[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 3

Groups of Level: 7 8 9 10 11 12 13 14 15 16 18 20 21 24 26 27 28 30 32 33 34 35 36 39 40 41 42 43 45 48 49 50 51 52 54 55 56 60 64 66 72 84 96
 
 
^ Level 7 Name Index  con   len   c2   c3  > SL(2,Z/7Z) Matrix Generators
  7A3 Γ(7) 168 1 1 0 0 [ 6, 0, 0, 6 ]
^ Level 8 Name Index  con   len   c2   c3  > SL(2,Z/8Z) Matrix Generators
  8A3 96 1 1 0 0 [ 3, 0, 0, 3 ] , [ 7, 0, 0, 7 ]
  8B3 96 1 3 0 0 [ 3, 4, 0, 3 ] , [ 5, 4, 0, 5 ] , [ 7, 0, 0, 7 ]
^ Level 9 Name Index  con   len   c2   c3  > SL(2,Z/9Z) Matrix Generators
  9A3 108 1 36 0 3 [ 1, 3, 2, 7 ] , [ 8, 0, 0, 8 ]
^ Level 10 Name Index  con   len   c2   c3  > SL(2,Z/10Z) Matrix Generators
  10A3 60 1 10 0 0 [ 7, 0, 4, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ]
  10B3 60 1 15 0 0 [ 6, 5, 5, 1 ] , [ 7, 4, 0, 3 ] , [ 9, 0, 0, 9 ]
  10C3 90 1 45 4 0 [ 3, 4, 0, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 2, 9, 1 ]
  10D3 120 1 20 0 6 [ 9, 0, 0, 9 ] , [ 9, 3, 3, 0 ]
^ Level 11 Name Index  con   len   c2   c3  > SL(2,Z/11Z) Matrix Generators
  11A3 110 2 55 6 2 [ 8, 2, 2, 2 ] , [ 8, 10, 10, 3 ] , [ 10, 0, 0, 10 ]
^ Level 12 Name Index  con   len   c2   c3  > SL(2,Z/12Z) Matrix Generators
  12A3 48 1 1 0 0 [ 1, 6, 6, 1 ] , [ 1, 9, 9, 10 ] , [ 5, 0, 6, 5 ] , [ 7, 0, 6, 7 ] , [ 10, 9, 9, 1 ] , [ 11, 0, 0, 11 ]
  12B3 48 1 4 0 0 [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ]
  12C3 48 1 12 0 0 [ 5, 0, 0, 5 ] , [ 5, 8, 8, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ]
  12D3 72 1 3 0 0 [ 1, 0, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 6, 7 ] , [ 7, 6, 3, 1 ] , [ 7, 6, 9, 1 ] , [ 11, 0, 0, 11 ]
  12E3 72 1 9 0 0 [ 2, 11, 5, 4 ] , [ 4, 1, 7, 2 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] , [ 8, 11, 5, 10 ] , [ 11, 6, 6, 11 ]
  12F3 72 1 9 0 0 [ 1, 4, 10, 5 ] , [ 1, 6, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 8, 2, 1 ] , [ 7, 6, 6, 7 ]
  12G3 72 1 9 0 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] , [ 9, 4, 8, 9 ] , [ 9, 8, 4, 9 ]
  12H3 72 1 18 4 0 [ 0, 11, 1, 0 ] , [ 1, 6, 6, 1 ] , [ 5, 0, 6, 5 ] , [ 7, 0, 6, 7 ] , [ 11, 0, 0, 11 ]
  12I3 72 1 18 4 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 2, 2, 11 ] , [ 10, 9, 3, 10 ]
  12J3 72 1 18 4 0 [ 4, 3, 9, 4 ] , [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 4, 9 ]
  12K3 96 1 4 0 0 [ 1, 0, 8, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 0, 8, 5 ] , [ 7, 0, 0, 7 ] , [ 11, 0, 8, 11 ]
  12L3 96 1 12 0 0 [ 1, 8, 10, 9 ] , [ 5, 4, 8, 9 ] , [ 7, 0, 6, 7 ] , [ 9, 4, 2, 1 ] , [ 9, 8, 4, 5 ]
  12M3 96 1 24 8 0 [ 1, 9, 9, 10 ] , [ 4, 5, 11, 8 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ]
  12N3 144 1 3 0 0 [ 1, 6, 0, 1 ] , [ 7, 0, 6, 7 ] , [ 7, 6, 6, 7 ] , [ 11, 0, 0, 11 ] , [ 11, 6, 0, 11 ]
  12O3 144 1 6 0 0 [ 1, 0, 3, 1 ] , [ 1, 0, 6, 1 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 6, 11 ]
  12P3 144 1 18 8 0 [ 2, 1, 7, 10 ] , [ 5, 6, 6, 5 ] , [ 8, 7, 1, 4 ] , [ 11, 0, 0, 11 ]
^ Level 13 Name Index  con   len   c2   c3  > SL(2,Z/13Z) Matrix Generators
  13A3 78 1 78 6 0 [ 6, 4, 6, 2 ] , [ 9, 6, 8, 4 ] , [ 12, 0, 0, 12 ]
  13B3 91 1 91 3 4 [ 5, 1, 0, 8 ] , [ 9, 9, 1, 4 ] , [ 12, 0, 0, 12 ] , [ 12, 12, 3, 2 ]
  13C3 91 1 91 7 1 [ 1, 1, 12, 0 ] , [ 3, 6, 7, 10 ] , [ 4, 2, 11, 9 ] , [ 12, 0, 0, 12 ]
^ Level 14 Name Index  con   len   c2   c3  > SL(2,Z/14Z) Matrix Generators
  14A3 42 1 21 0 0 [ 0, 5, 11, 7 ] , [ 1, 9, 11, 2 ] , [ 2, 13, 5, 5 ] , [ 8, 7, 7, 1 ] , [ 13, 7, 7, 6 ]
  14B3 42 2 7 0 0 [ 7, 10, 2, 13 ] , [ 7, 12, 4, 7 ] , [ 9, 6, 12, 5 ] , [ 9, 12, 10, 1 ] , [ 13, 0, 0, 13 ]
  14C3 56 1 28 0 2 [ 1, 7, 7, 8 ] , [ 1, 12, 8, 13 ] , [ 9, 2, 0, 11 ] , [ 13, 0, 0, 13 ]
  14D3 84 1 84 4 0 [ 1, 12, 1, 13 ] , [ 1, 12, 8, 13 ] , [ 9, 2, 0, 11 ] , [ 13, 0, 0, 13 ]
  14E3 84 2 14 0 6 [ 4, 5, 7, 9 ] , [ 5, 8, 2, 9 ] , [ 7, 12, 4, 7 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ]
  14F3 84 2 21 8 0 [ 5, 8, 2, 9 ] , [ 7, 9, 10, 7 ] , [ 8, 7, 7, 1 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ]
^ Level 15 Name Index  con   len   c2   c3  > SL(2,Z/15Z) Matrix Generators
  15A3 60 1 20 0 0 [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 6, 5, 10, 11 ] , [ 6, 10, 5, 1 ] , [ 13, 0, 6, 7 ]
  15B3 60 1 20 0 3 [ 6, 5, 10, 6 ] , [ 9, 10, 5, 9 ] , [ 10, 12, 2, 4 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ]
  15C3 60 1 30 4 0 [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 7, 0, 9, 13 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ]
  15D3 60 2 20 0 3 [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 5, 13, 8, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ]
  15E3 72 1 6 0 0 [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 0, 11 ]
  15F3 72 1 18 0 0 [ 4, 0, 0, 4 ] , [ 5, 12, 12, 2 ] , [ 13, 1, 1, 14 ] , [ 13, 6, 6, 4 ]
  15G3 80 1 40 0 2 [ 1, 0, 5, 1 ] , [ 4, 0, 10, 4 ] , [ 4, 3, 3, 10 ] , [ 11, 0, 10, 11 ]
  15H3 90 1 45 10 0 [ 2, 10, 7, 13 ] , [ 2, 11, 5, 13 ] , [ 4, 0, 0, 4 ] , [ 4, 12, 9, 1 ] , [ 11, 0, 0, 11 ]
  15I3 144 1 36 8 0 [ 4, 9, 9, 13 ] , [ 14, 0, 0, 14 ] , [ 14, 8, 11, 1 ]
^ Level 16 Name Index  con   len   c2   c3  > SL(2,Z/16Z) Matrix Generators
  16A3 48 1 3 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 8, 1 ] , [ 5, 8, 8, 13 ] , [ 7, 10, 4, 15 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 0, 9 ] , [ 13, 6, 4, 13 ]
  16B3 48 1 3 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 8, 1 ] , [ 3, 10, 4, 3 ] , [ 7, 10, 12, 15 ] , [ 9, 0, 0, 9 ] , [ 9, 6, 4, 1 ] , [ 9, 8, 0, 9 ]
  16C3 48 1 6 0 0 [ 5, 12, 12, 13 ] , [ 7, 12, 12, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 12, 9, 7, 12 ] , [ 15, 0, 0, 15 ]
  16D3 48 1 6 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 8, 1 ] , [ 5, 8, 0, 13 ] , [ 7, 10, 12, 15 ] , [ 9, 0, 0, 9 ] , [ 9, 6, 4, 1 ] , [ 9, 8, 0, 9 ]
  16E3 48 1 12 0 0 [ 1, 8, 8, 1 ] , [ 5, 0, 8, 13 ] , [ 5, 12, 12, 13 ] , [ 8, 11, 13, 4 ] , [ 9, 8, 8, 9 ] , [ 15, 4, 12, 15 ]
  16F3 48 1 12 0 0 [ 1, 8, 8, 1 ] , [ 2, 11, 1, 6 ] , [ 9, 8, 8, 9 ] , [ 11, 6, 6, 15 ] , [ 11, 14, 14, 15 ] , [ 13, 12, 12, 5 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 2, 11 ]
  16G3 48 2 24 2 0 [ 0, 11, 13, 0 ] , [ 1, 8, 8, 1 ] , [ 3, 0, 12, 11 ] , [ 9, 0, 8, 9 ] , [ 9, 4, 4, 9 ] , [ 15, 4, 12, 15 ]
  16H3 96 1 3 0 0 [ 1, 8, 8, 1 ] , [ 7, 4, 4, 7 ] , [ 9, 8, 8, 9 ] , [ 9, 12, 12, 9 ] , [ 11, 12, 4, 3 ] , [ 13, 12, 4, 5 ] , [ 15, 0, 0, 15 ]
  16I3 96 1 3 0 0 [ 7, 12, 4, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 13, 0, 0, 5 ] , [ 15, 4, 12, 15 ] , [ 15, 8, 8, 15 ]
  16J3 96 1 6 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 9, 12, 0, 9 ] , [ 13, 2, 0, 5 ] , [ 13, 10, 0, 5 ] , [ 15, 4, 0, 15 ]
  16K3 96 1 12 8 0 [ 1, 8, 8, 1 ] , [ 1, 12, 12, 1 ] , [ 9, 8, 8, 9 ] , [ 9, 12, 12, 9 ] , [ 12, 5, 3, 4 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ]
  16L3 96 1 12 8 0 [ 0, 11, 13, 0 ] , [ 1, 8, 8, 1 ] , [ 3, 0, 0, 11 ] , [ 8, 11, 13, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 8, 8, 15 ]
  16M3 96 1 12 8 0 [ 1, 8, 8, 1 ] , [ 5, 4, 4, 13 ] , [ 7, 8, 8, 7 ] , [ 8, 7, 9, 8 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 4, 5 ] , [ 15, 8, 8, 15 ]
  16N3 96 1 24 0 0 [ 5, 4, 12, 13 ] , [ 6, 15, 1, 0 ] , [ 7, 8, 8, 7 ] , [ 9, 8, 8, 9 ] , [ 11, 2, 14, 7 ]
  16O3 96 1 24 0 0 [ 1, 4, 8, 1 ] , [ 1, 8, 0, 1 ] , [ 3, 6, 4, 3 ] , [ 7, 0, 8, 7 ] , [ 9, 4, 0, 9 ] , [ 11, 10, 4, 11 ] , [ 11, 14, 12, 11 ]
  16P3 96 1 24 4 0 [ 0, 5, 3, 8 ] , [ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 9, 4, 12, 9 ] , [ 9, 12, 12, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 0, 15 ]
  16Q3 96 1 24 4 0 [ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 1, 12, 4, 1 ] , [ 4, 13, 11, 12 ] , [ 12, 13, 11, 12 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ]
  16R3 96 1 24 8 0 [ 0, 3, 5, 0 ] , [ 1, 6, 6, 5 ] , [ 5, 4, 4, 13 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ]
  16S3 96 1 24 8 0 [ 5, 4, 4, 13 ] , [ 9, 6, 6, 13 ] , [ 9, 8, 8, 9 ] , [ 14, 3, 9, 2 ] , [ 15, 0, 0, 15 ]
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A3 36 1 3 0 0 [ 7, 0, 0, 13 ] , [ 9, 10, 8, 9 ] , [ 10, 9, 9, 1 ] , [ 11, 6, 6, 5 ] , [ 13, 6, 6, 7 ]
  18B3 36 1 6 0 0 [ 1, 12, 6, 1 ] , [ 7, 9, 15, 4 ] , [ 7, 12, 0, 13 ] , [ 17, 6, 12, 17 ] , [ 17, 16, 10, 1 ]
  18C3 36 2 9 0 0 [ 1, 8, 8, 11 ] , [ 7, 0, 0, 13 ] , [ 10, 9, 9, 1 ] , [ 11, 6, 6, 5 ] , [ 13, 6, 6, 7 ]
  18D3 54 1 27 4 0 [ 5, 0, 12, 11 ] , [ 7, 0, 12, 13 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 15, 10, 17, 15 ]
  18E3 54 2 27 2 0 [ 5, 0, 12, 11 ] , [ 7, 0, 12, 13 ] , [ 7, 12, 0, 13 ] , [ 15, 10, 17, 15 ] , [ 15, 14, 16, 9 ]
  18F3 72 1 6 0 0 [ 10, 9, 9, 1 ] , [ 13, 0, 0, 7 ] , [ 13, 12, 6, 7 ] , [ 17, 0, 0, 17 ]
  18G3 72 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 9, 9, 10 ] , [ 7, 0, 2, 13 ] , [ 17, 0, 0, 17 ]
  18H3 72 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 15, 15, 10 ] , [ 7, 9, 15, 4 ] , [ 17, 0, 0, 17 ]
  18I3 72 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 9, 13, 10 ] , [ 7, 9, 17, 4 ] , [ 17, 0, 0, 17 ]
  18J3 81 1 81 7 0 [ 11, 10, 4, 7 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 2, 4, 3 ] , [ 15, 4, 11, 3 ]
  18K3 108 1 54 4 0 [ 1, 12, 0, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 2, 17, 1 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A3 48 1 6 0 0 [ 6, 5, 5, 1 ] , [ 9, 4, 4, 13 ] , [ 11, 0, 10, 11 ] , [ 11, 6, 6, 7 ] , [ 11, 10, 0, 11 ]
  20B3 48 1 24 0 0 [ 1, 10, 5, 11 ] , [ 11, 0, 0, 11 ] , [ 13, 16, 16, 9 ] , [ 16, 5, 15, 11 ] , [ 19, 0, 0, 19 ]
  20C3 48 1 24 0 0 [ 9, 16, 8, 1 ] , [ 11, 0, 0, 11 ] , [ 13, 16, 16, 9 ] , [ 16, 5, 15, 11 ] , [ 19, 0, 0, 19 ]
  20D3 60 1 20 6 0 [ 6, 15, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ] , [ 16, 15, 5, 16 ] , [ 17, 16, 0, 13 ]
  20E3 60 1 30 0 0 [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 5, 11 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 4, 13 ]
  20F3 60 1 30 4 0 [ 1, 0, 10, 1 ] , [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 4, 13 ]
  20G3 72 1 18 0 0 [ 1, 0, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 2, 17, 15 ]
  20H3 72 1 18 0 0 [ 1, 0, 10, 1 ] , [ 1, 4, 17, 9 ] , [ 3, 16, 6, 19 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ]
  20I3 72 1 18 0 0 [ 1, 0, 10, 1 ] , [ 5, 6, 4, 5 ] , [ 13, 12, 12, 5 ] , [ 17, 8, 8, 5 ] , [ 19, 4, 14, 3 ]
  20J3 72 1 18 0 0 [ 1, 0, 10, 1 ] , [ 1, 4, 12, 9 ] , [ 3, 16, 6, 19 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ]
  20K3 72 1 36 4 0 [ 1, 12, 14, 9 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 2, 7, 15 ]
  20L3 72 1 36 4 0 [ 1, 10, 5, 11 ] , [ 11, 0, 0, 11 ] , [ 13, 16, 16, 9 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ]
  20M3 72 2 18 4 0 [ 1, 4, 17, 9 ] , [ 1, 14, 7, 19 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 16, 9 ] , [ 15, 12, 2, 7 ] , [ 19, 0, 0, 19 ]
  20N3 80 1 10 0 8 [ 1, 10, 10, 1 ] , [ 1, 15, 15, 6 ] , [ 9, 0, 10, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ]
  20O3 80 1 40 8 2 [ 1, 15, 15, 6 ] , [ 3, 10, 11, 17 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ]
  20P3 90 1 45 4 0 [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 3, 14, 5, 17 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 19, 2, 9, 1 ]
  20Q3 96 2 24 8 0 [ 5, 12, 12, 17 ] , [ 16, 5, 15, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ]
  20R3 144 1 18 0 0 [ 1, 10, 0, 1 ] , [ 9, 0, 10, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 16, 9 ]
  20S3 Γ1(20) 144 1 36 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 7, 4, 9, 11 ] , [ 13, 16, 16, 9 ]
  20T3 144 1 36 8 0 [ 1, 0, 10, 1 ] , [ 11, 2, 9, 9 ] , [ 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
  21A3 48 1 24 0 0 [ 1, 0, 18, 1 ] , [ 8, 0, 0, 8 ] , [ 8, 0, 3, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 16, 0, 0, 4 ]
  21B3 56 2 28 0 2 [ 1, 7, 14, 15 ] , [ 4, 6, 3, 10 ] , [ 6, 7, 14, 20 ] , [ 7, 18, 12, 7 ] , [ 8, 14, 7, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 6, 15, 7 ] , [ 15, 14, 7, 1 ]
  21C3 84 1 28 12 0 [ 1, 14, 14, 8 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 10, 18, 15, 4 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] , [ 15, 7, 14, 15 ]
  21D3 96 1 32 0 0 [ 1, 0, 7, 1 ] , [ 1, 0, 9, 1 ] , [ 8, 0, 0, 8 ] , [ 8, 0, 7, 8 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ]
^ Level 24 Name Index  con   len   c2   c3  > SL(2,Z/24Z) Matrix Generators
  24A3 36 1 3 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 20, 17 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 21, 1 ]
  24B3 48 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 6, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 6, 13 ] , [ 17, 12, 18, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 4, 18, 19 ] , [ 19, 6, 21, 13 ]
  24C3 48 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 4, 6, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 6, 13 ] , [ 17, 12, 18, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 4, 18, 19 ] , [ 19, 6, 15, 1 ]
  24D3 48 2 12 4 0 [ 1, 8, 20, 17 ] , [ 1, 9, 21, 22 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 16, 15, 9, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 1 ] , [ 19, 0, 12, 19 ] , [ 19, 12, 0, 19 ]
  24E3 48 2 12 4 0 [ 1, 8, 8, 17 ] , [ 1, 9, 21, 22 ] , [ 1, 12, 12, 1 ] , [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 16, 15, 9, 4 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] , [ 19, 12, 0, 19 ]
  24F3 64 1 16 0 4 [ 1, 16, 0, 1 ] , [ 1, 21, 9, 22 ] , [ 5, 16, 0, 5 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 19, 12, 12, 19 ]
  24G3 64 1 16 0 4 [ 1, 16, 0, 1 ] , [ 1, 21, 9, 22 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 13, 20, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ]
  24H3 72 1 9 8 0 [ 1, 0, 12, 1 ] , [ 7, 4, 16, 23 ] , [ 7, 12, 6, 7 ] , [ 7, 22, 1, 17 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 18, 9, 5 ]
  24I3 72 1 9 8 0 [ 1, 0, 12, 1 ] , [ 1, 16, 4, 17 ] , [ 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, 18, 3, 17 ]
  24J3 72 1 12 6 0 [ 1, 0, 12, 1 ] , [ 1, 8, 20, 17 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 20, 20, 23 ] , [ 15, 20, 4, 15 ] , [ 16, 17, 23, 8 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ]
  24K3 72 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 0, 18, 7 ] , [ 11, 20, 14, 19 ] , [ 11, 20, 17, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 4, 10, 5 ] , [ 17, 0, 12, 17 ] , [ 23, 20, 11, 19 ]
  24L3 72 1 18 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 5, 8, 20, 13 ] , [ 7, 0, 18, 7 ] , [ 7, 16, 13, 23 ] , [ 7, 16, 22, 23 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 12, 17 ] , [ 17, 8, 2, 1 ] , [ 17, 8, 17, 1 ]
  24M3 72 1 18 4 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 10, 4, 17 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 9, 17 ] , [ 17, 12, 18, 17 ] , [ 19, 12, 18, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 2, 23, 1 ]
  24N3 72 1 18 4 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 4, 16, 23 ] , [ 7, 22, 1, 17 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 18, 9, 5 ]
  24O3 72 1 18 4 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 6, 15, 19 ] , [ 1, 16, 4, 17 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 18, 9, 5 ]
  24P3 72 1 18 8 0 [ 0, 5, 19, 0 ] , [ 1, 12, 12, 1 ] , [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 20, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 4, 21 ] , [ 23, 0, 0, 23 ]
  24Q3 72 1 18 8 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 ] , [ 13, 14, 5, 11 ] , [ 17, 0, 0, 17 ] , [ 19, 8, 2, 11 ] , [ 23, 0, 0, 23 ]
  24R3 72 1 36 6 0 [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 3, 20, 4, 3 ] , [ 4, 3, 21, 4 ] , [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 8, 4, 21 ] , [ 23, 0, 0, 23 ]
  24S3 72 2 9 8 0 [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 9, 8, 10, 9 ] , [ 9, 8, 22, 9 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 2, 23, 1 ]
  24T3 72 2 18 8 0 [ 1, 0, 12, 1 ] , [ 1, 6, 3, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 18, 9, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 14, 5, 11 ] , [ 17, 0, 0, 17 ] , [ 19, 4, 22, 11 ] , [ 19, 8, 2, 11 ] , [ 23, 0, 0, 23 ]
  24U3 96 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 20, 12, 5 ] , [ 7, 12, 6, 7 ] , [ 19, 12, 6, 19 ]
  24V3 96 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 16, 6, 5 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 6, 13 ] , [ 19, 0, 12, 19 ] , [ 19, 8, 6, 19 ] , [ 19, 8, 18, 19 ]
  24W3 96 1 24 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 11, 0, 6, 11 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 9, 17 ] , [ 19, 0, 21, 19 ]
  24X3 96 1 48 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 0, 6, 5 ] , [ 13, 0, 15, 13 ] , [ 17, 0, 9, 17 ] , [ 19, 0, 18, 19 ]
  24Y3 96 1 48 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 9, 17 ] , [ 23, 0, 3, 23 ]
  24Z3 96 1 48 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 8, 0, 5 ] , [ 11, 20, 6, 11 ] , [ 13, 4, 12, 13 ] , [ 13, 12, 12, 13 ] , [ 13, 12, 18, 13 ]
  24AA3 96 1 48 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 18, 7 ] , [ 17, 8, 0, 17 ]
  24AB3 96 1 48 16 0 [ 4, 1, 7, 20 ] , [ 4, 19, 13, 20 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ]
  24AC3 144 1 3 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 5, 12, 3, 17 ] , [ 5, 12, 9, 17 ] , [ 7, 12, 9, 19 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A3 84 1 28 0 6 [ 3, 6, 20, 23 ] , [ 13, 16, 4, 15 ] , [ 22, 21, 13, 3 ] , [ 25, 0, 0, 25 ]
^ Level 27 Name Index  con   len   c2   c3  > SL(2,Z/27Z) Matrix Generators
  27A3 36 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 18, 6, 1 ] , [ 10, 0, 9, 19 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 0, 10 ] , [ 25, 24, 4, 19 ] , [ 26, 0, 0, 26 ]
  27B3 81 2 81 13 0 [ 0, 1, 26, 0 ] , [ 1, 25, 1, 26 ] , [ 5, 3, 3, 2 ] , [ 7, 21, 21, 13 ] , [ 19, 9, 9, 10 ] , [ 19, 18, 0, 10 ]
  27C3 108 1 36 0 3 [ 1, 0, 15, 1 ] , [ 1, 0, 18, 1 ] , [ 19, 0, 0, 10 ] , [ 19, 0, 9, 10 ] , [ 25, 6, 25, 19 ] , [ 26, 0, 0, 26 ]
^ Level 28 Name Index  con   len   c2   c3  > SL(2,Z/28Z) Matrix Generators
  28A3 42 2 21 0 0 [ 1, 7, 0, 1 ] , [ 1, 14, 0, 1 ] , [ 9, 12, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ]
  28B3 42 2 21 2 0 [ 1, 7, 14, 15 ] , [ 1, 14, 0, 1 ] , [ 9, 19, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ]
  28C3 48 1 24 0 0 [ 1, 0, 14, 1 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 14, 15 ] , [ 15, 14, 21, 1 ] , [ 17, 0, 20, 5 ] , [ 17, 24, 8, 13 ] , [ 25, 8, 12, 5 ]
  28D3 56 2 28 4 2 [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ] , [ 22, 21, 21, 1 ]
  28E3 64 1 32 0 4 [ 1, 7, 7, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 13 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A3 30 1 5 0 0 [ 1, 15, 15, 16 ] , [ 7, 21, 15, 28 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 6, 12, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 22, 15, 27, 13 ]
  30B3 36 1 6 0 0 [ 1, 10, 10, 11 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 21, 10, 20, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ]
  30C3 36 1 12 0 0 [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 6, 6, 19 ] , [ 13, 18, 0, 7 ] , [ 16, 15, 25, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]
  30D3 45 1 15 3 0 [ 1, 0, 15, 1 ] , [ 7, 0, 12, 13 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 6, 12, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]
  30E3 45 2 15 3 0 [ 1, 0, 15, 1 ] , [ 1, 18, 6, 19 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 24, 16, 25 ] , [ 21, 20, 10, 21 ]
  30F3 48 1 24 0 0 [ 1, 0, 20, 1 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 20, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 10, 19 ] , [ 19, 6, 23, 1 ]
  30G3 48 1 24 0 0 [ 1, 0, 20, 1 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 20, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 10, 19 ] , [ 19, 6, 8, 1 ]
  30H3 60 1 30 8 0 [ 1, 15, 15, 16 ] , [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 25, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ]
  30I3 72 1 18 8 0 [ 1, 12, 24, 19 ] , [ 5, 12, 12, 17 ] , [ 13, 6, 6, 19 ] , [ 13, 16, 1, 29 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ]
  30J3 72 1 18 8 0 [ 1, 12, 9, 19 ] , [ 5, 12, 12, 17 ] , [ 13, 6, 6, 19 ] , [ 13, 16, 16, 29 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ]
  30K3 Γ0(30) 72 1 72 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 20, 1 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 10, 19 ] , [ 19, 6, 8, 1 ]
  30L3 72 2 18 8 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 6, 19 ] , [ 13, 10, 13, 17 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 5, 21 ]
^ Level 32 Name Index  con   len   c2   c3  > SL(2,Z/32Z) Matrix Generators
  32A3 48 1 6 0 0 [ 1, 16, 16, 1 ] , [ 5, 28, 20, 29 ] , [ 9, 22, 18, 5 ] , [ 11, 2, 30, 23 ] , [ 13, 22, 10, 17 ] , [ 17, 4, 4, 1 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 25, 24, 8, 9 ] , [ 27, 30, 26, 23 ] , [ 28, 23, 17, 14 ] , [ 29, 8, 16, 21 ]
  32B3 48 1 6 0 0 [ 1, 16, 16, 1 ] , [ 5, 28, 20, 29 ] , [ 9, 22, 18, 5 ] , [ 11, 2, 30, 23 ] , [ 13, 22, 10, 17 ] , [ 17, 4, 4, 1 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 25, 24, 8, 9 ] , [ 27, 30, 26, 23 ] , [ 29, 8, 16, 21 ] , [ 30, 5, 27, 28 ]
  32C3 48 1 12 0 0 [ 1, 16, 16, 1 ] , [ 5, 28, 20, 29 ] , [ 9, 22, 2, 5 ] , [ 11, 2, 30, 23 ] , [ 13, 22, 10, 17 ] , [ 17, 4, 20, 1 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 25, 24, 8, 9 ] , [ 27, 30, 10, 23 ] , [ 29, 8, 0, 21 ] , [ 30, 5, 27, 28 ]
  32D3 48 1 12 4 0 [ 0, 5, 19, 0 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 9, 6, 6, 29 ] , [ 9, 8, 8, 25 ] , [ 13, 6, 6, 25 ] , [ 13, 18, 18, 25 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 0, 0, 31 ]
  32E3 48 1 24 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 11, 6, 6, 15 ] , [ 11, 14, 30, 15 ] , [ 12, 9, 23, 4 ] , [ 15, 2, 18, 11 ] , [ 17, 16, 16, 17 ] , [ 25, 24, 24, 9 ] , [ 27, 18, 10, 15 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
  32F3 48 1 24 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 9, 4, 12, 9 ] , [ 11, 6, 6, 15 ] , [ 11, 14, 30, 15 ] , [ 12, 9, 23, 4 ] , [ 15, 2, 18, 11 ] , [ 17, 16, 16, 17 ] , [ 25, 24, 24, 9 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
  32G3 48 1 24 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 11, 6, 22, 15 ] , [ 11, 14, 14, 15 ] , [ 15, 2, 2, 11 ] , [ 15, 30, 22, 27 ] , [ 17, 16, 16, 17 ] , [ 24, 5, 19, 24 ] , [ 25, 24, 24, 9 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
  32H3 48 1 24 4 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 9, 4, 12, 9 ] , [ 11, 6, 22, 15 ] , [ 11, 14, 14, 15 ] , [ 15, 2, 2, 11 ] , [ 17, 16, 16, 17 ] , [ 24, 5, 19, 24 ] , [ 25, 24, 24, 9 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
  32I3 48 2 24 2 0 [ 1, 16, 16, 1 ] , [ 9, 16, 16, 25 ] , [ 9, 24, 8, 25 ] , [ 10, 25, 27, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 30, 10, 31 ] , [ 21, 0, 0, 29 ] , [ 21, 28, 20, 13 ] , [ 24, 29, 11, 16 ] , [ 25, 0, 0, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ]
  32J3 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 5, 16, 16, 13 ] , [ 9, 12, 16, 25 ] , [ 13, 30, 8, 21 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 17 ] , [ 17, 24, 0, 17 ] , [ 25, 0, 0, 9 ] , [ 25, 24, 0, 9 ] , [ 25, 28, 16, 9 ] , [ 31, 2, 8, 15 ]
  32K3 96 1 6 0 0 [ 1, 16, 0, 1 ] , [ 5, 16, 0, 13 ] , [ 13, 30, 8, 21 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 16, 17 ] , [ 17, 24, 0, 17 ] , [ 19, 26, 24, 11 ] , [ 21, 12, 16, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 24, 0, 9 ] , [ 25, 28, 16, 9 ]
  32L3 96 1 6 16 0 [ 1, 16, 16, 1 ] , [ 4, 1, 15, 28 ] , [ 13, 0, 0, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 12, 12, 1 ] , [ 25, 0, 0, 9 ] , [ 29, 4, 4, 5 ] , [ 31, 0, 0, 31 ]
  32M3 96 1 12 0 0 [ 5, 12, 4, 29 ] , [ 5, 30, 18, 25 ] , [ 8, 25, 7, 6 ] , [ 9, 8, 24, 25 ] , [ 11, 26, 6, 23 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 20, 12, 13 ] , [ 21, 28, 20, 13 ] , [ 28, 29, 3, 18 ] , [ 30, 13, 19, 20 ]
  32N3 96 1 12 16 0 [ 9, 6, 22, 29 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 16, 25 ] , [ 14, 27, 1, 18 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ]
  32O3 96 1 24 0 0 [ 1, 16, 16, 1 ] , [ 7, 8, 24, 23 ] , [ 9, 8, 24, 25 ] , [ 11, 2, 30, 23 ] , [ 11, 4, 28, 19 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 28, 13 ] , [ 27, 2, 30, 7 ] , [ 30, 13, 3, 12 ]
  32P3 96 1 24 4 0 [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 4, 28, 11 ] , [ 23, 12, 20, 23 ] , [ 25, 8, 24, 9 ] , [ 25, 16, 16, 9 ] , [ 28, 27, 29, 4 ] , [ 31, 8, 24, 31 ] , [ 31, 20, 12, 15 ]
  32Q3 96 1 24 4 0 [ 13, 0, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 20, 3, 5, 12 ] , [ 23, 12, 4, 23 ] , [ 25, 8, 24, 9 ] , [ 25, 16, 16, 9 ] , [ 31, 8, 24, 31 ] , [ 31, 20, 28, 15 ]
^ Level 33 Name Index  con   len   c2   c3  > SL(2,Z/33Z) Matrix Generators
  33A3 36 1 12 0 0 [ 1, 22, 22, 23 ] , [ 4, 24, 12, 31 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 22, 1 ] , [ 25, 6, 9, 22 ] , [ 32, 0, 0, 32 ]
  33B3 44 2 44 0 2 [ 1, 0, 22, 1 ] , [ 1, 15, 24, 31 ] , [ 23, 0, 0, 23 ] , [ 32, 0, 0, 32 ] , [ 32, 6, 18, 23 ]
  33C3 Γ0(33) 48 1 48 0 0 [ 1, 0, 22, 1 ] , [ 4, 24, 12, 31 ] , [ 23, 0, 0, 23 ] , [ 25, 6, 9, 22 ] , [ 32, 0, 0, 32 ]
^ Level 34 Name Index  con   len   c2   c3  > SL(2,Z/34Z) Matrix Generators
  34A3 36 1 18 0 0 [ 1, 0, 8, 1 ] , [ 1, 17, 17, 18 ] , [ 15, 0, 8, 25 ] , [ 21, 0, 14, 13 ] , [ 27, 0, 5, 29 ] , [ 33, 0, 0, 33 ]
  34B3 36 1 18 0 0 [ 1, 0, 8, 1 ] , [ 1, 17, 17, 18 ] , [ 15, 0, 8, 25 ] , [ 21, 0, 14, 13 ] , [ 27, 0, 22, 29 ] , [ 33, 0, 0, 33 ]
  34C3 Γ0(34) 54 1 54 2 0 [ 1, 0, 8, 1 ] , [ 1, 0, 17, 1 ] , [ 15, 0, 8, 25 ] , [ 21, 0, 14, 13 ] , [ 27, 0, 22, 29 ] , [ 33, 0, 0, 33 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A3 Γ0(35) 48 1 48 0 0 [ 1, 0, 25, 1 ] , [ 6, 0, 0, 6 ] , [ 6, 28, 6, 34 ] , [ 15, 14, 11, 22 ] , [ 16, 0, 0, 11 ] , [ 29, 0, 0, 29 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A3 48 1 4 0 0 [ 1, 0, 12, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 27, 19, 34 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 31, 0, 34, 7 ] , [ 35, 0, 0, 35 ]
  36B3 48 1 16 0 0 [ 1, 0, 20, 1 ] , [ 10, 9, 27, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
  36C3 48 1 16 0 3 [ 10, 9, 27, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 0, 24, 13 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ]
  36D3 54 1 27 4 0 [ 1, 0, 18, 1 ] , [ 15, 14, 16, 27 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 28, 4, 25 ] , [ 33, 10, 17, 15 ]
  36E3 54 1 27 6 0 [ 1, 0, 18, 1 ] , [ 11, 8, 35, 19 ] , [ 15, 14, 16, 27 ] , [ 15, 28, 35, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ]
  36F3 72 1 6 12 0 [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 9, 10, 35, 27 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]
  36G3 72 1 12 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 20, 13 ] , [ 35, 0, 0, 35 ]
  36H3 72 1 12 12 0 [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ]
  36I3 108 1 54 4 0 [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 12, 13 ] , [ 25, 24, 3, 13 ] , [ 29, 24, 24, 5 ] , [ 35, 34, 4, 7 ]
  36J3 144 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 4, 25 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
  36K3 144 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 25, 0, 8, 13 ] , [ 35, 0, 0, 35 ]
^ Level 39 Name Index  con   len   c2   c3  > SL(2,Z/39Z) Matrix Generators
  39A3 Γ0(39) 56 1 56 0 2 [ 1, 0, 13, 1 ] , [ 4, 0, 24, 10 ] , [ 13, 3, 30, 28 ] , [ 14, 0, 0, 14 ] , [ 31, 33, 3, 7 ] , [ 37, 27, 3, 37 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A3 48 2 24 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 28, 1 ] , [ 12, 17, 15, 8 ] , [ 21, 0, 20, 21 ] , [ 21, 15, 15, 26 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ]
  40B3 48 2 24 4 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 8 ] , [ 21, 0, 20, 21 ] , [ 21, 15, 15, 26 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ]
  40C3 72 1 18 8 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ] , [ 39, 38, 26, 11 ]
  40D3 72 1 18 8 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 16, 5, 35, 16 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ]
  40E3 72 1 36 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 7, 9, 24 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ]
  40F3 Γ0(40) 72 1 36 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 1, 32, 24, 9 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ]
  40G3 72 1 36 4 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 6 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ]
  40H3 72 1 36 4 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ]
  40I3 72 2 18 4 0 [ 1, 20, 20, 1 ] , [ 1, 32, 34, 9 ] , [ 6, 15, 25, 16 ] , [ 9, 0, 20, 9 ] , [ 11, 10, 30, 31 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 21, 30, 30, 1 ]
  40J3 144 1 18 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 11, 10, 30, 31 ] , [ 16, 15, 25, 26 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 38, 7, 17, 0 ]
^ Level 41 Name Index  con   len   c2   c3  > SL(2,Z/41Z) Matrix Generators
  41A3 Γ0(41) 42 1 42 2 0 [ 3, 3, 26, 40 ] , [ 19, 15, 36, 22 ] , [ 30, 25, 19, 35 ] , [ 30, 39, 28, 5 ] , [ 40, 0, 0, 40 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A3 42 2 14 0 3 [ 1, 14, 14, 29 ] , [ 1, 30, 18, 37 ] , [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 15, 28, 14, 15 ] , [ 22, 21, 7, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
  42B3 48 2 16 0 3 [ 13, 0, 0, 13 ] , [ 13, 6, 8, 7 ] , [ 15, 14, 28, 15 ] , [ 20, 27, 15, 35 ] , [ 25, 8, 26, 5 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 31, 24, 36, 13 ]
  42C3 63 2 21 9 0 [ 1, 0, 21, 1 ] , [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 19 ] , [ 15, 14, 28, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 37, 6, 12, 19 ]
  42D3 64 1 32 0 4 [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 1, 30, 30, 19 ] , [ 13, 0, 21, 13 ] , [ 13, 18, 6, 31 ] , [ 37, 12, 18, 7 ] , [ 41, 0, 0, 41 ]
  42E3 64 1 32 0 4 [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 1, 30, 30, 19 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 18, 7 ]
  42F3 84 2 21 16 0 [ 1, 21, 21, 22 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 17, 20, 17, 25 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 33, 2, 25, 27 ] , [ 37, 30, 0, 25 ]
^ Level 43 Name Index  con   len   c2   c3  > SL(2,Z/43Z) Matrix Generators
  43A3 Γ0(43) 44 1 44 0 2 [ 8, 19, 11, 37 ] , [ 24, 21, 24, 30 ] , [ 41, 32, 12, 1 ] , [ 42, 0, 0, 42 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A3 45 1 45 5 0 [ 1, 30, 15, 1 ] , [ 16, 0, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 27, 9, 1 ] , [ 22, 18, 21, 7 ] , [ 26, 20, 35, 1 ] , [ 36, 5, 25, 6 ] , [ 37, 36, 0, 28 ] , [ 41, 30, 30, 11 ]
  45B3 60 1 20 0 6 [ 1, 27, 9, 19 ] , [ 1, 35, 30, 16 ] , [ 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, 5, 30, 41 ]
  45C3 60 2 20 0 3 [ 1, 27, 9, 19 ] , [ 1, 40, 0, 1 ] , [ 10, 9, 21, 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 ]
  45D3 Γ0(45) 72 1 24 0 0 [ 8, 24, 24, 44 ] , [ 18, 14, 34, 29 ] , [ 31, 0, 30, 16 ] , [ 31, 30, 15, 16 ] , [ 32, 3, 0, 38 ] , [ 34, 30, 0, 4 ] , [ 37, 27, 27, 10 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A3 48 2 8 6 0 [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 45, 45, 34 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 37, 12, 24, 13 ] , [ 47, 0, 0, 47 ]
  48B3 48 2 24 6 0 [ 0, 1, 47, 24 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 45, 45, 34 ] , [ 17, 0, 0, 17 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 32, 17, 47, 16 ] , [ 37, 12, 24, 13 ] , [ 47, 0, 0, 47 ]
  48C3 72 1 6 12 0 [ 1, 0, 24, 1 ] , [ 13, 20, 38, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 20, 2, 17 ] , [ 33, 32, 16, 33 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ]
  48D3 72 1 12 6 0 [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 3, 46, 23, 33 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 16, 34, 1 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ]
  48E3 72 1 12 12 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 20, 2, 17 ] , [ 33, 32, 16, 33 ] , [ 37, 0, 0, 13 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ]
  48F3 72 1 18 12 0 [ 1, 0, 24, 1 ] , [ 9, 20, 46, 33 ] , [ 13, 20, 38, 29 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 46, 17 ] , [ 25, 20, 2, 17 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ]
  48G3 72 1 36 6 0 [ 1, 0, 24, 1 ] , [ 3, 46, 23, 33 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 19, 22, 7, 41 ] , [ 19, 38, 23, 41 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 35, 38, 29, 37 ]
  48H3 72 1 36 12 0 [ 1, 0, 24, 1 ] , [ 9, 20, 46, 33 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 46, 17 ] , [ 25, 20, 2, 17 ] , [ 37, 0, 0, 13 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ]
  48I3 96 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 10, 9, 39, 40 ] , [ 16, 3, 21, 34 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 16 ] , [ 25, 0, 0, 25 ] , [ 26, 9, 39, 32 ] , [ 37, 36, 12, 13 ]
  48J3 Γ0(48) 96 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 13, 6, 42, 1 ] , [ 16, 45, 27, 46 ] , [ 17, 0, 0, 17 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ]
  48K3 96 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 10, 9, 39, 16 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 32 ] , [ 43, 30, 18, 7 ]
  48L3 96 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 13, 6, 42, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 42, 6, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 37, 36, 12, 13 ] , [ 43, 30, 18, 7 ]
  48M3 144 1 9 32 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 28, 26, 9 ] , [ 33, 32, 16, 33 ] , [ 41, 24, 12, 41 ] , [ 45, 28, 38, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ]
^ Level 49 Name Index  con   len   c2   c3  > SL(2,Z/49Z) Matrix Generators
  49A3 168 1 8 0 0 [ 22, 28, 21, 29 ] , [ 25, 39, 38, 26 ] , [ 36, 0, 21, 15 ] , [ 48, 0, 0, 48 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A3 60 1 30 0 0 [ 7, 48, 18, 45 ] , [ 19, 0, 20, 29 ] , [ 26, 25, 25, 1 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 0, 40, 11 ] , [ 43, 40, 48, 47 ]
^ Level 51 Name Index  con   len   c2   c3  > SL(2,Z/51Z) Matrix Generators
  51A3 54 1 18 6 0 [ 1, 0, 42, 1 ] , [ 10, 34, 22, 29 ] , [ 18, 17, 34, 18 ] , [ 32, 34, 25, 25 ] , [ 35, 0, 0, 35 ] , [ 35, 17, 17, 1 ] , [ 38, 17, 14, 13 ] , [ 50, 34, 34, 16 ]
^ Level 52 Name Index  con   len   c2   c3  > SL(2,Z/52Z) Matrix Generators
  52A3 56 1 56 4 2 [ 5, 20, 16, 33 ] , [ 13, 16, 4, 41 ] , [ 14, 39, 39, 1 ] , [ 17, 0, 24, 49 ] , [ 27, 0, 0, 27 ] , [ 27, 26, 13, 1 ] , [ 37, 40, 16, 37 ]
  52B3 112 1 14 0 16 [ 17, 28, 48, 21 ] , [ 25, 0, 26, 25 ] , [ 27, 0, 26, 27 ] , [ 27, 13, 39, 40 ] , [ 27, 26, 0, 27 ] , [ 45, 24, 32, 9 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A3 72 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 27, 27, 28 ] , [ 7, 18, 42, 31 ] , [ 7, 18, 46, 49 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 36, 19 ] , [ 37, 0, 48, 19 ]
  54B3 72 1 24 0 0 [ 1, 0, 36, 1 ] , [ 19, 0, 12, 37 ] , [ 19, 9, 49, 46 ] , [ 31, 45, 19, 52 ] , [ 37, 0, 0, 19 ] , [ 46, 45, 27, 37 ] , [ 53, 0, 0, 53 ]
  54C3 72 1 24 0 9 [ 1, 0, 18, 1 ] , [ 16, 15, 25, 37 ] , [ 19, 0, 18, 37 ] , [ 28, 45, 9, 1 ] , [ 34, 27, 15, 31 ] , [ 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
  55A3 55 2 55 3 4 [ 1, 22, 44, 34 ] , [ 17, 52, 14, 17 ] , [ 18, 25, 42, 37 ] , [ 21, 11, 22, 43 ] , [ 23, 11, 0, 12 ] , [ 34, 0, 0, 34 ] , [ 54, 0, 0, 54 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A3 56 2 28 6 2 [ 1, 28, 28, 1 ] , [ 9, 40, 52, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ]
  56B3 56 2 28 6 2 [ 1, 28, 28, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 29 ] , [ 22, 49, 21, 1 ] , [ 23, 47, 10, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ]
  56C3 56 2 28 6 2 [ 1, 28, 28, 1 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 29 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ]
  56D3 56 2 28 6 2 [ 1, 28, 28, 1 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A3 60 2 20 6 3 [ 1, 20, 20, 41 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 37, 36, 0, 13 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 8, 48, 25 ]
  60B3 72 1 24 12 0 [ 1, 30, 45, 31 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 41, 40, 40, 1 ] , [ 56, 45, 15, 11 ]
  60C3 72 2 6 12 0 [ 1, 15, 15, 46 ] , [ 1, 20, 20, 41 ] , [ 1, 30, 30, 1 ] , [ 9, 11, 28, 21 ] , [ 13, 36, 36, 49 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 59, 0, 0, 59 ]
  60D3 72 2 18 12 0 [ 1, 15, 15, 46 ] , [ 1, 20, 50, 41 ] , [ 1, 30, 30, 1 ] , [ 9, 11, 58, 51 ] , [ 13, 36, 36, 49 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 59, 0, 0, 59 ]
^ Level 64 Name Index  con   len   c2   c3  > SL(2,Z/64Z) Matrix Generators
  64A3 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 ] , [ 27, 2, 46, 39 ] , [ 29, 26, 46, 17 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 35, 18, 46, 31 ] , [ 36, 63, 9, 30 ] , [ 53, 4, 28, 13 ] , [ 58, 61, 59, 8 ] , [ 59, 50, 30, 7 ]
  64B3 Γ0(64) 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 ] , [ 27, 2, 46, 39 ] , [ 29, 26, 14, 17 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 35, 18, 46, 31 ] , [ 36, 63, 9, 30 ] , [ 53, 4, 28, 13 ] , [ 58, 61, 59, 8 ] , [ 59, 50, 30, 7 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A3 66 2 33 12 0 [ 1, 44, 44, 23 ] , [ 11, 26, 41, 7 ] , [ 23, 0, 0, 23 ] , [ 23, 55, 55, 34 ] , [ 26, 7, 7, 7 ] , [ 34, 33, 33, 1 ] , [ 45, 11, 22, 45 ] , [ 65, 0, 0, 65 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A3 144 1 12 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 13, 56, 0, 61 ] , [ 19, 45, 36, 55 ] , [ 25, 53, 0, 49 ] , [ 29, 50, 36, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 36, 36, 55 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A3 84 2 28 18 0 [ 13, 0, 0, 13 ] , [ 15, 7, 14, 57 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 12, 24, 1 ] , [ 37, 48, 12, 61 ] , [ 49, 12, 60, 49 ] , [ 49, 24, 72, 13 ] , [ 57, 28, 56, 57 ] , [ 71, 0, 0, 71 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A3 144 1 12 36 0 [ 1, 0, 48, 1 ] , [ 13, 20, 26, 77 ] , [ 25, 0, 72, 73 ] , [ 25, 20, 38, 65 ] , [ 33, 64, 32, 33 ] , [ 41, 72, 12, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 71, 38, 77, 25 ] , [ 95, 0, 0, 95 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA