[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 5

Groups of Level: 8 10 11 12 14 15 16 17 18 20 21 22 24 26 28 30 32 33 34 35 36 39 40 41 42 44 45 46 48 50 51 52 54 55 56 57 58 59 60 63 64 65 67 68 70 72 73 74 75 78 88 90 96 98 99 126
 
 
^ Level 8 Name Index  con   len   c2   c3  > SL(2,Z/8Z) Matrix Generators
  8A5 Γ(8) 192 1 1 0 0 [ 7, 0, 0, 7 ]
^ Level 10 Name Index  con   len   c2   c3  > SL(2,Z/10Z) Matrix Generators
  10A5 120 1 1 0 0 [ 6, 5, 5, 1 ] , [ 9, 0, 0, 9 ]
  10B5 120 1 10 0 0 [ 5, 2, 2, 9 ] , [ 9, 0, 0, 9 ]
^ Level 11 Name Index  con   len   c2   c3  > SL(2,Z/11Z) Matrix Generators
  11A5 165 1 55 9 0 [ 0, 10, 1, 0 ] , [ 1, 8, 8, 10 ] , [ 10, 0, 0, 10 ]
^ Level 12 Name Index  con   len   c2   c3  > SL(2,Z/12Z) Matrix Generators
  12A5 96 1 4 0 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 1 ]
  12B5 144 1 3 0 0 [ 1, 0, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 0, 6, 5 ] , [ 7, 0, 0, 7 ] , [ 11, 0, 0, 11 ]
  12C5 144 1 18 8 0 [ 1, 6, 6, 1 ] , [ 2, 1, 7, 10 ] , [ 4, 11, 5, 8 ] , [ 11, 0, 0, 11 ]
  12D5 144 1 18 8 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 8, 5, 11, 4 ]
  12E5 192 1 4 0 0 [ 1, 0, 4, 1 ] , [ 1, 0, 8, 1 ] , [ 11, 0, 0, 11 ]
^ Level 14 Name Index  con   len   c2   c3  > SL(2,Z/14Z) Matrix Generators
  14A5 84 1 21 0 0 [ 1, 9, 4, 9 ] , [ 5, 8, 2, 9 ] , [ 8, 7, 7, 1 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ]
  14B5 84 1 21 0 0 [ 1, 7, 7, 8 ] , [ 5, 2, 4, 13 ] , [ 5, 8, 2, 9 ] , [ 13, 0, 0, 13 ]
  14C5 84 2 7 0 0 [ 5, 8, 2, 9 ] , [ 8, 7, 7, 1 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 2, 6, 1 ]
  14D5 84 2 7 0 0 [ 7, 2, 10, 7 ] , [ 11, 4, 8, 3 ] , [ 13, 0, 0, 13 ] , [ 13, 6, 8, 7 ]
  14E5 112 1 28 0 4 [ 1, 7, 7, 8 ] , [ 8, 7, 7, 1 ] , [ 12, 5, 5, 1 ] , [ 13, 12, 12, 9 ]
  14F5 126 1 63 2 0 [ 1, 0, 7, 1 ] , [ 5, 8, 2, 9 ] , [ 9, 12, 10, 1 ] , [ 13, 0, 0, 13 ]
  14G5 126 1 63 8 0 [ 1, 12, 1, 13 ] , [ 5, 8, 2, 9 ] , [ 7, 2, 3, 7 ] , [ 13, 0, 0, 13 ]
^ Level 15 Name Index  con   len   c2   c3  > SL(2,Z/15Z) Matrix Generators
  15A5 120 1 30 8 0 [ 4, 0, 0, 4 ] , [ 8, 10, 1, 7 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ]
  15B5 120 1 60 0 0 [ 1, 0, 5, 1 ] , [ 4, 0, 10, 4 ] , [ 7, 9, 5, 13 ] , [ 11, 0, 10, 11 ]
  15C5 144 1 6 0 0 [ 4, 0, 0, 4 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 0, 11 ]
  15D5 160 1 40 0 4 [ 1, 0, 10, 1 ] , [ 10, 12, 12, 4 ] , [ 14, 0, 10, 14 ]
^ Level 16 Name Index  con   len   c2   c3  > SL(2,Z/16Z) Matrix Generators
  16A5 96 1 3 0 0 [ 1, 8, 8, 1 ] , [ 1, 12, 4, 1 ] , [ 3, 8, 0, 11 ] , [ 7, 4, 12, 7 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 4, 5 ] , [ 15, 8, 8, 15 ]
  16B5 96 1 3 0 0 [ 1, 8, 8, 1 ] , [ 1, 12, 12, 1 ] , [ 9, 0, 0, 9 ] , [ 13, 0, 0, 5 ] , [ 13, 4, 4, 5 ] , [ 15, 0, 0, 15 ]
  16C5 96 1 6 0 0 [ 1, 4, 8, 1 ] , [ 1, 8, 0, 1 ] , [ 7, 12, 8, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 6, 4, 11 ] , [ 11, 10, 12, 11 ] , [ 11, 14, 4, 11 ]
  16D5 96 1 6 0 0 [ 1, 4, 8, 1 ] , [ 1, 8, 0, 1 ] , [ 3, 2, 4, 3 ] , [ 3, 6, 12, 3 ] , [ 7, 12, 8, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 10, 4, 11 ]
  16E5 96 1 12 0 0 [ 0, 5, 3, 8 ] , [ 1, 8, 8, 1 ] , [ 1, 12, 12, 1 ] , [ 9, 8, 8, 9 ] , [ 9, 12, 12, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ]
  16F5 96 1 12 0 0 [ 0, 11, 13, 8 ] , [ 1, 8, 8, 1 ] , [ 3, 0, 0, 11 ] , [ 9, 0, 0, 9 ] , [ 15, 8, 8, 15 ]
  16G5 96 1 12 0 0 [ 1, 8, 8, 1 ] , [ 5, 4, 4, 13 ] , [ 7, 8, 8, 7 ] , [ 9, 8, 8, 9 ] , [ 12, 1, 15, 12 ] , [ 13, 4, 4, 5 ] , [ 15, 8, 8, 15 ]
  16H5 96 1 24 0 0 [ 1, 8, 8, 1 ] , [ 4, 9, 7, 0 ] , [ 7, 0, 0, 7 ] , [ 8, 1, 15, 4 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 12, 15 ]
  16I5 96 1 24 4 0 [ 0, 5, 3, 8 ] , [ 1, 8, 8, 1 ] , [ 1, 12, 12, 1 ] , [ 9, 0, 8, 9 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ]
  16J5 96 1 24 4 0 [ 1, 8, 8, 1 ] , [ 9, 4, 4, 9 ] , [ 9, 8, 0, 9 ] , [ 9, 12, 12, 9 ] , [ 12, 3, 5, 4 ] , [ 15, 8, 8, 15 ]
  16K5 128 1 16 0 8 [ 5, 5, 13, 10 ] , [ 9, 0, 8, 9 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ]
  16L5 128 2 64 8 2 [ 2, 11, 11, 13 ] , [ 8, 3, 5, 8 ] , [ 8, 13, 11, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ]
  16M5 192 1 3 0 0 [ 3, 4, 12, 11 ] , [ 5, 12, 4, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ]
  16N5 192 1 12 0 0 [ 1, 8, 0, 1 ] , [ 9, 12, 0, 9 ] , [ 13, 10, 8, 5 ] , [ 15, 8, 0, 15 ]
  16O5 192 1 12 0 0 [ 1, 0, 8, 1 ] , [ 9, 8, 8, 9 ] , [ 13, 12, 4, 5 ] , [ 15, 0, 8, 15 ]
^ Level 17 Name Index  con   len   c2   c3  > SL(2,Z/17Z) Matrix Generators
  17A5 Γ1(17) 144 1 18 0 0 [ 1, 0, 7, 1 ] , [ 16, 0, 0, 16 ]
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A5 72 1 3 0 0 [ 1, 6, 12, 1 ] , [ 7, 6, 0, 13 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ]
  18B5 72 1 6 0 0 [ 1, 15, 15, 10 ] , [ 7, 9, 15, 4 ] , [ 7, 15, 9, 4 ] , [ 17, 0, 0, 17 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A5 80 1 40 0 2 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 16, 17 ]
  20B5 80 1 40 0 2 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ]
  20C5 90 1 45 2 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 2, 14, 1 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 5, 1 ] , [ 13, 4, 0, 17 ]
  20D5 96 1 24 0 0 [ 5, 12, 12, 17 ] , [ 11, 0, 0, 11 ] , [ 16, 5, 15, 11 ] , [ 19, 0, 0, 19 ]
  20E5 120 1 30 0 0 [ 1, 0, 10, 1 ] , [ 5, 12, 12, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 0, 15, 11 ]
  20F5 120 1 30 8 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 19, 3 ]
  20G5 120 2 30 4 0 [ 1, 10, 0, 1 ] , [ 5, 12, 12, 9 ] , [ 7, 10, 19, 13 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]
  20H5 120 2 60 4 6 [ 1, 10, 10, 1 ] , [ 5, 14, 1, 15 ] , [ 10, 17, 17, 9 ] , [ 11, 10, 0, 11 ] , [ 19, 0, 0, 19 ]
  20I5 144 1 18 0 0 [ 1, 0, 10, 1 ] , [ 1, 16, 16, 17 ] , [ 13, 16, 16, 9 ] , [ 15, 12, 2, 7 ]
  20J5 144 1 36 8 0 [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 9, 6, 13, 11 ] , [ 11, 0, 0, 11 ]
  20K5 144 2 18 8 0 [ 1, 2, 9, 19 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 16, 9 ] , [ 17, 8, 8, 5 ] , [ 19, 0, 0, 19 ]
^ Level 21 Name Index  con   len   c2   c3  > SL(2,Z/21Z) Matrix Generators
  21A5 84 1 84 0 0 [ 1, 7, 14, 15 ] , [ 1, 18, 3, 13 ] , [ 4, 6, 3, 10 ] , [ 7, 18, 12, 7 ] , [ 8, 14, 7, 15 ] , [ 13, 0, 0, 13 ] , [ 15, 4, 17, 20 ] , [ 15, 14, 7, 1 ]
  21B5 84 2 21 4 0 [ 4, 6, 3, 10 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 12, 6, 16 ]
  21C5 96 1 8 0 0 [ 1, 0, 9, 1 ] , [ 4, 0, 15, 16 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ]
  21D5 126 2 63 14 0 [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 2, 8, 2 ] , [ 19, 20, 11, 5 ]
  21E5 Γ1(21) 192 1 32 0 0 [ 1, 0, 2, 1 ] , [ 1, 0, 6, 1 ] , [ 20, 0, 2, 20 ] , [ 20, 0, 19, 20 ]
^ Level 22 Name Index  con   len   c2   c3  > SL(2,Z/22Z) Matrix Generators
  22A5 66 2 11 0 0 [ 9, 14, 16, 3 ] , [ 13, 20, 8, 9 ] , [ 21, 0, 0, 21 ]
  22B5 110 1 55 0 8 [ 1, 11, 11, 12 ] , [ 3, 20, 16, 19 ] , [ 5, 8, 14, 5 ] , [ 19, 2, 6, 3 ] , [ 19, 6, 8, 13 ] , [ 19, 16, 20, 3 ] , [ 21, 0, 0, 21 ]
  22C5 110 2 55 8 2 [ 1, 8, 19, 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
  24A5 72 1 3 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 8, 17 ] , [ 1, 12, 18, 1 ] , [ 9, 4, 14, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 18, 19 ] , [ 21, 16, 8, 21 ] , [ 21, 20, 10, 21 ]
  24B5 72 1 6 0 0 [ 1, 12, 12, 1 ] , [ 4, 9, 15, 16 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 20, 4, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] , [ 19, 20, 20, 11 ] , [ 23, 0, 0, 23 ]
  24C5 72 1 9 0 0 [ 1, 0, 12, 1 ] , [ 5, 18, 3, 11 ] , [ 7, 6, 21, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 2, 5, 13 ] , [ 23, 18, 3, 17 ]
  24D5 72 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 9, 8, 16, 9 ] , [ 11, 2, 17, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ]
  24E5 72 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 6, 15, 19 ] , [ 1, 16, 4, 17 ] , [ 7, 12, 6, 7 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 18, 9, 5 ]
  24F5 72 1 9 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 2, 17 ] , [ 1, 20, 8, 17 ] , [ 9, 4, 20, 9 ] , [ 9, 8, 22, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 20, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 18, 19 ] , [ 21, 16, 2, 21 ]
  24G5 72 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 6, 3, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 18, 9, 13 ] , [ 9, 8, 4, 9 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 18, 9, 1 ] , [ 19, 20, 2, 11 ] , [ 23, 0, 0, 23 ]
  24H5 96 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 20, 12, 5 ] , [ 7, 0, 18, 7 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ]
  24I5 96 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 8, 0, 5 ] , [ 5, 20, 6, 5 ] , [ 11, 20, 6, 11 ] , [ 13, 12, 18, 13 ] , [ 17, 8, 0, 17 ]
  24J5 96 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 18, 3, 19 ] , [ 17, 16, 12, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 16, 12, 23 ]
  24K5 96 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 6, 3, 19 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 16, 12, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 16, 12, 23 ]
  24L5 96 1 24 8 0 [ 1, 12, 12, 1 ] , [ 4, 17, 23, 20 ] , [ 7, 0, 12, 7 ] , [ 10, 3, 3, 13 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 16, 5, 11, 20 ]
  24M5 96 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 18, 9, 19 ] , [ 19, 0, 12, 19 ] , [ 19, 4, 18, 19 ] , [ 19, 12, 6, 19 ] , [ 23, 6, 15, 5 ] , [ 23, 12, 6, 23 ]
  24N5 96 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 6, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 12, 6, 1 ] , [ 5, 10, 3, 11 ] , [ 7, 0, 0, 7 ] , [ 17, 4, 6, 17 ] , [ 17, 20, 6, 17 ] , [ 19, 6, 21, 13 ]
  24O5 96 1 48 8 0 [ 1, 16, 16, 17 ] , [ 4, 3, 21, 4 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 20, 17, 23, 4 ] , [ 22, 15, 3, 1 ]
  24P5 96 2 12 8 0 [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 15, 15, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 16, 5, 11, 8 ] , [ 17, 0, 0, 17 ]
  24Q5 128 1 16 0 8 [ 1, 4, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 22, 11, 15, 1 ] , [ 23, 0, 0, 23 ]
  24R5 144 1 6 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 12, 17 ]
  24S5 144 1 9 16 0 [ 1, 0, 12, 1 ] , [ 1, 10, 19, 23 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 10, 19, 5 ]
  24T5 144 1 18 8 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 10, 13, 11 ] , [ 7, 12, 0, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ]
  24U5 144 1 18 8 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 10, 19, 5 ]
  24V5 144 1 18 16 0 [ 1, 0, 12, 1 ] , [ 5, 0, 0, 5 ] , [ 13, 0, 12, 13 ] , [ 13, 10, 19, 11 ] , [ 13, 14, 5, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 22, 1, 5 ] , [ 23, 0, 12, 23 ]
  24W5 144 1 18 16 0 [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 16, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ]
  24X5 144 1 36 16 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 3, 20, 22, 3 ] , [ 7, 0, 0, 7 ] , [ 13, 22, 1, 11 ] , [ 17, 0, 0, 17 ]
  24Y5 144 1 36 16 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 9, 16, 20, 9 ] , [ 11, 22, 1, 13 ] , [ 17, 0, 0, 17 ]
  24Z5 192 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 8, 18, 1 ] , [ 11, 8, 18, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 18, 13 ]
  24AA5 Γ1(24) 192 1 48 0 0 [ 1, 0, 3, 1 ] , [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 8, 15, 1 ] , [ 1, 16, 6, 1 ] , [ 23, 16, 9, 23 ] , [ 23, 16, 21, 23 ]
  24AB5 192 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 13, 4, 12, 13 ] , [ 13, 12, 12, 13 ] , [ 13, 12, 18, 13 ] , [ 23, 16, 6, 23 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A5 84 1 14 0 0 [ 1, 13, 13, 14 ] , [ 15, 22, 24, 11 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ]
  26B5 84 1 14 0 0 [ 1, 6, 6, 11 ] , [ 3, 6, 20, 23 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ]
  26C5 168 1 28 0 12 [ 19, 24, 6, 9 ] , [ 21, 11, 17, 4 ] , [ 25, 0, 0, 25 ]
^ Level 28 Name Index  con   len   c2   c3  > SL(2,Z/28Z) Matrix Generators
  28A5 84 2 21 0 0 [ 1, 7, 0, 1 ] , [ 1, 14, 0, 1 ] , [ 5, 8, 16, 9 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 21 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 21 ]
  28B5 84 2 21 4 0 [ 1, 7, 14, 15 ] , [ 1, 14, 0, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 12, 21 ] , [ 15, 14, 0, 15 ] , [ 17, 24, 20, 25 ]
  28C5 84 2 42 6 0 [ 1, 7, 14, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 21, 8, 20, 13 ] , [ 21, 12, 4, 21 ]
  28D5 84 2 42 6 0 [ 9, 12, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ]
  28E5 96 1 24 0 0 [ 1, 0, 14, 1 ] , [ 5, 8, 4, 1 ] , [ 5, 8, 18, 1 ] , [ 19, 8, 18, 15 ] , [ 25, 8, 12, 5 ] , [ 25, 16, 4, 25 ]
  28F5 112 1 28 8 4 [ 1, 7, 7, 22 ] , [ 1, 12, 1, 13 ] , [ 1, 14, 14, 1 ] , [ 13, 0, 14, 13 ] , [ 15, 14, 0, 15 ] , [ 25, 12, 0, 9 ]
  28G5 112 1 28 8 4 [ 1, 7, 7, 22 ] , [ 1, 14, 14, 1 ] , [ 13, 0, 14, 13 ] , [ 13, 16, 13, 1 ] , [ 15, 14, 0, 15 ] , [ 25, 12, 0, 9 ]
  28H5 126 1 63 8 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 7, 2, 10, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 26, 22, 27 ]
  28I5 128 1 32 0 8 [ 13, 24, 16, 21 ] , [ 15, 24, 8, 11 ] , [ 17, 24, 8, 13 ] , [ 22, 21, 21, 1 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A5 60 1 10 0 0 [ 1, 15, 15, 16 ] , [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ]
  30B5 60 1 15 0 0 [ 1, 15, 15, 16 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ]
  30C5 72 1 6 0 0 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 16, 15, 15, 1 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
  30D5 72 1 12 0 0 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 6, 6, 19 ] , [ 16, 15, 25, 1 ] , [ 19, 0, 0, 19 ]
  30E5 72 1 18 0 0 [ 1, 12, 9, 19 ] , [ 5, 12, 12, 17 ] , [ 13, 6, 6, 19 ] , [ 13, 16, 1, 29 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ]
  30F5 72 1 18 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 6, 19 ] , [ 13, 10, 28, 17 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]
  30G5 72 1 18 0 0 [ 11, 0, 0, 11 ] , [ 11, 5, 20, 1 ] , [ 11, 10, 10, 1 ] , [ 16, 15, 15, 1 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
  30H5 72 1 18 0 0 [ 1, 12, 24, 19 ] , [ 5, 12, 12, 17 ] , [ 13, 6, 6, 19 ] , [ 13, 16, 16, 29 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ]
  30I5 80 1 40 0 2 [ 1, 0, 20, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 5, 13 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 10, 19 ] , [ 19, 18, 18, 25 ]
  30J5 80 1 40 0 2 [ 1, 0, 20, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 20, 13 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 10, 19 ] , [ 19, 18, 18, 25 ]
  30K5 90 1 30 6 0 [ 1, 0, 15, 1 ] , [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ]
  30L5 90 1 45 8 0 [ 3, 20, 28, 27 ] , [ 7, 6, 15, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 19, 1 ]
  30M5 96 1 24 0 0 [ 1, 0, 10, 1 ] , [ 1, 15, 15, 16 ] , [ 13, 6, 6, 19 ] , [ 13, 27, 2, 25 ] , [ 23, 12, 22, 5 ]
  30N5 96 1 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 15, 15, 16 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 10, 19 ] , [ 25, 12, 12, 7 ]
  30O5 108 1 54 4 0 [ 1, 15, 0, 1 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 12, 23 ] , [ 17, 10, 22, 13 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
  30P5 108 1 54 8 0 [ 1, 25, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ]
  30Q5 120 1 30 16 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 19, 13 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ]
  30R5 144 1 18 16 0 [ 1, 15, 15, 16 ] , [ 1, 22, 19, 29 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 24, 24, 13 ]
  30S5 144 1 72 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 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
  32A5 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 1, 22, 8, 17 ] , [ 5, 16, 16, 13 ] , [ 9, 12, 16, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 17 ] , [ 17, 24, 0, 17 ] , [ 19, 26, 8, 11 ] , [ 25, 0, 0, 9 ] , [ 25, 24, 0, 9 ] , [ 25, 28, 16, 9 ]
  32B5 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 5, 16, 0, 13 ] , [ 13, 30, 24, 21 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 17 ] , [ 17, 24, 0, 17 ] , [ 19, 26, 8, 11 ] , [ 21, 12, 16, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 24, 0, 9 ] , [ 25, 28, 16, 9 ]
  32C5 96 1 12 0 0 [ 1, 16, 16, 1 ] , [ 7, 8, 24, 23 ] , [ 9, 8, 24, 25 ] , [ 11, 2, 30, 23 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 27, 2, 30, 7 ] , [ 29, 4, 12, 5 ] , [ 30, 13, 3, 12 ]
  32D5 96 1 12 0 0 [ 1, 16, 16, 1 ] , [ 7, 8, 24, 23 ] , [ 9, 8, 24, 25 ] , [ 10, 11, 5, 28 ] , [ 11, 2, 30, 23 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 27, 2, 30, 7 ] , [ 29, 4, 12, 5 ]
  32E5 96 1 12 8 0 [ 1, 16, 16, 1 ] , [ 16, 17, 15, 0 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 12, 12, 1 ] , [ 25, 0, 0, 9 ] , [ 29, 12, 28, 5 ] , [ 29, 20, 4, 5 ] , [ 31, 0, 0, 31 ]
  32F5 96 1 12 8 0 [ 1, 16, 16, 1 ] , [ 4, 1, 15, 28 ] , [ 13, 0, 0, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 28, 12, 1 ] , [ 25, 0, 0, 9 ] , [ 29, 20, 4, 5 ] , [ 31, 0, 0, 31 ]
  32G5 96 1 12 8 0 [ 1, 16, 16, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 28, 12, 1 ] , [ 20, 1, 15, 28 ] , [ 20, 13, 11, 12 ] , [ 25, 0, 0, 9 ] , [ 29, 4, 4, 5 ] , [ 31, 0, 0, 31 ]
  32H5 96 1 24 4 0 [ 0, 9, 7, 24 ] , [ 11, 28, 20, 19 ] , [ 13, 0, 0, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 25, 8, 24, 9 ] , [ 25, 16, 16, 9 ] , [ 31, 8, 24, 31 ] , [ 31, 20, 28, 15 ]
  32I5 96 1 24 4 0 [ 13, 0, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 23, 12, 20, 23 ] , [ 25, 8, 24, 9 ] , [ 25, 16, 16, 9 ] , [ 28, 27, 29, 4 ] , [ 31, 8, 24, 31 ] , [ 31, 20, 12, 15 ]
  32J5 96 1 24 8 0 [ 9, 6, 22, 29 ] , [ 9, 8, 8, 25 ] , [ 14, 19, 25, 2 ] , [ 14, 27, 1, 18 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ]
  32K5 96 1 24 8 0 [ 9, 6, 6, 29 ] , [ 9, 8, 8, 25 ] , [ 16, 3, 21, 0 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 22, 21 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ]
  32L5 96 2 12 8 0 [ 9, 6, 6, 29 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 16, 25 ] , [ 16, 3, 21, 0 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ]
  32M5 192 1 6 0 0 [ 1, 4, 16, 1 ] , [ 1, 12, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 9, 20, 16, 25 ] , [ 11, 6, 8, 19 ] , [ 13, 14, 8, 21 ] , [ 13, 18, 24, 21 ] , [ 17, 8, 0, 17 ]
  32N5 192 1 12 0 0 [ 1, 4, 0, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 9, 20, 16, 25 ] , [ 13, 10, 24, 21 ] , [ 13, 14, 24, 21 ] , [ 13, 18, 24, 21 ] , [ 17, 8, 0, 17 ] , [ 31, 24, 0, 31 ]
  32O5 192 1 24 0 0 [ 1, 2, 30, 29 ] , [ 1, 16, 16, 1 ] , [ 9, 8, 24, 25 ] , [ 17, 16, 16, 17 ] , [ 18, 27, 21, 12 ] , [ 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
  33A5 72 1 36 0 0 [ 1, 22, 22, 23 ] , [ 13, 30, 15, 22 ] , [ 19, 18, 27, 10 ] , [ 23, 0, 0, 23 ] , [ 32, 0, 0, 32 ]
  33B5 96 1 48 0 0 [ 1, 0, 11, 1 ] , [ 25, 6, 9, 22 ] , [ 31, 9, 21, 4 ] , [ 32, 0, 0, 32 ]
^ Level 34 Name Index  con   len   c2   c3  > SL(2,Z/34Z) Matrix Generators
  34A5 72 1 18 0 0 [ 1, 0, 2, 1 ] , [ 9, 0, 23, 19 ] , [ 13, 0, 32, 21 ] , [ 18, 17, 17, 1 ] , [ 33, 0, 0, 33 ]
  34B5 72 1 18 0 0 [ 1, 0, 12, 1 ] , [ 9, 0, 8, 19 ] , [ 18, 17, 17, 1 ] , [ 21, 0, 14, 13 ] , [ 33, 0, 0, 33 ]
  34C5 108 1 54 4 0 [ 1, 0, 13, 1 ] , [ 1, 0, 26, 1 ] , [ 19, 0, 26, 9 ] , [ 21, 0, 14, 13 ] , [ 33, 0, 0, 33 ]
  34D5 144 1 18 16 0 [ 1, 0, 24, 1 ] , [ 18, 17, 17, 1 ] , [ 21, 0, 23, 13 ] , [ 33, 0, 0, 33 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A5 80 1 80 0 2 [ 1, 0, 25, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 0, 0, 11 ] , [ 22, 0, 2, 8 ] , [ 27, 7, 6, 34 ] , [ 29, 0, 0, 29 ]
  35B5 84 2 42 4 0 [ 1, 0, 14, 1 ] , [ 6, 0, 0, 6 ] , [ 11, 25, 0, 16 ] , [ 16, 30, 15, 26 ] , [ 21, 10, 30, 21 ] , [ 33, 0, 9, 17 ] , [ 34, 0, 0, 34 ]
  35C5 96 1 48 0 0 [ 1, 0, 30, 1 ] , [ 8, 7, 28, 29 ] , [ 15, 14, 21, 22 ] , [ 15, 21, 14, 8 ] , [ 16, 0, 0, 11 ] , [ 34, 28, 7, 13 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A5 72 1 12 0 0 [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 10, 9, 27, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ]
  36B5 72 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 18, 9, 19 ] , [ 13, 0, 0, 25 ] , [ 13, 24, 20, 1 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]
  36C5 72 2 18 4 0 [ 1, 34, 19, 35 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 19, 27, 9, 28 ] , [ 25, 0, 0, 13 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]
  36D5 72 2 36 4 0 [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 21, 22, 11, 3 ] , [ 25, 0, 12, 13 ] , [ 25, 3, 3, 22 ] , [ 25, 24, 24, 13 ] , [ 35, 24, 12, 35 ]
  36E5 72 2 36 4 0 [ 1, 4, 28, 5 ] , [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ]
  36F5 96 1 16 0 0 [ 1, 0, 8, 1 ] , [ 1, 0, 12, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ]
  36G5 96 1 16 0 6 [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ]
  36H5 108 1 9 12 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 23, 34, 31, 13 ] , [ 25, 12, 0, 13 ] , [ 31, 18, 33, 25 ]
  36I5 108 1 54 4 0 [ 1, 0, 18, 1 ] , [ 1, 24, 12, 1 ] , [ 3, 34, 23, 21 ] , [ 13, 0, 0, 25 ] , [ 17, 24, 12, 17 ] , [ 19, 0, 0, 19 ] , [ 21, 16, 32, 21 ]
  36J5 108 1 108 14 0 [ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 28, 4, 25 ]
  36K5 108 2 27 12 0 [ 1, 0, 18, 1 ] , [ 15, 28, 35, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 23, 34, 13, 13 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ]
  36L5 144 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 8, 13 ] , [ 35, 0, 0, 35 ]
  36M5 144 1 12 24 0 [ 1, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 20, 19, 13, 16 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ]
^ Level 39 Name Index  con   len   c2   c3  > SL(2,Z/39Z) Matrix Generators
  39A5 84 1 42 4 0 [ 7, 6, 36, 31 ] , [ 10, 12, 3, 31 ] , [ 14, 0, 0, 14 ] , [ 27, 13, 26, 27 ] , [ 30, 16, 29, 9 ] , [ 38, 0, 0, 38 ]
  39B5 112 1 56 0 4 [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 7, 21, 15, 34 ] , [ 14, 0, 26, 14 ] , [ 25, 0, 0, 25 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A5 60 1 15 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 17, 8, 16, 17 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ] , [ 33, 0, 32, 17 ]
  40B5 72 1 18 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 6 ] , [ 16, 5, 35, 16 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ]
  40C5 72 1 18 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ]
  40D5 80 1 80 4 2 [ 8, 37, 19, 8 ] , [ 16, 5, 35, 16 ] , [ 16, 25, 15, 16 ] , [ 23, 24, 0, 7 ] , [ 26, 35, 35, 21 ] , [ 31, 0, 0, 31 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ]
  40E5 80 2 40 4 2 [ 1, 5, 25, 6 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 20, 16, 33 ] , [ 21, 10, 35, 11 ] , [ 21, 20, 0, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ]
  40F5 80 2 40 4 2 [ 1, 5, 25, 6 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 16, 33 ] , [ 21, 10, 35, 11 ] , [ 21, 20, 0, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ]
  40G5 96 1 24 8 0 [ 1, 20, 20, 1 ] , [ 6, 25, 5, 1 ] , [ 12, 35, 37, 28 ] , [ 21, 0, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 28, 35, 13, 32 ] , [ 39, 0, 0, 39 ]
  40H5 96 1 24 8 0 [ 1, 20, 20, 1 ] , [ 6, 25, 5, 1 ] , [ 9, 0, 20, 9 ] , [ 21, 0, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 28, 35, 13, 12 ] , [ 39, 0, 0, 39 ]
  40I5 96 1 96 8 0 [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 21, 0, 0, 21 ] , [ 21, 15, 15, 26 ] , [ 25, 32, 32, 17 ] , [ 32, 37, 35, 8 ] , [ 39, 0, 0, 39 ]
  40J5 96 2 24 8 0 [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 24, 13, 11, 16 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ]
  40K5 120 2 30 4 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 32, 32, 25 ] , [ 17, 30, 6, 13 ] , [ 21, 0, 20, 21 ] , [ 29, 20, 20, 29 ] , [ 31, 20, 10, 31 ]
  40L5 144 1 18 16 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 ] , [ 31, 20, 20, 31 ]
  40M5 144 1 36 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ]
  40N5 144 1 36 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 14, 23, 21, 6 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 10, 11 ] , [ 39, 20, 20, 39 ]
  40O5 144 2 18 8 0 [ 1, 20, 20, 1 ] , [ 21, 0, 0, 21 ] , [ 30, 39, 21, 30 ] , [ 31, 30, 10, 11 ] , [ 33, 16, 16, 9 ] , [ 34, 23, 21, 6 ] , [ 39, 20, 20, 39 ]
^ Level 41 Name Index  con   len   c2   c3  > SL(2,Z/41Z) Matrix Generators
  41A5 84 1 42 4 0 [ 6, 22, 18, 32 ] , [ 11, 15, 7, 32 ] , [ 15, 16, 28, 19 ] , [ 22, 16, 28, 26 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A5 72 1 24 0 0 [ 7, 18, 12, 13 ] , [ 13, 14, 14, 41 ] , [ 15, 7, 14, 15 ] , [ 15, 28, 14, 15 ] , [ 19, 6, 30, 25 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 31, 24, 36, 13 ]
  42B5 72 2 24 0 0 [ 1, 0, 21, 1 ] , [ 7, 18, 40, 13 ] , [ 13, 18, 6, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 39, 22, 26, 33 ] , [ 41, 28, 28, 13 ]
  42C5 84 2 14 0 6 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 32, 12, 7 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 21, 21, 8 ] , [ 29, 28, 28, 1 ]
  42D5 84 2 14 0 6 [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 12, 7 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 7, 21, 8 ] , [ 29, 28, 28, 1 ]
  42E5 84 2 21 8 0 [ 1, 21, 21, 22 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 39, 13 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 38, 2, 7 ] , [ 37, 30, 0, 25 ]
  42F5 84 2 21 8 0 [ 1, 14, 14, 29 ] , [ 1, 28, 7, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 37 ] , [ 29, 0, 0, 29 ]
  42G5 Γ0(42) 96 1 96 0 0 [ 1, 0, 21, 1 ] , [ 1, 0, 28, 1 ] , [ 1, 30, 30, 19 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 18, 7 ]
  42H5 126 1 63 20 0 [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 18, 1 ] , [ 15, 14, 7, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ]
  42I5 128 1 32 0 8 [ 1, 0, 14, 1 ] , [ 7, 30, 24, 37 ] , [ 22, 21, 21, 1 ] , [ 31, 30, 18, 31 ] , [ 41, 0, 0, 41 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A5 66 2 33 0 0 [ 1, 0, 22, 1 ] , [ 9, 36, 16, 25 ] , [ 13, 20, 8, 9 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 23, 0, 33, 23 ]
  44B5 72 1 36 0 0 [ 1, 0, 22, 1 ] , [ 1, 22, 33, 23 ] , [ 5, 28, 32, 21 ] , [ 21, 8, 20, 37 ] , [ 21, 28, 36, 25 ] , [ 23, 0, 22, 23 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A5 60 1 20 0 0 [ 1, 27, 9, 19 ] , [ 1, 40, 30, 31 ] , [ 10, 9, 36, 19 ] , [ 16, 15, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 31, 0, 0, 16 ] , [ 41, 25, 30, 26 ]
  45B5 60 2 20 0 0 [ 1, 27, 9, 19 ] , [ 1, 35, 30, 16 ] , [ 10, 4, 36, 19 ] , [ 14, 21, 39, 20 ] , [ 16, 15, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 31, 0, 0, 16 ]
  45C5 72 1 24 0 0 [ 17, 42, 42, 35 ] , [ 31, 0, 30, 16 ] , [ 31, 30, 15, 16 ] , [ 32, 3, 0, 38 ] , [ 34, 30, 0, 4 ] , [ 36, 35, 10, 26 ] , [ 37, 27, 27, 10 ]
  45D5 72 1 24 0 0 [ 17, 42, 42, 35 ] , [ 23, 4, 29, 9 ] , [ 31, 0, 30, 16 ] , [ 31, 30, 15, 16 ] , [ 32, 3, 0, 38 ] , [ 34, 30, 0, 4 ] , [ 37, 27, 27, 10 ]
  45E5 90 1 90 10 0 [ 1, 40, 40, 26 ] , [ 13, 31, 25, 32 ] , [ 16, 30, 30, 31 ] , [ 19, 18, 18, 10 ] , [ 31, 30, 0, 16 ] , [ 36, 25, 5, 36 ] , [ 41, 0, 15, 11 ] , [ 44, 0, 0, 44 ]
  45F5 108 1 18 12 0 [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 28, 9, 9, 19 ] , [ 31, 15, 15, 16 ] , [ 34, 27, 24, 31 ] , [ 41, 0, 15, 11 ] , [ 44, 17, 29, 1 ] , [ 44, 30, 15, 44 ]
  45G5 108 1 108 4 0 [ 1, 0, 15, 1 ] , [ 4, 12, 24, 16 ] , [ 11, 30, 0, 41 ] , [ 11, 35, 35, 1 ] , [ 29, 21, 36, 23 ] , [ 31, 30, 0, 16 ] , [ 34, 15, 30, 4 ] , [ 37, 27, 27, 10 ]
  45H5 144 1 24 0 0 [ 11, 30, 15, 41 ] , [ 21, 35, 40, 26 ] , [ 28, 9, 9, 19 ] , [ 31, 15, 0, 16 ] , [ 31, 30, 15, 16 ] , [ 34, 30, 0, 4 ]
^ Level 46 Name Index  con   len   c2   c3  > SL(2,Z/46Z) Matrix Generators
  46A5 Γ0(46) 72 1 72 0 0 [ 1, 0, 23, 1 ] , [ 1, 24, 32, 33 ] , [ 27, 16, 44, 21 ] , [ 45, 0, 0, 45 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A5 72 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 9, 40, 35, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ]
  48B5 72 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 32, 35, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 40, 40, 41 ] , [ 37, 0, 36, 13 ] , [ 41, 40, 40, 25 ] , [ 47, 0, 0, 47 ]
  48C5 96 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 16, 45, 27, 46 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 32 ]
  48D5 96 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 17, 0, 0, 17 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 16 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 43, 30, 42, 7 ]
  48E5 144 1 6 24 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ]
  48F5 144 1 12 24 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 17, 24, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 37, 44, 38, 5 ] , [ 39, 34, 47, 9 ]
  48G5 144 1 18 24 0 [ 1, 0, 24, 1 ] , [ 7, 44, 2, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 19, 44, 14, 35 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ]
  48H5 144 1 36 24 0 [ 1, 0, 24, 1 ] , [ 1, 4, 46, 41 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 37, 44, 38, 5 ] , [ 39, 34, 47, 9 ] , [ 41, 24, 36, 41 ]
  48I5 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 4, 27, 21, 46 ] , [ 13, 12, 36, 37 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 31, 6, 42, 19 ] , [ 34, 45, 27, 16 ]
  48J5 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 4, 27, 21, 46 ] , [ 19, 18, 30, 31 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 8 ] , [ 43, 30, 18, 7 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A5 60 1 30 0 0 [ 11, 30, 30, 41 ] , [ 21, 20, 0, 31 ] , [ 26, 25, 25, 1 ] , [ 29, 30, 0, 19 ] , [ 33, 8, 30, 27 ] , [ 43, 26, 26, 39 ]
  50B5 60 1 30 0 0 [ 1, 25, 25, 26 ] , [ 7, 48, 8, 5 ] , [ 19, 6, 38, 41 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 16, 6, 17 ]
  50C5 60 1 30 0 0 [ 1, 25, 25, 26 ] , [ 9, 4, 44, 3 ] , [ 9, 20, 40, 39 ] , [ 19, 38, 46, 21 ] , [ 31, 30, 0, 21 ] , [ 41, 20, 20, 11 ]
  50D5 60 1 30 0 0 [ 26, 25, 25, 1 ] , [ 29, 0, 30, 19 ] , [ 37, 30, 42, 3 ] , [ 41, 0, 40, 11 ] , [ 41, 20, 20, 11 ] , [ 49, 14, 34, 23 ]
  50E5 100 1 50 0 10 [ 1, 25, 25, 26 ] , [ 3, 30, 46, 27 ] , [ 31, 0, 10, 21 ] , [ 39, 0, 30, 9 ] , [ 41, 40, 40, 11 ] , [ 49, 18, 18, 25 ]
  50F5 120 1 6 0 0 [ 1, 25, 25, 26 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 20, 29 ] , [ 23, 26, 16, 29 ] , [ 41, 40, 0, 11 ]
^ Level 51 Name Index  con   len   c2   c3  > SL(2,Z/51Z) Matrix Generators
  51A5 Γ0(51) 72 1 72 0 0 [ 1, 0, 42, 1 ] , [ 1, 17, 0, 1 ] , [ 4, 17, 48, 13 ] , [ 16, 34, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 44, 34, 39, 29 ] , [ 49, 34, 42, 25 ]
  51B5 108 1 18 12 0 [ 1, 0, 3, 1 ] , [ 1, 17, 17, 35 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 18, 34, 17, 18 ] , [ 32, 0, 42, 8 ] , [ 35, 0, 0, 35 ]
^ Level 52 Name Index  con   len   c2   c3  > SL(2,Z/52Z) Matrix Generators
  52A5 Γ0(52) 84 1 42 0 0 [ 1, 0, 13, 1 ] , [ 1, 0, 26, 1 ] , [ 1, 32, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 26, 27 ] , [ 29, 32, 20, 49 ] , [ 45, 24, 32, 9 ]
  52B5 84 1 42 4 0 [ 1, 0, 26, 1 ] , [ 1, 32, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 26, 27 ] , [ 27, 26, 13, 1 ] , [ 29, 32, 20, 49 ] , [ 45, 24, 32, 9 ]
  52C5 112 1 56 8 4 [ 1, 13, 13, 14 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 33, 32, 36, 5 ] , [ 35, 10, 49, 17 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A5 72 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 42, 1 ] , [ 17, 0, 0, 35 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 42, 19 ] , [ 49, 36, 22, 25 ]
  54B5 72 1 24 0 0 [ 1, 0, 36, 1 ] , [ 19, 0, 12, 37 ] , [ 31, 45, 19, 52 ] , [ 37, 0, 0, 19 ] , [ 40, 45, 35, 7 ] , [ 46, 45, 27, 37 ] , [ 53, 0, 0, 53 ]
  54C5 72 1 24 0 3 [ 1, 0, 18, 1 ] , [ 16, 15, 25, 37 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 45, 10 ] , [ 25, 27, 51, 40 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 24, 19 ] , [ 53, 0, 0, 53 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A5 60 1 60 0 0 [ 1, 33, 11, 34 ] , [ 11, 30, 15, 46 ] , [ 21, 0, 0, 21 ] , [ 31, 15, 20, 31 ] , [ 34, 0, 0, 34 ] , [ 37, 20, 32, 53 ] , [ 50, 21, 49, 14 ]
  55B5 Γ0(55) 72 1 72 0 0 [ 1, 11, 0, 1 ] , [ 11, 30, 15, 46 ] , [ 12, 33, 0, 23 ] , [ 21, 0, 0, 21 ] , [ 31, 15, 20, 31 ] , [ 34, 0, 0, 34 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A5 84 2 21 8 0 [ 1, 7, 14, 43 ] , [ 1, 23, 18, 23 ] , [ 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 ]
  56B5 84 2 42 6 0 [ 1, 7, 42, 15 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 15, 42, 0, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]
  56C5 84 2 42 6 0 [ 1, 7, 42, 15 ] , [ 1, 16, 32, 9 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 0, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]
  56D5 Γ0(56) 96 1 48 0 0 [ 1, 0, 28, 1 ] , [ 5, 36, 53, 1 ] , [ 25, 8, 40, 33 ] , [ 25, 16, 32, 25 ] , [ 29, 0, 14, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 32, 1 ] , [ 33, 8, 46, 1 ] , [ 43, 28, 7, 15 ]
^ Level 57 Name Index  con   len   c2   c3  > SL(2,Z/57Z) Matrix Generators
  57A5 60 1 20 0 0 [ 20, 0, 0, 20 ] , [ 20, 38, 38, 1 ] , [ 22, 39, 36, 25 ] , [ 28, 15, 54, 31 ] , [ 28, 39, 42, 28 ] , [ 34, 27, 33, 43 ] , [ 39, 19, 38, 39 ]
  57B5 60 2 20 0 0 [ 20, 0, 0, 20 ] , [ 20, 38, 38, 1 ] , [ 28, 15, 54, 31 ] , [ 28, 39, 42, 28 ] , [ 34, 27, 33, 43 ] , [ 39, 19, 38, 39 ] , [ 46, 29, 39, 37 ]
  57C5 Γ0(57) 80 1 80 0 2 [ 20, 0, 0, 20 ] , [ 22, 39, 36, 25 ] , [ 28, 15, 54, 31 ] , [ 28, 39, 42, 28 ] , [ 34, 17, 54, 22 ] , [ 34, 27, 33, 43 ]
^ Level 58 Name Index  con   len   c2   c3  > SL(2,Z/58Z) Matrix Generators
  58A5 60 1 30 0 0 [ 1, 29, 29, 30 ] , [ 25, 30, 30, 43 ] , [ 51, 0, 48, 33 ] , [ 51, 50, 16, 43 ] , [ 55, 16, 28, 5 ]
^ Level 59 Name Index  con   len   c2   c3  > SL(2,Z/59Z) Matrix Generators
  59A5 Γ0(59) 60 1 60 0 0 [ 0, 47, 5, 16 ] , [ 27, 43, 57, 34 ] , [ 58, 0, 0, 58 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A5 108 1 18 12 0 [ 1, 40, 40, 41 ] , [ 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 ]
  60B5 108 1 54 8 0 [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 41, 0, 0, 41 ] , [ 51, 55, 50, 21 ]
  60C5 144 1 24 24 0 [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 11 ] , [ 41, 0, 0, 41 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A5 Γ0(63) 96 1 32 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 25, 0, 22, 58 ] , [ 34, 0, 0, 13 ] , [ 37, 0, 27, 46 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 50, 0, 28, 29 ] , [ 55, 0, 35, 55 ]
  63B5 96 1 32 0 6 [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 42, 7, 43 ] , [ 8, 0, 0, 8 ] , [ 8, 42, 7, 29 ] , [ 34, 0, 0, 13 ] , [ 34, 21, 56, 55 ] , [ 37, 0, 27, 46 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ]
^ Level 64 Name Index  con   len   c2   c3  > SL(2,Z/64Z) Matrix Generators
  64A5 96 1 12 0 0 [ 1, 32, 32, 1 ] , [ 5, 36, 28, 61 ] , [ 9, 8, 56, 57 ] , [ 17, 16, 48, 49 ] , [ 17, 50, 46, 45 ] , [ 26, 61, 59, 8 ] , [ 27, 2, 46, 39 ] , [ 29, 26, 46, 17 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 35, 18, 46, 31 ] , [ 36, 63, 9, 62 ] , [ 53, 4, 28, 13 ] , [ 59, 50, 30, 7 ]
  64B5 96 1 12 0 0 [ 1, 32, 32, 1 ] , [ 5, 36, 28, 61 ] , [ 9, 8, 56, 57 ] , [ 17, 16, 48, 49 ] , [ 17, 50, 46, 45 ] , [ 26, 61, 59, 8 ] , [ 27, 2, 46, 39 ] , [ 29, 26, 14, 17 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 35, 18, 46, 31 ] , [ 38, 23, 41, 40 ] , [ 53, 4, 28, 13 ] , [ 59, 50, 30, 7 ]
  64C5 192 1 12 0 0 [ 1, 32, 32, 1 ] , [ 8, 47, 33, 58 ] , [ 15, 62, 34, 51 ] , [ 17, 16, 48, 49 ] , [ 19, 20, 44, 43 ] , [ 25, 8, 24, 41 ] , [ 29, 60, 4, 37 ] , [ 31, 46, 50, 35 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 45, 36, 12, 21 ] , [ 53, 52, 12, 13 ] , [ 57, 56, 8, 9 ]
  64D5 192 1 24 0 0 [ 1, 32, 32, 1 ] , [ 8, 47, 33, 58 ] , [ 12, 43, 21, 22 ] , [ 15, 62, 34, 51 ] , [ 17, 16, 48, 49 ] , [ 19, 20, 44, 43 ] , [ 25, 8, 24, 41 ] , [ 29, 60, 4, 37 ] , [ 31, 46, 50, 35 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 53, 52, 12, 13 ] , [ 57, 56, 8, 9 ]
^ Level 65 Name Index  con   len   c2   c3  > SL(2,Z/65Z) Matrix Generators
  65A5 Γ0(65) 84 1 84 4 0 [ 11, 45, 45, 1 ] , [ 14, 0, 0, 14 ] , [ 16, 5, 50, 36 ] , [ 16, 60, 45, 51 ] , [ 40, 26, 39, 27 ] , [ 51, 0, 0, 51 ] , [ 53, 39, 0, 27 ]
^ Level 67 Name Index  con   len   c2   c3  > SL(2,Z/67Z) Matrix Generators
  67A5 Γ0(67) 68 1 68 0 2 [ 18, 55, 23, 48 ] , [ 19, 44, 17, 50 ] , [ 45, 16, 14, 5 ] , [ 66, 0, 0, 66 ]
^ Level 68 Name Index  con   len   c2   c3  > SL(2,Z/68Z) Matrix Generators
  68A5 72 1 72 4 0 [ 1, 0, 28, 1 ] , [ 1, 34, 17, 35 ] , [ 2, 17, 23, 26 ] , [ 3, 34, 59, 57 ] , [ 13, 0, 44, 21 ] , [ 28, 51, 5, 65 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 51, 17, 52 ] , [ 43, 0, 4, 19 ]
^ Level 70 Name Index  con   len   c2   c3  > SL(2,Z/70Z) Matrix Generators
  70A5 70 2 35 0 4 [ 1, 35, 35, 36 ] , [ 11, 10, 0, 51 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 14, 57 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 41, 55, 65, 36 ] , [ 43, 0, 56, 57 ] , [ 43, 42, 0, 57 ]
  70B5 84 2 42 8 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, 10, 51 ] , [ 61, 30, 50, 51 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A5 108 2 27 16 0 [ 1, 18, 36, 1 ] , [ 1, 32, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 2, 8, 1 ] , [ 17, 56, 44, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 35, 65, 62, 37 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ]
  72B5 Γ0(72) 144 1 24 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 13, 56, 0, 61 ] , [ 25, 53, 0, 49 ] , [ 29, 50, 0, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 36, 0, 55 ]
^ Level 73 Name Index  con   len   c2   c3  > SL(2,Z/73Z) Matrix Generators
  73A5 Γ0(73) 74 1 74 2 2 [ 5, 67, 40, 69 ] , [ 10, 11, 24, 63 ] , [ 19, 40, 1, 6 ] , [ 41, 63, 45, 30 ] , [ 71, 30, 19, 43 ] , [ 72, 0, 0, 72 ]
^ Level 74 Name Index  con   len   c2   c3  > SL(2,Z/74Z) Matrix Generators
  74A5 76 1 38 0 4 [ 7, 16, 52, 45 ] , [ 29, 18, 40, 7 ] , [ 31, 40, 56, 15 ] , [ 38, 37, 37, 1 ] , [ 45, 42, 42, 31 ] , [ 73, 0, 0, 73 ]
^ Level 75 Name Index  con   len   c2   c3  > SL(2,Z/75Z) Matrix Generators
  75A5 Γ0(75) 120 1 120 0 0 [ 1, 0, 50, 1 ] , [ 16, 15, 0, 61 ] , [ 19, 30, 40, 4 ] , [ 22, 33, 48, 55 ] , [ 26, 0, 50, 26 ] , [ 31, 0, 30, 46 ] , [ 64, 66, 53, 16 ]
^ Level 78 Name Index  con   len   c2   c3  > SL(2,Z/78Z) Matrix Generators
  78A5 84 1 28 0 6 [ 1, 52, 52, 53 ] , [ 13, 42, 30, 67 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 40, 39, 13, 1 ] , [ 53, 0, 0, 53 ] , [ 55, 6, 72, 49 ] , [ 55, 18, 0, 61 ]
  78B5 84 1 42 8 0 [ 7, 6, 36, 31 ] , [ 17, 42, 42, 35 ] , [ 27, 52, 65, 27 ] , [ 40, 39, 39, 1 ] , [ 43, 68, 68, 35 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ] , [ 77, 0, 0, 77 ]
  78C5 84 2 14 0 6 [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 7, 6, 10, 31 ] , [ 13, 42, 30, 67 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 53, 0, 0, 53 ] , [ 55, 6, 72, 49 ]
^ Level 88 Name Index  con   len   c2   c3  > SL(2,Z/88Z) Matrix Generators
  88A5 88 2 44 6 4 [ 1, 44, 44, 1 ] , [ 1, 55, 11, 78 ] , [ 17, 70, 61, 39 ] , [ 27, 86, 79, 17 ] , [ 45, 44, 0, 45 ] , [ 65, 0, 0, 65 ] , [ 67, 0, 44, 67 ] , [ 67, 22, 55, 1 ]
  88B5 88 2 44 6 4 [ 1, 44, 44, 1 ] , [ 1, 55, 11, 78 ] , [ 17, 70, 17, 39 ] , [ 27, 86, 35, 17 ] , [ 45, 44, 0, 45 ] , [ 65, 0, 0, 65 ] , [ 67, 0, 44, 67 ] , [ 67, 22, 11, 1 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A5 108 2 54 16 0 [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 41, 55, 10, 31 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 81, 40, 20, 21 ] , [ 89, 30, 60, 89 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A5 144 1 36 28 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 ] , [ 57, 20, 94, 33 ] , [ 65, 0, 0, 65 ] , [ 83, 42, 63, 77 ] , [ 89, 20, 62, 1 ] , [ 95, 0, 0, 95 ]
^ Level 98 Name Index  con   len   c2   c3  > SL(2,Z/98Z) Matrix Generators
  98A5 112 1 56 0 4 [ 1, 49, 49, 50 ] , [ 15, 0, 14, 85 ] , [ 27, 88, 48, 73 ] , [ 51, 28, 62, 11 ] , [ 85, 28, 42, 15 ] , [ 97, 0, 0, 97 ]
^ Level 99 Name Index  con   len   c2   c3  > SL(2,Z/99Z) Matrix Generators
  99A5 99 2 99 15 0 [ 1, 11, 44, 89 ] , [ 34, 0, 66, 67 ] , [ 43, 17, 95, 56 ] , [ 56, 44, 11, 67 ] , [ 67, 33, 0, 34 ] , [ 79, 76, 73, 74 ] , [ 89, 66, 33, 89 ] , [ 98, 0, 0, 98 ]
^ Level 126 Name Index  con   len   c2   c3  > SL(2,Z/126Z) Matrix Generators
  126A5 126 2 63 24 0 [ 1, 63, 63, 64 ] , [ 43, 56, 119, 29 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 12, 1 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ]
  126B5 126 2 63 24 0 [ 1, 63, 63, 64 ] , [ 43, 56, 56, 29 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 12, 1 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA