13 ] , [ 26, 27, 30, 53 ] , [ 28, 0, 0, 55 ] , [ 28, 0, 18, 55 ] , [ 55, 0, 27, 28 ] , [ 64, 54, 0, 19 ] , [ 73, 0, 15, 10 ]
  81B7 108 1 36 0 0 [ 1, 0, 54, 1 ] , [ 10, 27, 60, 73 ] , [ 13, 72, 51, 52 ] , [ 26, 27, 30, 53 ] , [ 28, 0, 0, 55 ] , [ 28, 0, 18, 55 ] , [ 37, 54, 0, 46 ] , [ 49, 9, 74, 7 ] , [ 55, 0, 27, 28 ] , [ 73, 0, 15, 10 ]
^ Level 82 Name Index  con   len   c2   c3  > SL(2,Z/82Z) Matrix Generators
  82A7 84 1 42 0 0 [ 11, 56, 48, 73 ] , [ 15, 16, 28, 19 ] , [ 19, 48, 43, 31 ] , [ 42, 41, 41, 1 ] , [ 47, 22, 18, 73 ] , [ 63, 16, 28, 67 ]
  82B7 84 1 42 0 0 [ 11, 56, 48, 73 ] , [ 15, 16, 28, 19 ] , [ 19, 48, 2, 31 ] , [ 42, 41, 41, 1 ] , [ 47, 22, 18, 73 ] , [ 63, 16, 28, 67 ]
^ Level 83 Name Index  con   len   c2   c3  > SL(2,Z/83Z) Matrix Generators
  83A7 Γ0(83) 84 1 84 0 0 [ 21, 53, 54, 81 ] , [ 62, 21, 2, 77 ] , [ 82, 0, 0, 82 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A7 96 2 32 0 3 [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 44, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 77, 43 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 0, 43 ] , [ 57, 28, 56, 57 ] , [ 73, 24, 36, 13 ]
  84B7 126 2 21 12 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 47, 2, 11, 13 ] , [ 49, 12, 60, 49 ] , [ 57, 28, 56, 57 ] , [ 71, 56, 35, 43 ]
  84C7 126 2 63 12 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 ] , [ 61, 72, 60, 13 ] , [ 71, 56, 35, 43 ] , [ 71, 70, 7, 1 ]
  84D7 128 1 32 0 8 [ 1, 0, 28, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 14, 29 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 61, 12, 12, 1 ]
  84E7 128 1 32 0 8 [ 1, 0, 28, 1 ] , [ 13, 0, 42, 13 ] , [ 13, 60, 48, 73 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 56, 29 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 61, 12, 12, 1 ]
^ Level 85 Name Index  con   len   c2   c3  > SL(2,Z/85Z) Matrix Generators
  85A7 90 1 90 2 0 [ 1, 0, 45, 1 ] , [ 16, 0, 0, 16 ] , [ 16, 68, 51, 84 ] , [ 18, 51, 17, 1 ] , [ 26, 0, 55, 36 ] , [ 28, 0, 73, 82 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ]
  85B7 Γ0(85) 108 1 108 4 0 [ 1, 0, 45, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 17, 15, 81 ] , [ 26, 0, 55, 36 ] , [ 62, 0, 5, 48 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ]
^ Level 89 Name Index  con   len   c2   c3  > SL(2,Z/89Z) Matrix Generators
  89A7 Γ0(89) 90 1 90 2 0 [ 62, 45, 81, 10 ] , [ 81, 23, 64, 5 ] , [ 88, 0, 0, 88 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A7 90 1 45 4 0 [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 26, 65, 35, 1 ] , [ 37, 36, 0, 73 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 73, 0, 18, 37 ] , [ 81, 50, 25, 51 ]
  90B7 90 1 90 4 0 [ 16, 45, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 75, 75, 16 ] , [ 37, 18, 36, 37 ] , [ 41, 60, 0, 11 ] , [ 46, 75, 75, 1 ] , [ 47, 62, 14, 7 ] , [ 51, 50, 25, 21 ] , [ 73, 0, 18, 37 ] , [ 73, 54, 0, 37 ]
  90C7 108 1 54 8 0 [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 60, 60, 61 ] , [ 39, 37, 44, 21 ] , [ 41, 0, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 73, 54, 54, 19 ] , [ 79, 72, 24, 31 ] , [ 89, 30, 60, 89 ] , [ 89, 62, 74, 1 ]
  90D7 108 1 108 8 0 [ 1, 30, 30, 1 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 72, 54, 1 ] , [ 61, 15, 45, 76 ] , [ 61, 40, 85, 41 ] , [ 61, 60, 60, 31 ] , [ 71, 60, 60, 71 ] , [ 81, 40, 20, 81 ]
  90E7 120 1 40 0 6 [ 1, 80, 0, 1 ] , [ 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 ]
  90F7 120 2 20 0 6 [ 1, 45, 45, 46 ] , [ 1, 70, 0, 1 ] , [ 10, 9, 21, 19 ] , [ 14, 21, 39, 65 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 0, 37 ]
^ Level 91 Name Index  con   len   c2   c3  > SL(2,Z/91Z) Matrix Generators
  91A7 Γ0(91) 112 1 112 0 4 [ 27, 0, 0, 27 ] , [ 39, 49, 48, 65 ] , [ 50, 21, 28, 50 ] , [ 71, 7, 70, 71 ] , [ 78, 28, 84, 15 ] , [ 78, 49, 22, 78 ] , [ 85, 7, 70, 85 ]
^ Level 93 Name Index  con   len   c2   c3  > SL(2,Z/93Z) Matrix Generators
  93A7 96 2 32 0 3 [ 1, 31, 31, 32 ] , [ 1, 62, 62, 32 ] , [ 25, 54, 69, 4 ] , [ 32, 0, 0, 32 ] , [ 64, 45, 42, 31 ] , [ 88, 15, 11, 4 ] , [ 88, 57, 48, 85 ]
^ Level 95 Name Index  con   len   c2   c3  > SL(2,Z/95Z) Matrix Generators
  95A7 100 1 100 0 4 [ 3, 50, 41, 82 ] , [ 4, 86, 88, 16 ] , [ 31, 20, 50, 66 ] , [ 35, 26, 54, 89 ] , [ 39, 0, 0, 39 ] , [ 41, 10, 50, 91 ] , [ 41, 50, 60, 6 ] , [ 94, 0, 0, 94 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A7 144 1 36 20 0 [ 1, 0, 48, 1 ] , [ 13, 20, 26, 77 ] , [ 25, 0, 72, 73 ] , [ 25, 20, 38, 65 ] , [ 41, 72, 12, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 51, 10, 95, 45 ] , [ 57, 20, 94, 33 ] , [ 65, 0, 0, 65 ] , [ 89, 20, 62, 1 ] , [ 95, 0, 0, 95 ]
  96B7 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 16, 93, 75, 94 ] , [ 19, 66, 30, 79 ] , [ 22, 39, 57, 88 ] , [ 29, 6, 42, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 90, 1 ] , [ 61, 12, 84, 37 ] , [ 73, 24, 72, 25 ]
  96C7 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 19, 66, 30, 79 ] , [ 22, 39, 57, 40 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 61, 12, 84, 37 ] , [ 65, 0, 0, 65 ] , [ 73, 24, 72, 25 ] , [ 85, 72, 0, 61 ]
^ Level 97 Name Index  con   len   c2   c3  > SL(2,Z/97Z) Matrix Generators
  97A7 Γ0(97) 98 1 98 2 2 [ 16, 70, 29, 36 ] , [ 33, 55, 2, 21 ] , [ 48, 95, 36, 45 ] , [ 70, 71, 89, 21 ] , [ 96, 0, 0, 96 ]
^ Level 98 Name Index  con   len   c2   c3  > SL(2,Z/98Z) Matrix Generators
  98A7 Γ0(98) 168 1 168 0 0 [ 1, 0, 49, 1 ] , [ 15, 0, 14, 85 ] , [ 27, 88, 48, 73 ] , [ 51, 28, 62, 11 ] , [ 85, 28, 42, 15 ] , [ 97, 0, 0, 97 ]
^ Level 100 Name Index  con   len   c2   c3  > SL(2,Z/100Z) Matrix Generators
  100A7 120 1 120 4 0 [ 1, 50, 25, 51 ] , [ 5, 92, 52, 97 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ]
  100B7 120 2 30 4 0 [ 1, 50, 50, 1 ] , [ 21, 20, 0, 81 ] , [ 26, 25, 25, 1 ] , [ 41, 20, 20, 61 ] , [ 49, 70, 80, 49 ] , [ 49, 84, 44, 53 ] , [ 51, 50, 0, 51 ] , [ 71, 84, 77, 39 ]
  100C7 Γ0(100) 180 1 90 0 0 [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 9, 8, 36, 21 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 69, 76, 83, 61 ]
^ Level 102 Name Index  con   len   c2   c3  > SL(2,Z/102Z) Matrix Generators
  102A7 108 1 54 8 0 [ 1, 0, 54, 1 ] , [ 1, 34, 34, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 22, 29 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 17, 69 ] , [ 83, 0, 42, 59 ]
  102B7 108 1 54 8 0 [ 1, 0, 54, 1 ] , [ 1, 68, 68, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 22, 29 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 17, 69 ] , [ 83, 0, 42, 59 ]
^ Level 104 Name Index  con   len   c2   c3  > SL(2,Z/104Z) Matrix Generators
  104A7 112 2 56 4 4 [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 9, 88, 36, 17 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 0, 27 ] , [ 33, 32, 88, 57 ] , [ 53, 52, 0, 53 ] , [ 65, 16, 56, 41 ] , [ 87, 62, 49, 17 ]
  104B7 112 2 56 4 4 [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 9, 88, 88, 17 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 0, 27 ] , [ 33, 32, 88, 57 ] , [ 53, 52, 0, 53 ] , [ 65, 16, 56, 41 ] , [ 79, 78, 65, 1 ]
^ Level 105 Name Index  con   len   c2   c3  > SL(2,Z/105Z) Matrix Generators
  105A7 105 2 35 9 0 [ 1, 35, 35, 71 ] , [ 1, 60, 45, 76 ] , [ 15, 28, 98, 15 ] , [ 16, 30, 15, 61 ] , [ 22, 0, 0, 43 ] , [ 36, 70, 35, 36 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 63, 84, 8 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ]
^ Level 108 Name Index  con   len   c2   c3  > SL(2,Z/108Z) Matrix Generators
  108A7 216 1 36 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 81, 1 ] , [ 25, 72, 76, 85 ] , [ 35, 0, 54, 71 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 12, 37 ] , [ 73, 0, 24, 37 ] , [ 73, 0, 68, 37 ]
^ Level 110 Name Index  con   len   c2   c3  > SL(2,Z/110Z) Matrix Generators
  110A7 110 2 55 0 8 [ 1, 22, 44, 89 ] , [ 1, 55, 55, 56 ] , [ 18, 25, 97, 37 ] , [ 67, 0, 88, 23 ] , [ 67, 22, 44, 67 ] , [ 72, 3, 41, 17 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ]
^ Level 112 Name Index  con   len   c2   c3  > SL(2,Z/112Z) Matrix Generators
  112A7 112 2 56 6 4 [ 1, 56, 56, 1 ] , [ 15, 63, 70, 85 ] , [ 29, 0, 84, 85 ] , [ 29, 91, 91, 50 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 79, 47, 94, 29 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] , [ 99, 84, 56, 43 ]
  112B7 112 2 56 6 4 [ 1, 7, 91, 78 ] , [ 1, 56, 56, 1 ] , [ 23, 103, 66, 57 ] , [ 29, 0, 84, 85 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 71, 7, 42, 1 ] , [ 71, 56, 0, 71 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ]
  112C7 112 2 56 6 4 [ 1, 56, 56, 1 ] , [ 15, 63, 70, 85 ] , [ 29, 0, 84, 85 ] , [ 29, 91, 91, 50 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] , [ 99, 84, 56, 43 ]
  112D7 112 2 56 6 4 [ 1, 7, 91, 78 ] , [ 1, 56, 56, 1 ] , [ 29, 0, 84, 85 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 71, 7, 42, 1 ] , [ 71, 56, 0, 71 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ]
^ Level 120 Name Index  con   len   c2   c3  > SL(2,Z/120Z) Matrix Generators
  120A7 120 2 20 6 6 [ 1, 60, 60, 1 ] , [ 1, 80, 80, 41 ] , [ 1, 105, 45, 46 ] , [ 16, 33, 111, 64 ] , [ 25, 96, 64, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 79, 60, 60, 79 ] , [ 97, 96, 0, 73 ]
  120B7 120 2 20 6 6 [ 1, 60, 60, 1 ] , [ 1, 80, 80, 41 ] , [ 1, 105, 45, 46 ] , [ 16, 33, 111, 4 ] , [ 25, 96, 64, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 79, 60, 60, 79 ] , [ 97, 96, 0, 73 ]
^ Level 126 Name Index  con   len   c2   c3  > SL(2,Z/126Z) Matrix Generators
  126A7 126 2 63 16 0 [ 1, 63, 63, 64 ] , [ 13, 50, 26, 71 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 75, 1 ] , [ 69, 64, 89, 57 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ]
^ Level 128 Name Index  con   len   c2   c3  > SL(2,Z/128Z) Matrix Generators
  128A7 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 11, 118, 10, 119 ] , [ 21, 108, 20, 109 ] , [ 33, 96, 32, 97 ] , [ 41, 56, 8, 89 ] , [ 41, 88, 40, 89 ] , [ 44, 5, 91, 86 ] , [ 45, 68, 28, 85 ] , [ 55, 34, 14, 11 ] , [ 65, 64, 64, 65 ] , [ 68, 81, 7, 46 ] , [ 81, 112, 16, 49 ] , [ 127, 0, 0, 127 ]
^ Level 132 Name Index  con   len   c2   c3  > SL(2,Z/132Z) Matrix Generators
  132A7 132 2 44 18 0 [ 1, 66, 33, 67 ] , [ 31, 129, 42, 13 ] , [ 45, 88, 44, 45 ] , [ 67, 0, 0, 67 ] , [ 67, 99, 33, 100 ] , [ 88, 71, 101, 89 ] , [ 89, 0, 0, 89 ] , [ 89, 88, 88, 1 ] , [ 109, 0, 0, 109 ]
^ Level 156 Name Index  con   len   c2   c3  > SL(2,Z/156Z) Matrix Generators
  156A7 168 2 14 12 12 [ 1, 39, 39, 118 ] , [ 1, 52, 52, 53 ] , [ 1, 78, 78, 1 ] , [ 45, 88, 125, 33 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 79, 78, 0, 79 ] , [ 109, 144, 36, 49 ] , [ 129, 52, 26, 129 ] , [ 145, 60, 4, 49 ]
  156B7 168 2 14 12 12 [ 1, 39, 39, 118 ] , [ 1, 52, 52, 53 ] , [ 1, 78, 78, 1 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 69, 64, 17, 9 ] , [ 79, 78, 0, 79 ] , [ 109, 144, 36, 49 ] , [ 129, 52, 26, 129 ] , [ 145, 60, 4, 49 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA