[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 13

Groups of Level: 10 12 14 15 16 18 20 21 22 23 24 26 27 28 30 32 33 34 35 36 39 40 42 44 45 48 50 51 52 54 55 56 57 58 60 63 64 65 66 68 69 70 72 73 74 75 77 78 80 81 82 84 85 87 89 90 91 96 97 100 102 104 105 108 110 112 116 117 120 123 126 128 129 130 132 135 143 144 145 150 162 163 164 174 180 182 183 196 210 231

^ Level 10 Name Index con len c₂ c₃ > SL(2,Z/10Z) Matrix Generators

10A¹³ Γ(10) 360 1 1 0 0 [ 9, 0, 0, 9 ]

^ Level 12 Name Index con len c₂ c₃ > SL(2,Z/12Z) Matrix Generators

12A¹³ 288 1 1 0 0 [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ]

12B¹³ 288 1 3 0 0 [ 5, 0, 6, 5 ] , [ 7, 0, 6, 7 ] , [ 11, 0, 0, 11 ]

^ Level 14 Name Index con len c₂ c₃ > SL(2,Z/14Z) Matrix Generators

14A¹³ 252 1 21 0 0 [ 5, 8, 2, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 10, 5 ]

14B¹³ 252 1 63 0 0 [ 5, 2, 11, 13 ] , [ 5, 8, 2, 9 ] , [ 13, 0, 0, 13 ]

14C¹³ 252 2 7 0 0 [ 5, 8, 2, 9 ] , [ 7, 12, 4, 7 ] , [ 13, 0, 0, 13 ]

^ Level 15 Name Index con len c₂ c₃ > SL(2,Z/15Z) Matrix Generators

15A¹³ 240 1 10 0 0 [ 4, 0, 0, 4 ] , [ 4, 3, 3, 10 ] , [ 11, 0, 0, 11 ]

^ Level 16 Name Index con len c₂ c₃ > SL(2,Z/16Z) Matrix Generators

16A¹³ 256 1 64 0 4 [ 7, 0, 0, 7 ] , [ 13, 5, 5, 2 ] , [ 15, 0, 0, 15 ]

16B¹³ 384 1 3 0 0 [ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ]

16C¹³ 384 1 6 0 0 [ 3, 12, 4, 11 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 12, 5 ] , [ 15, 0, 0, 15 ]

^ Level 18 Name Index con len c₂ c₃ > SL(2,Z/18Z) Matrix Generators

18A¹³ 216 1 3 0 0 [ 1, 9, 9, 10 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ]

18B¹³ 216 1 3 0 0 [ 1, 6, 12, 1 ] , [ 7, 0, 6, 13 ] , [ 17, 0, 0, 17 ]

18C¹³ 216 1 6 0 0 [ 1, 9, 9, 10 ] , [ 10, 9, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ]

18D¹³ 216 1 12 0 0 [ 7, 0, 0, 13 ] , [ 7, 15, 3, 4 ] , [ 17, 0, 0, 17 ]

18E¹³ 216 1 12 0 0 [ 16, 9, 9, 13 ] , [ 16, 15, 3, 13 ] , [ 17, 0, 0, 17 ]

18F¹³ 216 1 12 0 0 [ 4, 3, 9, 7 ] , [ 10, 3, 15, 1 ] , [ 17, 0, 0, 17 ]

18G¹³ 216 1 24 0 0 [ 7, 0, 6, 13 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ]

18H¹³ 216 2 6 0 0 [ 1, 3, 15, 10 ] , [ 4, 3, 9, 7 ] , [ 17, 0, 0, 17 ]

^ Level 20 Name Index con len c₂ c₃ > SL(2,Z/20Z) Matrix Generators

20A¹³ 240 1 30 0 0 [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]

20B¹³ 240 1 60 8 0 [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 10, 1, 7 ]

20C¹³ 240 1 60 8 0 [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 10, 1, 7 ]

20D¹³ 240 2 30 8 0 [ 7, 10, 19, 13 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]

20E¹³ 288 1 6 0 0 [ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ]

20F¹³ 288 1 18 0 0 [ 5, 8, 18, 13 ] , [ 5, 12, 12, 17 ] , [ 19, 4, 14, 3 ]

20G¹³ 360 1 3 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ]

^ Level 21 Name Index con len c₂ c₃ > SL(2,Z/21Z) Matrix Generators

21A¹³ 252 1 21 12 0 [ 1, 7, 7, 8 ] , [ 1, 14, 14, 8 ] , [ 1, 18, 3, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] , [ 15, 7, 14, 15 ]

21B¹³ 252 2 21 12 0 [ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 9, 15, 19 ]

21C¹³ 288 1 8 0 0 [ 1, 0, 6, 1 ] , [ 8, 0, 12, 8 ] , [ 8, 0, 18, 8 ] , [ 13, 0, 12, 13 ]

^ Level 22 Name Index con len c₂ c₃ > SL(2,Z/22Z) Matrix Generators

22A¹³ 220 1 55 0 4 [ 1, 8, 8, 21 ] , [ 1, 11, 11, 12 ] , [ 9, 2, 2, 3 ] , [ 13, 20, 20, 19 ] , [ 20, 15, 15, 19 ]

22B¹³ 220 2 55 0 4 [ 11, 10, 12, 11 ] , [ 12, 11, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 21, 0, 0, 21 ]

^ Level 23 Name Index con len c₂ c₃ > SL(2,Z/23Z) Matrix Generators

23A¹³ 253 1 253 13 1 [ 1, 7, 22, 17 ] , [ 6, 12, 18, 17 ] , [ 9, 19, 17, 13 ] , [ 16, 17, 16, 7 ] , [ 22, 0, 0, 22 ]

23B¹³ 253 2 253 9 4 [ 1, 13, 14, 22 ] , [ 6, 12, 18, 17 ] , [ 16, 17, 16, 7 ] , [ 20, 21, 15, 2 ] , [ 22, 0, 0, 22 ]

^ Level 24 Name Index con len c₂ c₃ > SL(2,Z/24Z) Matrix Generators

24A¹³ 192 1 4 0 0 [ 1, 12, 12, 1 ] , [ 1, 21, 9, 22 ] , [ 7, 12, 0, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 12, 17 ]

24B¹³ 192 1 4 0 0 [ 1, 12, 12, 1 ] , [ 1, 21, 9, 22 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ]

24C¹³ 192 1 16 0 0 [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 9, 13 ]

24D¹³ 192 1 16 0 0 [ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ]

24E¹³ 192 1 48 0 0 [ 1, 8, 8, 17 ] , [ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 8, 21 ] , [ 22, 15, 3, 1 ]

24F¹³ 192 1 48 0 0 [ 1, 9, 21, 22 ] , [ 1, 16, 16, 17 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ]

24G¹³ 256 1 64 0 4 [ 1, 16, 0, 1 ] , [ 10, 15, 15, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 0, 13 ]

24H¹³ 256 1 64 0 4 [ 1, 16, 0, 1 ] , [ 5, 0, 0, 5 ] , [ 10, 15, 15, 13 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ]

24I¹³ 256 1 64 0 4 [ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 15, 15, 13 ] , [ 17, 0, 0, 17 ]

24J¹³ 288 1 3 0 0 [ 1, 6, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 6, 18, 5 ] , [ 17, 12, 0, 17 ] , [ 23, 18, 18, 11 ]

24K¹³ 288 1 3 0 0 [ 1, 18, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 18, 5 ] , [ 17, 18, 6, 5 ]

24L¹³ 288 1 6 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 3, 17 ] , [ 19, 0, 15, 19 ] , [ 23, 0, 12, 23 ]

24M¹³ 288 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 5, 0, 12, 5 ] , [ 5, 0, 18, 5 ] , [ 7, 0, 3, 7 ] , [ 13, 0, 9, 13 ] , [ 17, 0, 3, 17 ]

24N¹³ 288 1 12 0 0 [ 1, 0, 3, 1 ] , [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 0, 3, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 12, 17 ]

24O¹³ 288 1 12 0 0 [ 1, 6, 6, 13 ] , [ 1, 12, 0, 1 ] , [ 1, 18, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 6, 18, 5 ] , [ 23, 18, 18, 11 ]

24P¹³ 288 1 12 0 0 [ 1, 12, 0, 1 ] , [ 7, 18, 18, 19 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 6, 5 ] , [ 17, 12, 0, 17 ]

24Q¹³ 288 1 18 16 0 [ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 17, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 14, 5, 7 ] , [ 19, 12, 6, 19 ] , [ 23, 14, 17, 1 ]

24R¹³ 288 1 18 16 0 [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 8, 7, 1, 16 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 19, 13, 4 ] , [ 23, 0, 0, 23 ]

24S¹³ 288 1 18 16 0 [ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 5, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 6, 13 ]

24T¹³ 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 8, 1, 7, 16 ] , [ 8, 19, 13, 16 ] , [ 16, 23, 17, 20 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 12, 23 ]

24U¹³ 288 1 36 8 0 [ 0, 23, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 12, 17 ]

24V¹³ 288 1 36 16 0 [ 7, 0, 0, 7 ] , [ 8, 1, 7, 16 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 16, 16, 11 ] , [ 23, 0, 0, 23 ]

24W¹³ 288 1 36 16 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 11, 2, 11, 13 ] , [ 13, 22, 1, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ]

24X¹³ 288 1 36 16 0 [ 7, 0, 0, 7 ] , [ 13, 4, 4, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ]

24Y¹³ 288 1 36 16 0 [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 17, 2, 23, 7 ] , [ 19, 10, 19, 5 ] , [ 23, 0, 0, 23 ]

24Z¹³ 288 1 36 16 0 [ 1, 0, 12, 1 ] , [ 5, 22, 1, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 10, 19, 13 ] , [ 17, 0, 12, 17 ] , [ 19, 22, 1, 5 ]

24AA¹³ 288 1 36 16 0 [ 1, 0, 12, 1 ] , [ 5, 22, 1, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 9, 4, 2, 9 ] , [ 11, 10, 19, 13 ] , [ 17, 0, 12, 17 ]

24AB¹³ 384 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 11, 16, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 12, 13 ]

24AC¹³ 384 1 24 0 0 [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 11, 8, 6, 11 ] , [ 13, 0, 18, 13 ]

^ Level 26 Name Index con len c₂ c₃ > SL(2,Z/26Z) Matrix Generators

26A¹³ 234 1 234 6 0 [ 7, 22, 20, 11 ] , [ 9, 6, 8, 17 ] , [ 14, 13, 13, 14 ] , [ 19, 4, 6, 15 ]

26B¹³ 252 1 14 0 0 [ 11, 4, 2, 15 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ]

^ Level 27 Name Index con len c₂ c₃ > SL(2,Z/27Z) Matrix Generators

27A¹³ 243 1 243 15 0 [ 1, 9, 18, 1 ] , [ 1, 23, 23, 17 ] , [ 4, 1, 10, 23 ] , [ 5, 26, 26, 22 ] , [ 10, 0, 9, 19 ] , [ 17, 9, 9, 8 ]

27B¹³ Γ₁(27) 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 16, 9, 26, 13 ] , [ 19, 0, 24, 10 ] , [ 26, 0, 0, 26 ]

27C¹³ 324 1 36 0 0 [ 1, 0, 3, 1 ] , [ 1, 0, 9, 1 ] , [ 19, 18, 0, 10 ] , [ 26, 0, 0, 26 ]

^ Level 28 Name Index con len c₂ c₃ > SL(2,Z/28Z) Matrix Generators

28A¹³ 224 1 28 0 8 [ 1, 21, 21, 22 ] , [ 5, 12, 12, 1 ] , [ 15, 0, 14, 15 ] , [ 15, 14, 0, 15 ] , [ 27, 26, 26, 23 ]

28B¹³ 252 1 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 23, 26, 10, 15 ]

28C¹³ 252 1 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 5 ] , [ 15, 0, 14, 15 ]

28D¹³ 252 2 21 0 0 [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ]

28E¹³ 252 2 21 12 0 [ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ]

28F¹³ 288 1 24 0 0 [ 1, 14, 0, 1 ] , [ 11, 8, 12, 19 ] , [ 13, 0, 0, 13 ] , [ 17, 24, 8, 13 ] , [ 21, 16, 24, 9 ] , [ 25, 8, 12, 5 ]

^ Level 30 Name Index con len c₂ c₃ > SL(2,Z/30Z) Matrix Generators

30A¹³ 180 1 10 0 0 [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ]

30B¹³ 180 1 15 0 0 [ 1, 15, 15, 16 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ]

30C¹³ 180 1 15 0 0 [ 1, 18, 6, 19 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 21, 20, 10, 21 ]

30D¹³ 180 1 15 0 0 [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]

30E¹³ 180 1 30 0 0 [ 1, 15, 25, 16 ] , [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]

30F¹³ 180 1 30 0 0 [ 7, 0, 12, 13 ] , [ 7, 6, 0, 13 ] , [ 7, 27, 9, 22 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]

30G¹³ 180 1 45 0 0 [ 1, 15, 15, 16 ] , [ 9, 2, 4, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 23, 20, 8, 7 ] , [ 29, 0, 0, 29 ]

30H¹³ 216 1 6 0 0 [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]

30I¹³ 216 1 18 0 0 [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]

30J¹³ 216 1 18 0 0 [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ]

30K¹³ 216 1 54 0 0 [ 1, 5, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]

30L¹³ 216 1 54 0 0 [ 1, 25, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]

30M¹³ 240 1 30 16 0 [ 1, 15, 15, 16 ] , [ 7, 20, 29, 23 ] , [ 11, 0, 0, 11 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ]

30N¹³ 240 1 120 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 11, 0, 20, 11 ] , [ 11, 0, 25, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ]

30O¹³ 240 2 60 0 12 [ 1, 15, 15, 16 ] , [ 17, 10, 22, 13 ] , [ 17, 26, 20, 13 ] , [ 19, 24, 16, 25 ] , [ 29, 0, 0, 29 ]

30P¹³ 288 1 24 0 0 [ 1, 0, 10, 1 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 7 ]

30Q¹³ 288 1 36 16 0 [ 11, 2, 29, 19 ] , [ 16, 15, 15, 1 ] , [ 19, 24, 24, 13 ] , [ 29, 0, 0, 29 ]

30R¹³ 288 1 72 0 0 [ 1, 0, 10, 1 ] , [ 11, 0, 5, 11 ] , [ 13, 6, 6, 19 ] , [ 29, 0, 20, 29 ]

^ Level 32 Name Index con len c₂ c₃ > SL(2,Z/32Z) Matrix Generators

32A¹³ 192 1 6 0 0 [ 1, 16, 16, 1 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 24, 17 ] , [ 19, 20, 4, 11 ] , [ 25, 0, 0, 9 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 4, 20, 15 ] , [ 31, 16, 16, 31 ]

32B¹³ 192 1 6 0 0 [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 11, 12, 12, 19 ] , [ 17, 12, 12, 1 ] , [ 17, 16, 16, 17 ] , [ 23, 12, 12, 23 ] , [ 25, 24, 24, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 16, 16, 31 ]

32C¹³ 192 1 6 0 0 [ 1, 16, 16, 1 ] , [ 3, 24, 16, 11 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 4, 20, 11 ] , [ 21, 4, 20, 13 ] , [ 21, 16, 24, 29 ] , [ 25, 0, 16, 9 ] , [ 25, 8, 8, 9 ] , [ 31, 8, 24, 31 ]

32D¹³ 192 1 6 0 0 [ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 8, 16, 23 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 22, 4, 3 ] , [ 25, 0, 0, 9 ]

32E¹³ 192 1 6 0 0 [ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 8, 16, 23 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 0, 0, 9 ] , [ 27, 6, 20, 27 ]

32F¹³ 192 1 6 0 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 3, 24, 0, 11 ] , [ 9, 4, 12, 9 ] , [ 9, 24, 24, 25 ] , [ 17, 16, 16, 17 ] , [ 17, 28, 4, 1 ] , [ 27, 4, 4, 3 ] , [ 31, 0, 0, 31 ]

32G¹³ 192 1 6 0 0 [ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 4, 5 ] , [ 25, 4, 8, 9 ]

32H¹³ 192 1 6 0 0 [ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 20, 5 ] , [ 25, 4, 8, 9 ]

32I¹³ 192 1 12 0 0 [ 0, 27, 13, 16 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 4, 27, 29, 12 ] , [ 17, 0, 0, 17 ] , [ 23, 4, 4, 23 ] , [ 24, 19, 5, 24 ] , [ 31, 0, 0, 31 ]

32J¹³ 192 1 12 0 0 [ 0, 27, 13, 16 ] , [ 1, 16, 16, 1 ] , [ 8, 3, 21, 8 ] , [ 8, 23, 25, 8 ] , [ 9, 0, 0, 25 ] , [ 15, 8, 8, 15 ] , [ 15, 24, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 31, 0, 0, 31 ]

32K¹³ 192 1 12 0 0 [ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 13, 20, 20, 21 ] , [ 13, 28, 28, 21 ] , [ 17, 16, 16, 17 ] , [ 20, 11, 13, 28 ] , [ 31, 0, 0, 31 ]

32L¹³ 192 1 12 0 0 [ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 13, 2, 28, 29 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 0, 16, 9 ] , [ 31, 8, 16, 31 ]

32M¹³ 192 1 12 0 0 [ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 15, 28, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 20, 5 ] , [ 25, 4, 24, 9 ]

32N¹³ 192 1 24 0 0 [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 23, 8, 8, 7 ] , [ 25, 24, 24, 9 ] , [ 26, 31, 5, 22 ] , [ 27, 22, 6, 31 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]

32O¹³ 192 1 24 0 0 [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 2, 18, 17 ] , [ 23, 8, 8, 7 ] , [ 25, 24, 24, 9 ] , [ 26, 31, 5, 22 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]

32P¹³ 192 1 48 0 0 [ 1, 16, 16, 1 ] , [ 4, 25, 23, 0 ] , [ 8, 9, 7, 4 ] , [ 9, 8, 8, 25 ] , [ 15, 20, 12, 31 ] , [ 17, 8, 24, 17 ] , [ 17, 16, 16, 17 ] , [ 20, 9, 7, 16 ] , [ 31, 28, 4, 15 ]

32Q¹³ 192 2 24 0 0 [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 16, 25 ] , [ 9, 24, 24, 25 ] , [ 16, 27, 13, 8 ] , [ 17, 16, 16, 17 ] , [ 27, 4, 4, 3 ] , [ 28, 25, 7, 28 ] , [ 31, 0, 0, 31 ]

32R¹³ 192 2 96 4 0 [ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 9, 24, 0, 25 ] , [ 15, 20, 20, 31 ] , [ 17, 8, 8, 17 ] , [ 23, 12, 20, 23 ] , [ 28, 21, 19, 28 ] , [ 31, 8, 24, 31 ]

32S¹³ 256 1 16 0 16 [ 1, 16, 16, 1 ] , [ 5, 29, 21, 26 ] , [ 9, 8, 0, 25 ] , [ 17, 16, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 21, 21, 13, 10 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ]

32T¹³ 384 1 3 0 0 [ 7, 16, 16, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 12, 20, 13 ] , [ 21, 28, 4, 13 ] , [ 31, 0, 0, 31 ]

32U¹³ 384 1 12 0 0 [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 3, 22, 8, 27 ] , [ 5, 30, 8, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 20, 16, 9 ]

^ Level 33 Name Index con len c₂ c₃ > SL(2,Z/33Z) Matrix Generators

33A¹³ 220 1 220 0 4 [ 1, 0, 11, 1 ] , [ 14, 12, 12, 8 ] , [ 23, 0, 0, 23 ] , [ 25, 27, 3, 31 ] , [ 28, 18, 12, 16 ] , [ 32, 0, 0, 32 ]

^ Level 34 Name Index con len c₂ c₃ > SL(2,Z/34Z) Matrix Generators

34A¹³ 204 1 102 0 6 [ 18, 17, 17, 1 ] , [ 21, 12, 0, 13 ] , [ 27, 16, 16, 7 ] , [ 29, 16, 26, 5 ] , [ 29, 20, 10, 21 ] , [ 33, 0, 0, 33 ]

34B¹³ 204 1 102 0 6 [ 7, 22, 24, 27 ] , [ 13, 26, 14, 15 ] , [ 18, 17, 17, 1 ] , [ 23, 14, 18, 11 ] , [ 29, 16, 4, 21 ] , [ 33, 0, 0, 33 ]

34C¹³ 216 1 18 0 0 [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 19, 0, 0, 9 ] , [ 21, 0, 0, 13 ] , [ 33, 0, 0, 33 ]

34D¹³ 216 1 54 0 0 [ 1, 0, 24, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 5, 25 ] , [ 33, 0, 22, 33 ]

^ Level 35 Name Index con len c₂ c₃ > SL(2,Z/35Z) Matrix Generators

35A¹³ 210 1 210 10 0 [ 1, 21, 7, 8 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 22, 7, 0, 8 ] , [ 29, 0, 0, 29 ]

35B¹³ 210 2 105 10 0 [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 15, 21, 14, 15 ] , [ 16, 30, 15, 26 ] , [ 20, 3, 18, 15 ] , [ 29, 0, 0, 29 ]

35C¹³ 252 2 42 12 0 [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 5, 20, 26 ] , [ 21, 25, 5, 21 ] , [ 33, 30, 29, 2 ] , [ 34, 0, 0, 34 ]

35D¹³ 288 1 48 0 0 [ 1, 0, 20, 1 ] , [ 6, 0, 15, 6 ] , [ 8, 7, 28, 29 ] , [ 15, 14, 21, 22 ] , [ 22, 28, 7, 1 ] , [ 29, 28, 7, 8 ]

^ Level 36 Name Index con len c₂ c₃ > SL(2,Z/36Z) Matrix Generators

36A¹³ 192 1 16 0 0 [ 1, 0, 24, 1 ] , [ 1, 12, 4, 13 ] , [ 25, 0, 0, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ]

36B¹³ 192 1 32 0 0 [ 1, 0, 12, 1 ] , [ 1, 12, 20, 25 ] , [ 25, 0, 24, 13 ] , [ 28, 3, 33, 19 ] , [ 35, 0, 0, 35 ]

36C¹³ 216 1 9 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 24, 12, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]

36D¹³ 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]

36E¹³ 216 1 18 12 0 [ 1, 9, 9, 10 ] , [ 9, 10, 35, 27 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ]

36F¹³ 216 1 18 12 0 [ 1, 9, 9, 10 ] , [ 9, 10, 17, 27 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ]

36G¹³ 216 1 18 12 0 [ 1, 18, 18, 1 ] , [ 5, 34, 31, 31 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 35, 0, 0, 35 ]

36H¹³ 216 1 18 12 0 [ 13, 24, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 23, 34, 31, 13 ] , [ 25, 0, 12, 13 ] , [ 25, 8, 14, 29 ] , [ 35, 0, 0, 35 ]

36I¹³ 216 1 18 12 0 [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ]

36J¹³ 216 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 9, 1 ] , [ 35, 0, 0, 35 ]

36K¹³ 216 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 20, 25 ] , [ 35, 0, 0, 35 ]

36L¹³ 216 1 36 12 0 [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 9, 10, 17, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 9, 9, 22 ] , [ 35, 0, 0, 35 ]

36M¹³ 216 1 36 12 0 [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 9, 10, 35, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 9, 9, 22 ] , [ 35, 0, 0, 35 ]

36N¹³ 216 1 72 12 0 [ 1, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 28, 27, 9, 28 ] , [ 29, 28, 4, 25 ]

36O¹³ 216 2 18 12 0 [ 0, 1, 35, 18 ] , [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]

36P¹³ 216 2 27 8 0 [ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 17, 15 ] , [ 35, 12, 24, 35 ]

36Q¹³ 216 2 36 12 0 [ 1, 18, 18, 1 ] , [ 9, 10, 35, 27 ] , [ 13, 9, 9, 34 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]

36R¹³ 216 2 36 12 0 [ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ]

36S¹³ 216 2 54 4 0 [ 19, 0, 18, 19 ] , [ 19, 18, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 17, 15 ] , [ 35, 12, 24, 35 ]

36T¹³ 288 1 4 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 32, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ]

36U¹³ 288 1 12 0 0 [ 1, 0, 12, 1 ] , [ 13, 0, 16, 25 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ]

^ Level 39 Name Index con len c₂ c₃ > SL(2,Z/39Z) Matrix Generators

39A¹³ 234 1 78 18 0 [ 7, 9, 33, 37 ] , [ 14, 0, 0, 14 ] , [ 14, 13, 13, 1 ] , [ 14, 26, 26, 1 ] , [ 19, 30, 6, 28 ] , [ 22, 6, 21, 4 ]

39B¹³ 252 1 42 12 0 [ 1, 13, 13, 14 ] , [ 14, 0, 0, 14 ] , [ 16, 15, 21, 10 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ]

^ Level 40 Name Index con len c₂ c₃ > SL(2,Z/40Z) Matrix Generators

40A¹³ 180 1 15 0 0 [ 1, 20, 20, 1 ] , [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ]

40B¹³ 192 1 24 0 0 [ 1, 15, 35, 6 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 20, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 39, 20, 20, 39 ]

40C¹³ 192 1 24 0 0 [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 0, 20, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 20, 20, 39 ]

40D¹³ 192 1 96 0 0 [ 21, 0, 0, 21 ] , [ 24, 19, 29, 8 ] , [ 25, 32, 32, 17 ] , [ 26, 25, 25, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ]

40E¹³ 192 1 96 0 0 [ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 25, 25, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ]

40F¹³ 240 1 30 16 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 14, 21, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 28, 38, 15 ]

40G¹³ 240 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 ] , [ 31, 0, 10, 31 ]

40H¹³ 240 1 60 8 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 26, 29, 5 ] , [ 21, 0, 0, 21 ]

40I¹³ 240 2 30 8 0 [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 7, 10, 21, 13 ] , [ 9, 32, 32, 25 ] , [ 15, 14, 21, 25 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ]

40J¹³ 288 1 18 0 0 [ 1, 10, 10, 21 ] , [ 19, 20, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 2, 22, 5 ]

40K¹³ 288 1 18 0 0 [ 1, 10, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 4, 4, 1 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ]

40L¹³ 288 1 36 0 0 [ 1, 20, 20, 1 ] , [ 11, 30, 10, 31 ] , [ 14, 15, 25, 4 ] , [ 16, 15, 25, 6 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ]

40M¹³ 288 1 36 16 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 39, 0, 0, 39 ]

40N¹³ 288 1 36 16 0 [ 8, 5, 3, 32 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 27, 18, 18, 15 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 36, 27, 29, 4 ] , [ 39, 0, 0, 39 ]

40O¹³ 288 1 72 0 0 [ 1, 10, 30, 21 ] , [ 11, 30, 10, 31 ] , [ 14, 15, 25, 4 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 26, 15, 25, 16 ]

40P¹³ 288 1 72 0 0 [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 26, 15, 25, 16 ]

40Q¹³ 288 1 72 0 0 [ 1, 0, 20, 1 ] , [ 19, 20, 20, 19 ] , [ 21, 10, 30, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 2, 22, 5 ]

40R¹³ 288 1 72 0 0 [ 1, 10, 10, 21 ] , [ 19, 20, 20, 19 ] , [ 21, 10, 30, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 32, 32, 25 ]

40S¹³ 288 1 72 8 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 24, 24, 33 ] , [ 32, 37, 35, 8 ] , [ 36, 17, 39, 4 ] , [ 39, 0, 0, 39 ]

40T¹³ 288 1 72 8 0 [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 28 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ]

40U¹³ 288 1 72 16 0 [ 8, 5, 3, 32 ] , [ 14, 31, 13, 26 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 31, 20, 20, 31 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ]

40V¹³ 288 1 72 16 0 [ 3, 2, 2, 15 ] , [ 9, 0, 0, 9 ] , [ 16, 37, 19, 24 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ]

40W¹³ 288 2 18 16 0 [ 8, 5, 3, 32 ] , [ 14, 31, 13, 26 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 36, 27, 29, 4 ] , [ 39, 0, 0, 39 ]

^ Level 42 Name Index con len c₂ c₃ > SL(2,Z/42Z) Matrix Generators

42A¹³ 168 1 28 0 0 [ 1, 21, 21, 22 ] , [ 8, 19, 1, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 15, 7, 35, 36 ] , [ 29, 21, 21, 8 ] , [ 37, 30, 0, 25 ]

42B¹³ 168 2 7 0 0 [ 5, 9, 18, 41 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 24, 31 ] , [ 22, 21, 21, 1 ] , [ 29, 21, 21, 8 ] , [ 31, 24, 6, 25 ] , [ 37, 6, 12, 19 ]

42C¹³ 168 2 7 0 0 [ 13, 0, 0, 13 ] , [ 19, 0, 24, 31 ] , [ 19, 30, 18, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 21, 21, 8 ] , [ 31, 24, 6, 25 ] , [ 37, 6, 12, 19 ]

42D¹³ 168 2 21 0 0 [ 7, 6, 36, 1 ] , [ 7, 30, 24, 7 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 25, 10, 34, 17 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]

42E¹³ 168 2 21 0 0 [ 1, 21, 21, 22 ] , [ 1, 24, 30, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 31, 24, 6, 25 ]

42F¹³ 192 1 8 0 0 [ 1, 21, 21, 22 ] , [ 13, 0, 21, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 12, 1 ] , [ 41, 0, 0, 41 ]

42G¹³ 192 1 8 0 0 [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 12, 1 ] , [ 29, 0, 0, 29 ]

42H¹³ 216 1 24 0 0 [ 1, 0, 21, 1 ] , [ 1, 14, 14, 29 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 14, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ]

42I¹³ 252 2 21 24 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 41, 24, 18, 29 ]

42J¹³ 252 2 21 24 0 [ 9, 20, 40, 33 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 6, 12, 19 ] , [ 41, 0, 0, 41 ] , [ 41, 38, 11, 1 ]

42K¹³ 252 2 63 24 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 16, 32, 9 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]

42L¹³ 288 1 96 0 0 [ 1, 0, 21, 1 ] , [ 19, 6, 16, 25 ] , [ 25, 18, 6, 1 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 28, 29 ]

^ Level 44 Name Index con len c₂ c₃ > SL(2,Z/44Z) Matrix Generators

44A¹³ 192 1 48 0 0 [ 1, 33, 33, 34 ] , [ 25, 16, 8, 21 ] , [ 25, 28, 20, 33 ] , [ 41, 40, 16, 21 ] , [ 43, 0, 0, 43 ]

44B¹³ 220 1 220 14 1 [ 1, 8, 8, 21 ] , [ 12, 33, 11, 23 ] , [ 13, 20, 20, 41 ] , [ 13, 36, 24, 9 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 11, 1 ] , [ 43, 0, 0, 43 ]

^ Level 45 Name Index con len c₂ c₃ > SL(2,Z/45Z) Matrix Generators

45A¹³ 180 1 20 0 0 [ 1, 30, 0, 1 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 40, 15, 31 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] , [ 41, 5, 30, 41 ]

45B¹³ 180 1 20 0 0 [ 1, 10, 30, 31 ] , [ 1, 15, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ] , [ 41, 10, 30, 26 ]

45C¹³ 180 1 20 0 0 [ 1, 30, 0, 1 ] , [ 10, 9, 36, 19 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 0, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ]

45D¹³ 180 1 60 0 0 [ 1, 10, 30, 31 ] , [ 1, 30, 0, 1 ] , [ 10, 9, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 37, 9, 0, 28 ] , [ 41, 25, 30, 26 ]

45E¹³ 180 1 60 0 0 [ 1, 30, 0, 1 ] , [ 10, 19, 21, 4 ] , [ 19, 0, 0, 19 ] , [ 26, 25, 30, 41 ] , [ 28, 0, 27, 37 ] , [ 31, 10, 30, 1 ] , [ 37, 9, 0, 28 ]

45F¹³ 180 1 60 0 0 [ 1, 30, 0, 1 ] , [ 10, 19, 21, 4 ] , [ 11, 25, 30, 11 ] , [ 16, 35, 15, 16 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 37, 9, 0, 28 ]

45G¹³ 180 2 20 0 0 [ 1, 30, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 26, 15, 0, 26 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ] , [ 40, 14, 6, 19 ]

45H¹³ 180 2 20 0 0 [ 1, 15, 0, 1 ] , [ 5, 44, 36, 29 ] , [ 10, 34, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ]

45I¹³ 180 2 20 0 0 [ 10, 39, 6, 19 ] , [ 14, 21, 39, 20 ] , [ 16, 0, 15, 31 ] , [ 16, 15, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 37, 0, 18, 28 ]

45J¹³ 180 2 90 4 0 [ 6, 5, 25, 36 ] , [ 10, 27, 27, 19 ] , [ 11, 15, 15, 41 ] , [ 16, 0, 15, 31 ] , [ 31, 15, 15, 16 ] , [ 43, 6, 0, 22 ] , [ 44, 0, 0, 44 ]

45K¹³ 216 1 24 0 0 [ 10, 18, 18, 37 ] , [ 19, 36, 36, 28 ] , [ 31, 0, 0, 16 ] , [ 31, 0, 15, 16 ] , [ 34, 0, 30, 4 ] , [ 38, 9, 9, 14 ] , [ 41, 36, 3, 29 ]

45L¹³ 216 1 72 0 0 [ 2, 3, 15, 23 ] , [ 4, 30, 15, 34 ] , [ 16, 15, 30, 31 ] , [ 36, 20, 40, 26 ] , [ 36, 25, 5, 1 ] , [ 37, 27, 27, 10 ]

45M¹³ 216 1 72 0 0 [ 2, 3, 15, 23 ] , [ 4, 30, 15, 34 ] , [ 7, 42, 12, 40 ] , [ 26, 10, 20, 6 ] , [ 28, 9, 9, 19 ] , [ 31, 30, 15, 16 ] , [ 41, 15, 30, 11 ]

45N¹³ 216 2 54 8 0 [ 1, 15, 30, 1 ] , [ 4, 0, 30, 34 ] , [ 16, 15, 0, 31 ] , [ 19, 36, 36, 28 ] , [ 34, 32, 14, 41 ] , [ 41, 30, 30, 11 ]

45O¹³ 240 1 40 0 0 [ 1, 0, 15, 1 ] , [ 1, 0, 25, 1 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ]

^ Level 48 Name Index con len c₂ c₃ > SL(2,Z/48Z) Matrix Generators

48A¹³ 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 41, 36, 34, 17 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]

48B¹³ 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 41, 36, 34, 17 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]

48C¹³ 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 7, 12, 42, 31 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 47, 24, 4, 47 ]

48D¹³ 192 1 12 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 7, 12, 42, 31 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 47, 24, 4, 47 ]

48E¹³ 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 28 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 32, 39, 41, 20 ] , [ 37, 0, 0, 13 ]

48F¹³ 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 4 ] , [ 17, 0, 8, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 37, 0, 0, 13 ]

48G¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 16 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 0, 13 ]

48H¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 40 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 0, 13 ]

48I¹³ 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 7, 12, 42, 31 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]

48J¹³ 192 1 24 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 41, 36, 34, 17 ] , [ 47, 24, 4, 47 ]

48K¹³ 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 39, 9, 28 ] , [ 16, 3, 21, 16 ] , [ 16, 39, 9, 40 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ]

48L¹³ 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 39, 9, 16 ] , [ 16, 3, 21, 4 ] , [ 16, 39, 9, 28 ] , [ 17, 0, 32, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ]

48M¹³ 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 13, 18, 18, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 14 ] , [ 41, 36, 44, 41 ]

48N¹³ 192 1 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 13, 18, 18, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 38 ] , [ 41, 36, 44, 41 ]

48O¹³ 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 10, 39, 45, 22 ] , [ 17, 0, 32, 17 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 18, 18, 43 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]

48P¹³ 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 4, 27, 45, 4 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]

48Q¹³ 192 2 24 8 0 [ 1, 24, 24, 1 ] , [ 16, 17, 47, 32 ] , [ 17, 0, 24, 17 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 12, 24, 13 ] , [ 47, 0, 0, 47 ]

48R¹³ 192 2 24 8 0 [ 0, 1, 47, 0 ] , [ 13, 12, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 24, 12, 13 ] , [ 47, 0, 0, 47 ]

48S¹³ 192 2 48 0 0 [ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 8, 39, 41, 44 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 38 ] , [ 41, 36, 44, 41 ]

48T¹³ 192 2 48 0 0 [ 1, 0, 32, 1 ] , [ 7, 30, 6, 19 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]

48U¹³ 256 1 16 0 16 [ 1, 0, 16, 1 ] , [ 13, 12, 0, 37 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 37, 0, 36, 13 ] , [ 46, 3, 15, 1 ] , [ 47, 12, 4, 47 ]

48V¹³ 288 1 6 0 0 [ 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 ]

48W¹³ 288 1 6 0 0 [ 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 ]

48X¹³ 288 1 9 32 0 [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 37, 0, 36, 13 ] , [ 41, 36, 6, 17 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ]

48Y¹³ 288 1 12 0 0 [ 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 ]

48Z¹³ 288 1 12 0 0 [ 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 ]

48AA¹³ 288 1 18 32 0 [ 1, 0, 24, 1 ] , [ 5, 0, 36, 29 ] , [ 7, 2, 23, 41 ] , [ 9, 28, 2, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ]

48AB¹³ 288 1 18 32 0 [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 20 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ]

48AC¹³ 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ] , [ 43, 22, 31, 17 ]

48AD¹³ 288 1 36 8 0 [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ]

48AE¹³ 288 1 36 32 0 [ 1, 0, 24, 1 ] , [ 11, 2, 35, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 27, 16, 20, 3 ] , [ 33, 20, 22, 9 ] , [ 47, 0, 0, 47 ]

48AF¹³ 288 1 36 32 0 [ 1, 0, 24, 1 ] , [ 11, 2, 35, 37 ] , [ 15, 28, 2, 39 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ]

48AG¹³ 384 1 12 0 0 [ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 36, 13 ] , [ 47, 0, 4, 47 ]

48AH¹³ 384 1 48 0 0 [ 1, 0, 32, 1 ] , [ 13, 12, 36, 37 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 31, 6, 42, 19 ] , [ 32, 45, 43, 14 ] , [ 34, 45, 27, 16 ]

^ Level 50 Name Index con len c₂ c₃ > SL(2,Z/50Z) Matrix Generators

50A¹³ 180 1 30 0 0 [ 3, 48, 20, 37 ] , [ 5, 22, 22, 17 ] , [ 9, 44, 24, 23 ] , [ 21, 10, 10, 31 ] , [ 39, 0, 40, 9 ] , [ 41, 0, 40, 11 ]

50B¹³ 180 1 30 0 0 [ 15, 32, 22, 47 ] , [ 19, 4, 34, 23 ] , [ 21, 2, 4, 29 ] , [ 21, 10, 10, 31 ] , [ 31, 30, 0, 21 ] , [ 49, 0, 0, 49 ]

50C¹³ 180 1 30 0 0 [ 3, 46, 6, 9 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 23, 32, 22, 35 ] , [ 31, 0, 30, 21 ] , [ 35, 2, 22, 7 ] , [ 35, 22, 2, 7 ] , [ 49, 6, 38, 21 ]

50D¹³ 180 1 30 0 0 [ 5, 36, 34, 5 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] , [ 35, 32, 42, 47 ] , [ 37, 30, 42, 3 ] , [ 49, 40, 10, 49 ]

50E¹³ 360 1 6 0 0 [ 11, 30, 30, 41 ] , [ 21, 0, 20, 31 ] , [ 21, 40, 30, 31 ] , [ 29, 14, 44, 23 ] , [ 31, 40, 40, 21 ] , [ 37, 38, 8, 15 ] , [ 49, 0, 0, 49 ]

^ Level 51 Name Index con len c₂ c₃ > SL(2,Z/51Z) Matrix Generators

51A¹³ 216 1 54 8 0 [ 1, 0, 39, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 17, 8, 8 ]

51B¹³ 216 1 54 8 0 [ 1, 0, 39, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 18, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 3, 25 ]

^ Level 52 Name Index con len c₂ c₃ > SL(2,Z/52Z) Matrix Generators

52A¹³ 224 1 56 0 8 [ 1, 13, 13, 14 ] , [ 5, 20, 16, 33 ] , [ 5, 40, 36, 49 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ]

52B¹³ 252 1 42 0 0 [ 21, 18, 24, 33 ] , [ 23, 37, 44, 3 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ] , [ 37, 4, 28, 41 ]

52C¹³ 252 1 42 12 0 [ 19, 45, 22, 33 ] , [ 21, 18, 24, 33 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ] , [ 37, 4, 28, 41 ]

^ Level 54 Name Index con len c₂ c₃ > SL(2,Z/54Z) Matrix Generators

54A¹³ 162 2 81 0 0 [ 1, 27, 27, 28 ] , [ 5, 30, 30, 29 ] , [ 27, 28, 26, 27 ] , [ 29, 28, 28, 1 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ] , [ 49, 24, 24, 25 ]

54B¹³ 216 1 12 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 17, 0, 0, 35 ] , [ 31, 36, 52, 43 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ]

54C¹³ 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 27, 27, 28 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 36, 40, 49 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ]

54D¹³ 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 18, 26, 37 ] , [ 17, 0, 0, 35 ] , [ 28, 27, 27, 1 ] , [ 37, 0, 36, 19 ]

54E¹³ 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 13, 0, 12, 25 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]

54F¹³ 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 9, 45, 28 ] , [ 19, 0, 18, 37 ] , [ 31, 45, 49, 52 ] , [ 37, 0, 12, 19 ] , [ 53, 0, 0, 53 ]

54G¹³ 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 1, 9, 45, 28 ] , [ 19, 0, 18, 37 ] , [ 37, 0, 12, 19 ] , [ 40, 45, 49, 43 ] , [ 53, 0, 0, 53 ]

54H¹³ 216 1 24 0 0 [ 1, 0, 18, 1 ] , [ 13, 36, 0, 25 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 40, 9, 11, 43 ]

54I¹³ 216 1 24 0 0 [ 1, 0, 18, 1 ] , [ 16, 45, 9, 49 ] , [ 19, 0, 0, 37 ] , [ 25, 36, 24, 13 ] , [ 28, 9, 9, 1 ] , [ 53, 0, 0, 53 ]

54J¹³ 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 13, 9, 11, 16 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ] , [ 40, 27, 31, 25 ]

54K¹³ 216 1 24 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 45, 35, 40 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ] , [ 43, 0, 6, 49 ]

54L¹³ 216 1 24 0 0 [ 1, 0, 18, 1 ] , [ 13, 9, 27, 52 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 40, 9, 11, 43 ]

54M¹³ 216 1 24 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 16, 27, 33, 49 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ] , [ 34, 45, 35, 13 ]

54N¹³ 216 1 24 0 9 [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 28, 45, 27, 1 ] , [ 37, 0, 36, 19 ] , [ 43, 33, 43, 28 ] , [ 53, 0, 0, 53 ]

54O¹³ 216 1 24 0 9 [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 28, 45, 27, 1 ] , [ 34, 51, 7, 1 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]

54P¹³ 216 1 24 0 9 [ 1, 0, 36, 1 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 31, 0, 42, 7 ] , [ 37, 36, 30, 19 ] , [ 49, 15, 19, 40 ]

54Q¹³ 216 2 24 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 45, 35, 40 ] , [ 16, 27, 33, 49 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ]

54R¹³ 216 2 24 0 0 [ 1, 0, 36, 1 ] , [ 13, 9, 11, 16 ] , [ 13, 27, 31, 52 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ]

54S¹³ 216 2 24 0 9 [ 1, 0, 36, 1 ] , [ 25, 27, 27, 40 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 43, 39, 29, 10 ] , [ 53, 0, 0, 53 ]

54T¹³ 216 2 24 0 9 [ 1, 0, 36, 1 ] , [ 4, 27, 15, 7 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 22, 15, 19, 13 ] , [ 37, 36, 30, 19 ]

^ Level 55 Name Index con len c₂ c₃ > SL(2,Z/55Z) Matrix Generators

55A¹³ 180 1 60 0 0 [ 1, 33, 11, 34 ] , [ 16, 50, 40, 46 ] , [ 21, 0, 0, 21 ] , [ 21, 5, 30, 36 ] , [ 23, 44, 0, 12 ] , [ 34, 0, 0, 34 ]

^ Level 56 Name Index con len c₂ c₃ > SL(2,Z/56Z) Matrix Generators

56A¹³ 168 2 21 0 0 [ 1, 28, 0, 1 ] , [ 9, 19, 38, 43 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 28, 15 ] , [ 19, 36, 16, 51 ] , [ 25, 0, 24, 9 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]

56B¹³ 168 2 21 0 0 [ 1, 7, 14, 43 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 28, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 41, 32, 40, 49 ] , [ 49, 16, 24, 49 ]

56C¹³ 168 2 21 0 0 [ 1, 14, 28, 1 ] , [ 1, 30, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 54, 24, 15 ] , [ 29, 14, 28, 29 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]

56D¹³ 168 2 21 0 0 [ 1, 16, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 40, 24, 15 ] , [ 23, 54, 52, 15 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] , [ 51, 54, 52, 43 ]

56E¹³ 168 2 42 0 0 [ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 9, 47, 38, 43 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 25, 32, 8, 17 ] , [ 29, 0, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ]

56F¹³ 168 2 42 0 0 [ 9, 24, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 29 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]

56G¹³ 192 1 24 0 0 [ 1, 48, 24, 33 ] , [ 5, 0, 50, 45 ] , [ 5, 28, 8, 45 ] , [ 9, 40, 32, 49 ] , [ 19, 28, 50, 3 ] , [ 25, 8, 12, 33 ] , [ 33, 0, 22, 17 ]

56H¹³ 192 1 24 0 0 [ 1, 48, 24, 33 ] , [ 9, 40, 32, 49 ] , [ 25, 8, 12, 33 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 14, 29 ] , [ 33, 0, 8, 17 ] , [ 43, 28, 42, 43 ]

56I¹³ 192 1 48 0 0 [ 1, 14, 49, 15 ] , [ 9, 16, 16, 41 ] , [ 9, 40, 32, 49 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 28, 29 ] , [ 41, 32, 20, 17 ] , [ 49, 8, 48, 41 ]

56J¹³ 192 1 48 0 0 [ 1, 42, 49, 43 ] , [ 9, 16, 16, 41 ] , [ 9, 40, 32, 49 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 28, 29 ] , [ 41, 32, 20, 17 ] , [ 49, 8, 48, 41 ]

56K¹³ 192 1 96 0 0 [ 1, 0, 28, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 28, 14, 15 ] , [ 25, 8, 40, 33 ] , [ 25, 24, 28, 9 ] , [ 43, 0, 28, 43 ] , [ 55, 0, 0, 55 ] , [ 55, 42, 21, 13 ]

56L¹³ 192 1 96 0 0 [ 1, 0, 28, 1 ] , [ 5, 36, 18, 29 ] , [ 9, 48, 24, 41 ] , [ 17, 24, 8, 41 ] , [ 33, 40, 40, 1 ] , [ 47, 50, 39, 1 ] , [ 55, 48, 36, 7 ]

56M¹³ 224 2 112 16 2 [ 1, 7, 35, 22 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 23, 47, 10, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 49, 16, 24, 49 ]

56N¹³ 256 1 32 0 16 [ 1, 28, 28, 1 ] , [ 1, 35, 7, 22 ] , [ 27, 0, 28, 27 ] , [ 29, 0, 28, 29 ] , [ 33, 48, 16, 25 ] , [ 49, 32, 40, 41 ]

56O¹³ 288 1 48 0 0 [ 3, 41, 44, 23 ] , [ 9, 40, 32, 49 ] , [ 19, 16, 24, 35 ] , [ 29, 28, 0, 29 ] , [ 33, 16, 24, 49 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ]

^ Level 57 Name Index con len c₂ c₃ > SL(2,Z/57Z) Matrix Generators

57A¹³ 180 1 20 0 0 [ 19, 48, 36, 40 ] , [ 20, 0, 0, 20 ] , [ 20, 19, 19, 1 ] , [ 20, 38, 38, 1 ] , [ 37, 38, 38, 56 ] , [ 40, 33, 9, 16 ]

57B¹³ 240 1 80 0 6 [ 1, 19, 0, 1 ] , [ 16, 36, 54, 4 ] , [ 20, 0, 0, 20 ] , [ 22, 21, 3, 34 ] , [ 31, 42, 3, 28 ]

^ Level 58 Name Index con len c₂ c₃ > SL(2,Z/58Z) Matrix Generators

58A¹³ 180 1 30 0 0 [ 33, 46, 8, 27 ] , [ 51, 18, 52, 7 ] , [ 57, 0, 0, 57 ] , [ 57, 10, 2, 37 ]

^ Level 60 Name Index con len c₂ c₃ > SL(2,Z/60Z) Matrix Generators

60A¹³ 180 1 30 0 0 [ 1, 0, 30, 1 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 0, 45, 31 ] , [ 37, 0, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ]

60B¹³ 180 1 30 6 0 [ 1, 40, 40, 41 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]

60C¹³ 180 1 45 0 0 [ 1, 0, 30, 1 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 40, 5, 51 ]

60D¹³ 180 1 45 4 0 [ 1, 24, 48, 13 ] , [ 1, 30, 15, 31 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ]

60E¹³ 180 1 90 4 0 [ 1, 0, 30, 1 ] , [ 7, 30, 39, 13 ] , [ 17, 10, 34, 13 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ]

60F¹³ 180 1 90 6 0 [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 55, 31 ] , [ 41, 40, 10, 1 ] , [ 49, 0, 0, 49 ]

60G¹³ 180 2 30 6 0 [ 13, 24, 0, 37 ] , [ 13, 40, 28, 17 ] , [ 16, 15, 45, 16 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 57, 4, 8, 49 ]

60H¹³ 180 2 45 4 0 [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 40, 1 ] , [ 41, 50, 35, 31 ] , [ 49, 0, 0, 49 ]

60I¹³ 192 1 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 19, 0, 40, 19 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 20, 41 ] , [ 46, 15, 15, 1 ]

60J¹³ 192 1 24 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 13, 36, 36, 49 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 10, 41 ] , [ 46, 45, 5, 1 ] , [ 59, 0, 0, 59 ]

60K¹³ 192 1 96 0 0 [ 1, 0, 20, 1 ] , [ 1, 30, 45, 31 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ]

60L¹³ 192 1 96 0 0 [ 1, 0, 20, 1 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 19, 6, 23, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ]

60M¹³ 192 1 96 0 0 [ 1, 0, 20, 1 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ] , [ 49, 36, 8, 1 ]

60N¹³ 216 1 18 0 0 [ 1, 30, 0, 1 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]

60O¹³ 216 1 36 12 0 [ 1, 15, 30, 31 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]

60P¹³ 216 1 36 12 0 [ 1, 30, 45, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 48, 31 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 11 ] , [ 41, 0, 0, 41 ]

60Q¹³ 216 1 54 0 0 [ 1, 30, 0, 1 ] , [ 7, 30, 42, 43 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 10, 52, 43 ]

60R¹³ 216 1 54 0 0 [ 1, 30, 0, 1 ] , [ 21, 20, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 10, 52, 43 ]

60S¹³ 216 1 54 0 0 [ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 51, 55, 50, 21 ]

60T¹³ 216 1 54 0 0 [ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 17, 15, 12, 53 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ]

60U¹³ 216 1 54 8 0 [ 7, 50, 32, 23 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 30, 42, 23 ]

60V¹³ 216 1 54 8 0 [ 1, 30, 0, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 50, 50, 1 ] , [ 57, 25, 2, 3 ] , [ 59, 0, 0, 59 ]

60W¹³ 216 1 54 8 0 [ 1, 25, 40, 41 ] , [ 17, 40, 22, 13 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ]

60X¹³ 216 1 54 8 0 [ 1, 25, 10, 11 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 57, 25, 2, 3 ] , [ 59, 0, 0, 59 ]

60Y¹³ 216 1 54 8 0 [ 21, 40, 20, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]

60Z¹³ 216 1 108 12 0 [ 1, 40, 40, 41 ] , [ 7, 30, 12, 43 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 57, 40, 32, 33 ]

60AA¹³ 216 1 108 12 0 [ 1, 15, 30, 31 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 51, 35, 10, 21 ]

60AB¹³ 216 2 18 12 0 [ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 57, 25, 32, 33 ] , [ 59, 0, 0, 59 ]

60AC¹³ 216 2 54 8 0 [ 7, 50, 32, 23 ] , [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]

60AD¹³ 216 2 54 8 0 [ 11, 35, 50, 1 ] , [ 21, 40, 50, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]

60AE¹³ 216 2 54 8 0 [ 11, 35, 50, 1 ] , [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 57, 55, 2, 3 ]

60AF¹³ 216 2 54 8 0 [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 41, 0, 0, 41 ]

60AG¹³ 216 2 54 12 0 [ 1, 30, 30, 1 ] , [ 17, 45, 42, 23 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 37, 5, 2, 23 ] , [ 41, 0, 0, 41 ] , [ 57, 25, 32, 33 ] , [ 59, 0, 0, 59 ]

60AH¹³ 240 1 40 24 0 [ 1, 20, 20, 41 ] , [ 1, 40, 40, 41 ] , [ 23, 50, 11, 37 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ]

60AI¹³ 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 13, 36, 36, 49 ] , [ 29, 0, 50, 29 ] , [ 31, 0, 30, 31 ] , [ 41, 30, 50, 41 ]

60AJ¹³ 288 1 72 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ]

60AK¹³ 288 1 72 32 0 [ 11, 40, 40, 31 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 39, 46, 23, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ]

^ Level 63 Name Index con len c₂ c₃ > SL(2,Z/63Z) Matrix Generators

63A¹³ 168 2 28 0 0 [ 20, 35, 49, 48 ] , [ 25, 60, 0, 58 ] , [ 28, 18, 54, 28 ] , [ 28, 36, 27, 55 ] , [ 38, 45, 42, 5 ] , [ 40, 33, 48, 16 ] , [ 43, 0, 21, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 58, 24, 21, 25 ]

63B¹³ 168 2 56 0 0 [ 6, 55, 29, 14 ] , [ 8, 35, 28, 36 ] , [ 10, 36, 18, 46 ] , [ 15, 56, 7, 22 ] , [ 19, 54, 27, 37 ] , [ 21, 13, 8, 29 ] , [ 22, 42, 21, 43 ] , [ 28, 36, 6, 55 ] , [ 43, 0, 21, 22 ] , [ 46, 6, 24, 10 ] , [ 55, 0, 0, 55 ]

63C¹³ 192 1 32 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 22, 0, 0, 43 ] , [ 25, 0, 27, 58 ] , [ 41, 21, 49, 62 ] , [ 43, 42, 14, 43 ] , [ 43, 42, 56, 43 ]

63D¹³ 192 2 32 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 21, 1 ] , [ 4, 42, 41, 37 ] , [ 22, 21, 14, 22 ] , [ 25, 21, 36, 58 ] , [ 41, 21, 35, 41 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 43, 21, 56, 1 ]

63E¹³ 288 1 32 0 0 [ 1, 0, 23, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 42, 1 ] , [ 22, 0, 0, 43 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 42, 22 ] , [ 50, 0, 7, 29 ] , [ 50, 0, 38, 29 ] , [ 55, 0, 54, 55 ]

^ Level 64 Name Index con len c₂ c₃ > SL(2,Z/64Z) Matrix Generators

64A¹³ 192 1 12 0 0 [ 1, 32, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 5, 50, 40, 29 ] , [ 15, 36, 16, 47 ] , [ 17, 16, 0, 49 ] , [ 17, 22, 24, 1 ] , [ 21, 20, 48, 61 ] , [ 33, 24, 32, 33 ] , [ 33, 32, 0, 33 ] , [ 41, 4, 16, 25 ] , [ 49, 12, 48, 17 ] , [ 49, 48, 0, 17 ] , [ 57, 56, 32, 9 ]

64B¹³ 192 1 12 0 0 [ 1, 32, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 5, 50, 8, 29 ] , [ 15, 36, 16, 47 ] , [ 17, 16, 0, 49 ] , [ 17, 22, 56, 1 ] , [ 21, 20, 48, 61 ] , [ 33, 24, 32, 33 ] , [ 33, 32, 0, 33 ] , [ 41, 4, 16, 25 ] , [ 49, 12, 48, 17 ] , [ 49, 48, 0, 17 ] , [ 57, 56, 32, 9 ]

64C¹³ 192 1 12 0 0 [ 1, 16, 0, 1 ] , [ 1, 20, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 9, 32, 32, 57 ] , [ 11, 22, 24, 19 ] , [ 13, 12, 32, 5 ] , [ 17, 0, 0, 49 ] , [ 19, 50, 8, 11 ] , [ 21, 50, 8, 13 ] , [ 33, 48, 0, 33 ] , [ 57, 12, 48, 9 ] , [ 57, 60, 48, 9 ]

64D¹³ 192 1 12 0 0 [ 1, 16, 0, 1 ] , [ 1, 20, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 9, 32, 32, 57 ] , [ 9, 58, 56, 41 ] , [ 11, 22, 24, 19 ] , [ 17, 0, 0, 49 ] , [ 19, 50, 8, 11 ] , [ 21, 50, 8, 13 ] , [ 33, 48, 0, 33 ] , [ 57, 12, 48, 9 ] , [ 57, 60, 48, 9 ]

64E¹³ 192 1 12 0 0 [ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 8, 7, 57, 34 ] , [ 9, 40, 24, 57 ] , [ 12, 51, 61, 30 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 2, 46, 61 ] , [ 33, 32, 32, 33 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ]

64F¹³ 192 1 12 0 0 [ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 9, 40, 24, 57 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 2, 46, 61 ] , [ 33, 32, 32, 33 ] , [ 44, 51, 61, 30 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ] , [ 62, 23, 9, 56 ]

64G¹³ 192 1 12 0 0 [ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 21, 36, 28, 45 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 34, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 42, 51, 13, 28 ] , [ 49, 16, 48, 17 ] , [ 51, 4, 60, 11 ] , [ 53, 4, 60, 13 ] , [ 59, 2, 30, 39 ]

64H¹³ 192 1 12 0 0 [ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 21, 36, 28, 45 ] , [ 24, 33, 47, 14 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 34, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 49, 16, 48, 17 ] , [ 51, 4, 60, 11 ] , [ 53, 4, 60, 13 ] , [ 59, 2, 30, 39 ]

64I¹³ 192 1 24 0 0 [ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 9, 40, 24, 57 ] , [ 12, 51, 61, 30 ] , [ 13, 52, 28, 53 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 32, 32, 33 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ] , [ 62, 23, 9, 56 ]

64J¹³ 192 1 24 0 0 [ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 17, 18, 30, 13 ] , [ 21, 36, 28, 45 ] , [ 24, 33, 47, 14 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 2, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 45, 36, 12, 21 ] , [ 49, 16, 48, 17 ] , [ 53, 4, 60, 13 ]

64K¹³ 192 1 24 8 0 [ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 11, 52, 20, 19 ] , [ 20, 11, 45, 44 ] , [ 28, 31, 49, 4 ] , [ 33, 32, 32, 33 ] , [ 33, 40, 40, 33 ] , [ 45, 24, 24, 37 ] , [ 49, 16, 16, 17 ] , [ 57, 40, 40, 9 ] , [ 63, 0, 0, 63 ]

64L¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 29, 12, 44, 5 ] , [ 30, 27, 33, 2 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 22, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ] , [ 63, 18, 2, 27 ]

64M¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 28, 57, 39, 52 ] , [ 29, 12, 44, 5 ] , [ 30, 27, 33, 2 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 54, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ]

64N¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 38, 59, 1, 42 ] , [ 41, 6, 6, 29 ] , [ 41, 8, 8, 25 ] , [ 43, 46, 46, 15 ] , [ 48, 35, 53, 0 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]

64O¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 38, 59, 1, 42 ] , [ 40, 53, 35, 40 ] , [ 41, 6, 38, 29 ] , [ 41, 8, 8, 25 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]

64P¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 17, 8, 24, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 28, 57, 39, 52 ] , [ 29, 12, 44, 5 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 54, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ]

64Q¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 17, 8, 24, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 29, 12, 44, 5 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 22, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 26 ] , [ 63, 18, 2, 27 ]

64R¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 14, 43, 49, 50 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 24, 40, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 41, 6, 6, 29 ] , [ 41, 8, 8, 25 ] , [ 43, 46, 46, 15 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]

64S¹³ 192 1 48 8 0 [ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 24, 40, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 40, 53, 35, 40 ] , [ 41, 6, 38, 29 ] , [ 41, 8, 8, 25 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]

64T¹³ 192 2 24 8 0 [ 3, 46, 62, 55 ] , [ 9, 40, 40, 57 ] , [ 17, 16, 16, 49 ] , [ 17, 32, 32, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 16, 16, 41 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 52, 15, 33, 44 ] , [ 53, 20, 52, 45 ] , [ 63, 32, 32, 63 ]

64U¹³ 192 2 96 4 0 [ 1, 32, 32, 1 ] , [ 17, 48, 16, 49 ] , [ 23, 12, 20, 55 ] , [ 25, 48, 48, 41 ] , [ 27, 0, 48, 19 ] , [ 33, 0, 0, 33 ] , [ 33, 8, 56, 33 ] , [ 35, 4, 44, 27 ] , [ 41, 56, 40, 25 ] , [ 49, 32, 32, 17 ] , [ 55, 12, 20, 23 ] , [ 60, 59, 29, 36 ] , [ 63, 32, 32, 63 ]

64V¹³ 384 1 6 0 0 [ 1, 8, 32, 1 ] , [ 1, 32, 0, 1 ] , [ 9, 48, 0, 57 ] , [ 17, 8, 32, 49 ] , [ 17, 48, 0, 49 ] , [ 25, 24, 32, 41 ] , [ 33, 16, 0, 33 ] , [ 33, 32, 0, 33 ] , [ 37, 38, 40, 29 ] , [ 41, 4, 48, 25 ] , [ 63, 0, 0, 63 ]

64W¹³ 384 1 24 0 0 [ 1, 32, 32, 1 ] , [ 23, 56, 8, 39 ] , [ 31, 14, 18, 35 ] , [ 31, 46, 50, 35 ] , [ 33, 32, 32, 33 ] , [ 34, 57, 55, 32 ] , [ 49, 48, 16, 17 ] , [ 57, 26, 38, 5 ] , [ 57, 40, 56, 9 ] , [ 57, 56, 8, 9 ] , [ 61, 28, 36, 5 ] , [ 63, 14, 18, 3 ]

^ Level 65 Name Index con len c₂ c₃ > SL(2,Z/65Z) Matrix Generators

65A¹³ 252 1 84 12 0 [ 1, 10, 5, 51 ] , [ 14, 0, 0, 14 ] , [ 27, 39, 26, 40 ] , [ 51, 0, 0, 51 ] , [ 53, 39, 0, 27 ] , [ 56, 25, 35, 11 ]

^ Level 66 Name Index con len c₂ c₃ > SL(2,Z/66Z) Matrix Generators

66A¹³ 192 1 48 0 0 [ 1, 33, 33, 34 ] , [ 23, 44, 22, 45 ] , [ 31, 48, 42, 31 ] , [ 43, 55, 11, 54 ] , [ 55, 30, 48, 13 ]

66B¹³ 198 2 99 12 0 [ 1, 11, 44, 23 ] , [ 1, 22, 22, 23 ] , [ 11, 25, 40, 55 ] , [ 13, 65, 44, 17 ] , [ 23, 0, 0, 23 ] , [ 65, 0, 0, 65 ]

^ Level 68 Name Index con len c₂ c₃ > SL(2,Z/68Z) Matrix Generators

68A¹³ 216 1 54 0 0 [ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 52, 51, 5, 18 ] , [ 52, 51, 29, 18 ] , [ 52, 51, 57, 18 ] , [ 53, 0, 42, 9 ]

68B¹³ 216 1 54 0 0 [ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 52, 51, 5, 18 ] , [ 52, 51, 29, 18 ] , [ 52, 51, 57, 18 ] , [ 53, 0, 48, 9 ]

68C¹³ 216 1 54 8 0 [ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 18, 51, 37, 18 ] , [ 18, 51, 53, 18 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 36, 51, 21, 26 ] , [ 53, 0, 42, 9 ]

68D¹³ 216 1 54 8 0 [ 1, 0, 24, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 48, 21 ] , [ 18, 17, 11, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 34, 42, 15 ] , [ 67, 0, 64, 67 ]

^ Level 69 Name Index con len c₂ c₃ > SL(2,Z/69Z) Matrix Generators

69A¹³ 192 1 96 0 0 [ 1, 0, 23, 1 ] , [ 49, 54, 6, 1 ] , [ 55, 66, 6, 16 ] , [ 67, 27, 15, 4 ] , [ 68, 0, 0, 68 ]

^ Level 70 Name Index con len c₂ c₃ > SL(2,Z/70Z) Matrix Generators

70A¹³ 168 2 42 0 0 [ 9, 52, 54, 1 ] , [ 11, 50, 60, 31 ] , [ 15, 42, 42, 43 ] , [ 29, 56, 56, 43 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 40, 31 ] , [ 61, 30, 50, 51 ]

70B¹³ 168 2 42 0 0 [ 1, 35, 35, 36 ] , [ 1, 40, 55, 31 ] , [ 11, 50, 60, 31 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 30, 61 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 57, 42, 42, 15 ]

70C¹³ 168 2 42 0 0 [ 1, 30, 10, 21 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 43 ] , [ 31, 40, 40, 11 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 30, 50, 51 ]

70D¹³ 168 2 42 0 0 [ 1, 28, 56, 29 ] , [ 21, 20, 50, 41 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 43 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 30, 50, 51 ]

70E¹³ 192 1 48 0 0 [ 1, 0, 30, 1 ] , [ 1, 56, 0, 1 ] , [ 29, 21, 20, 29 ] , [ 31, 35, 30, 61 ] , [ 36, 35, 35, 1 ] , [ 51, 0, 40, 11 ]

70F¹³ 192 1 48 0 0 [ 1, 0, 50, 1 ] , [ 1, 56, 0, 1 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 40, 41 ] , [ 51, 0, 40, 11 ]

^ Level 72 Name Index con len c₂ c₃ > SL(2,Z/72Z) Matrix Generators

72A¹³ 192 1 16 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 5, 20, 36, 29 ] , [ 11, 56, 36, 59 ] , [ 25, 0, 0, 49 ] , [ 25, 5, 9, 22 ] , [ 25, 40, 0, 49 ] , [ 37, 48, 36, 37 ] , [ 41, 56, 36, 65 ] , [ 49, 8, 0, 25 ] , [ 67, 64, 0, 43 ]

72B¹³ 192 1 16 0 0 [ 1, 9, 45, 46 ] , [ 1, 48, 0, 1 ] , [ 13, 40, 36, 61 ] , [ 19, 0, 36, 19 ] , [ 37, 0, 36, 37 ] , [ 37, 16, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] , [ 49, 0, 0, 25 ] , [ 49, 16, 0, 25 ] , [ 65, 52, 36, 41 ]

72C¹³ 192 1 32 0 6 [ 1, 8, 24, 49 ] , [ 1, 48, 0, 1 ] , [ 1, 61, 9, 46 ] , [ 7, 16, 12, 7 ] , [ 17, 32, 60, 41 ] , [ 25, 0, 0, 49 ] , [ 31, 48, 36, 7 ] , [ 37, 0, 36, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 36, 36, 25 ] , [ 55, 60, 0, 55 ]

72D¹³ 192 1 32 0 6 [ 1, 8, 24, 49 ] , [ 1, 40, 48, 49 ] , [ 1, 48, 0, 1 ] , [ 1, 61, 9, 46 ] , [ 25, 0, 0, 49 ] , [ 25, 4, 12, 25 ] , [ 37, 0, 36, 37 ] , [ 41, 56, 24, 17 ] , [ 49, 0, 0, 25 ] , [ 49, 36, 36, 25 ] , [ 71, 64, 48, 23 ]

72E¹³ 192 1 64 0 0 [ 1, 24, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 9, 37 ] , [ 25, 0, 0, 49 ] , [ 25, 48, 0, 49 ] , [ 37, 9, 9, 10 ] , [ 49, 24, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 0, 41 ]

72F¹³ 216 1 18 12 0 [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 0, 36, 17 ] , [ 19, 54, 36, 19 ] , [ 23, 66, 48, 47 ] , [ 25, 46, 22, 29 ] , [ 29, 26, 50, 25 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 22, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 27, 0, 55 ]

72G¹³ 216 1 18 12 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 24, 0, 31 ] , [ 11, 32, 44, 43 ] , [ 17, 0, 0, 17 ] , [ 41, 20, 68, 49 ] , [ 49, 13, 34, 59 ] , [ 49, 48, 0, 25 ] , [ 53, 23, 50, 19 ] , [ 61, 15, 54, 31 ] , [ 61, 60, 0, 13 ]

72H¹³ 216 1 18 12 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 58, 40, 17 ] , [ 7, 24, 0, 31 ] , [ 17, 0, 0, 17 ] , [ 17, 11, 62, 19 ] , [ 17, 20, 8, 1 ] , [ 49, 48, 0, 25 ] , [ 59, 20, 32, 67 ] , [ 61, 60, 0, 13 ] , [ 65, 32, 8, 25 ]

72I¹³ 216 1 27 16 0 [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 48, 24, 17 ] , [ 19, 30, 60, 19 ] , [ 25, 16, 16, 65 ] , [ 35, 55, 34, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 30, 12, 65 ] , [ 47, 24, 24, 23 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ]

72J¹³ 216 1 54 8 0 [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 4, 4, 17 ] , [ 1, 40, 34, 65 ] , [ 5, 6, 63, 47 ] , [ 5, 68, 8, 37 ] , [ 7, 4, 28, 47 ] , [ 7, 24, 48, 31 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ]

72K¹³ 216 1 54 8 0 [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 24, 48, 31 ] , [ 13, 4, 58, 29 ] , [ 13, 40, 28, 53 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 0, 36, 37 ] , [ 41, 42, 3, 47 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] , [ 59, 24, 60, 11 ]

72L¹³ 216 2 54 4 0 [ 1, 15, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 40, 2, 33 ] , [ 19, 18, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 6, 0, 49 ] , [ 27, 62, 46, 15 ] , [ 31, 6, 60, 7 ] , [ 37, 48, 24, 37 ] , [ 49, 24, 24, 25 ] , [ 57, 56, 22, 57 ] , [ 65, 48, 36, 41 ]

72M¹³ 216 2 54 16 0 [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 37, 36, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 64, 27, 45, 28 ] , [ 65, 24, 24, 41 ]

72N¹³ 216 2 54 16 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 2, 8, 1 ] , [ 17, 38, 8, 1 ] , [ 17, 60, 48, 17 ] , [ 19, 45, 18, 1 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 44, 56, 53 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ]

72O¹³ 216 2 54 16 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 20, 44, 1 ] , [ 17, 56, 44, 1 ] , [ 25, 0, 24, 49 ] , [ 27, 17, 46, 69 ] , [ 37, 36, 0, 37 ] , [ 41, 32, 20, 49 ] , [ 45, 26, 64, 69 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ]

72P¹³ 216 2 54 16 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 2, 8, 1 ] , [ 17, 38, 8, 1 ] , [ 17, 60, 48, 17 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 45, 8, 28, 69 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ] , [ 71, 65, 62, 1 ]

72Q¹³ 288 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 17, 52, 36, 17 ] , [ 17, 70, 36, 17 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]

72R¹³ 288 1 12 0 0 [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]

72S¹³ 288 1 24 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 25, 8, 0, 49 ] , [ 35, 24, 0, 35 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 60, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 65, 51, 0, 41 ]

72T¹³ 288 1 48 0 0 [ 1, 18, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 27, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 19, 30, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 29, 50, 0, 5 ] , [ 49, 0, 0, 25 ] , [ 53, 44, 0, 53 ]

72U¹³ 288 1 48 0 0 [ 1, 18, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 17, 62, 0, 17 ] , [ 19, 63, 0, 19 ] , [ 37, 45, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 55, 12, 0, 55 ] , [ 65, 32, 0, 41 ]

72V¹³ 288 1 48 0 0 [ 1, 0, 36, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]

72W¹³ 288 1 48 0 0 [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 70, 36, 17 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 37, 36, 36, 37 ] , [ 49, 64, 0, 25 ] , [ 71, 52, 0, 71 ]

^ Level 73 Name Index con len c₂ c₃ > SL(2,Z/73Z) Matrix Generators

73A¹³ 222 1 74 6 6 [ 38, 24, 30, 67 ] , [ 39, 57, 72, 36 ] , [ 47, 38, 11, 26 ] , [ 55, 23, 66, 17 ] , [ 71, 30, 19, 43 ] , [ 72, 0, 0, 72 ]

^ Level 74 Name Index con len c₂ c₃ > SL(2,Z/74Z) Matrix Generators

74A¹³ 228 1 38 0 12 [ 1, 37, 37, 38 ] , [ 7, 16, 52, 45 ] , [ 29, 18, 40, 7 ] , [ 67, 18, 40, 45 ] , [ 67, 26, 26, 9 ]

^ Level 75 Name Index con len c₂ c₃ > SL(2,Z/75Z) Matrix Generators

75A¹³ 180 1 90 4 0 [ 16, 0, 15, 61 ] , [ 31, 15, 15, 46 ] , [ 44, 45, 0, 29 ] , [ 56, 15, 15, 71 ] , [ 63, 58, 5, 57 ] , [ 67, 3, 3, 55 ] , [ 73, 3, 0, 37 ]

75B¹³ 180 1 90 4 0 [ 16, 15, 0, 61 ] , [ 19, 51, 33, 61 ] , [ 43, 6, 51, 49 ] , [ 56, 62, 14, 49 ] , [ 61, 30, 30, 16 ] , [ 64, 60, 30, 34 ] , [ 74, 69, 24, 68 ]

75C¹³ 180 1 90 4 0 [ 19, 63, 21, 46 ] , [ 22, 18, 48, 70 ] , [ 26, 0, 0, 26 ] , [ 31, 0, 30, 46 ] , [ 31, 15, 15, 46 ] , [ 34, 45, 15, 64 ] , [ 61, 25, 10, 41 ]

75D¹³ 180 1 90 4 0 [ 1, 26, 26, 2 ] , [ 16, 15, 0, 61 ] , [ 20, 12, 72, 62 ] , [ 25, 27, 12, 7 ] , [ 46, 60, 60, 31 ] , [ 49, 60, 15, 49 ] , [ 70, 39, 66, 70 ]

^ Level 77 Name Index con len c₂ c₃ > SL(2,Z/77Z) Matrix Generators

77A¹³ 168 2 84 0 0 [ 23, 22, 11, 34 ] , [ 34, 0, 0, 34 ] , [ 45, 33, 33, 67 ] , [ 62, 21, 56, 55 ] , [ 67, 11, 22, 45 ] , [ 69, 49, 63, 76 ] , [ 76, 0, 0, 76 ]

77B¹³ 192 1 96 0 0 [ 1, 66, 55, 12 ] , [ 8, 56, 28, 71 ] , [ 15, 14, 35, 43 ] , [ 45, 33, 44, 34 ] , [ 76, 0, 0, 76 ]

^ Level 78 Name Index con len c₂ c₃ > SL(2,Z/78Z) Matrix Generators

78A¹³ 168 1 14 0 0 [ 1, 72, 18, 49 ] , [ 27, 52, 26, 27 ] , [ 31, 72, 42, 7 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]

78B¹³ 168 1 42 0 0 [ 1, 26, 65, 53 ] , [ 7, 6, 36, 31 ] , [ 31, 32, 14, 17 ] , [ 31, 54, 48, 61 ] , [ 40, 39, 39, 1 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ]

78C¹³ 168 1 42 0 0 [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 31, 72, 42, 7 ] , [ 43, 30, 66, 37 ] , [ 47, 56, 26, 31 ] , [ 53, 0, 0, 53 ] , [ 77, 0, 0, 77 ]

78D¹³ 168 1 42 0 0 [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 43, 54, 48, 73 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 65, 1 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]

78E¹³ 168 1 42 0 0 [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 43, 54, 48, 73 ] , [ 43, 72, 12, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]

78F¹³ 224 1 56 0 8 [ 1, 0, 52, 1 ] , [ 7, 6, 36, 31 ] , [ 11, 36, 76, 29 ] , [ 19, 24, 6, 61 ] , [ 37, 75, 76, 55 ] , [ 40, 39, 39, 1 ]

78G¹³ 224 1 56 0 8 [ 1, 0, 26, 1 ] , [ 1, 0, 52, 1 ] , [ 7, 6, 10, 31 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ]

78H¹³ 252 1 42 24 0 [ 1, 26, 65, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 13, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 60, 49 ] , [ 73, 18, 24, 7 ]

^ Level 80 Name Index con len c₂ c₃ > SL(2,Z/80Z) Matrix Generators

80A¹³ 192 2 48 8 0 [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 24, 51, 53, 16 ] , [ 26, 5, 45, 21 ] , [ 41, 40, 0, 41 ] , [ 61, 60, 40, 21 ] , [ 65, 8, 48, 33 ] , [ 65, 32, 32, 17 ] , [ 79, 0, 0, 79 ]

80B¹³ 192 2 48 8 0 [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 24, 51, 53, 16 ] , [ 26, 5, 45, 21 ] , [ 41, 40, 0, 41 ] , [ 61, 60, 40, 21 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 79, 0, 0, 79 ]

80C¹³ 288 1 18 32 0 [ 1, 40, 40, 1 ] , [ 3, 42, 42, 55 ] , [ 16, 37, 19, 64 ] , [ 17, 48, 48, 65 ] , [ 33, 16, 16, 49 ] , [ 49, 0, 0, 49 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 44, 44, 13 ] , [ 71, 60, 60, 71 ] , [ 79, 0, 0, 79 ]

80D¹³ 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 9, 50, 70, 69 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 40, 49 ] , [ 61, 20, 60, 21 ]

80E¹³ 288 1 36 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ]

80F¹³ 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 54, 55, 65, 4 ]

80G¹³ 288 1 72 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ]

80H¹³ 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 31, 13, 6 ] , [ 54, 63, 61, 46 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ]

80I¹³ 288 1 72 8 0 [ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 33, 32, 32, 65 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 63, 61, 46 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ]

^ Level 81 Name Index con len c₂ c₃ > SL(2,Z/81Z) Matrix Generators

81A¹³ 324 2 36 0 0 [ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 16, 63, 53, 67 ] , [ 35, 0, 0, 44 ] , [ 46, 27, 51, 37 ] , [ 55, 0, 0, 28 ] , [ 58, 45, 79, 25 ] , [ 64, 0, 0, 19 ]

^ Level 82 Name Index con len c₂ c₃ > SL(2,Z/82Z) Matrix Generators

82A¹³ 168 1 42 0 0 [ 1, 41, 41, 42 ] , [ 13, 18, 74, 71 ] , [ 47, 16, 72, 35 ] , [ 71, 62, 74, 45 ] , [ 81, 0, 0, 81 ]

^ Level 84 Name Index con len c₂ c₃ > SL(2,Z/84Z) Matrix Generators

84A¹³ 168 2 56 0 3 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 12, 24, 1 ] , [ 43, 72, 60, 79 ] , [ 49, 12, 60, 49 ] , [ 49, 36, 48, 13 ] , [ 61, 36, 72, 37 ]

84B¹³ 168 2 84 0 0 [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 42, 43 ] , [ 13, 0, 0, 13 ] , [ 25, 15, 60, 73 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 42, 71 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ]

84C¹³ 168 2 84 0 0 [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 42, 43 ] , [ 13, 0, 0, 13 ] , [ 25, 36, 60, 73 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 42, 71 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ]

84D¹³ 168 2 168 0 3 [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 29, 28, 70, 1 ] , [ 37, 72, 0, 25 ] , [ 43, 63, 77, 64 ] , [ 49, 12, 60, 49 ] , [ 61, 72, 60, 13 ] , [ 71, 28, 70, 43 ]

84E¹³ 192 1 64 0 6 [ 1, 24, 36, 25 ] , [ 1, 28, 28, 29 ] , [ 1, 56, 56, 29 ] , [ 13, 24, 72, 49 ] , [ 22, 21, 77, 1 ] , [ 29, 0, 0, 29 ] , [ 57, 28, 56, 57 ] , [ 71, 28, 28, 43 ] , [ 73, 24, 36, 13 ]

84F¹³ 192 1 96 0 0 [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 0, 63, 13 ] , [ 13, 42, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 37, 60, 0, 25 ] , [ 41, 0, 56, 41 ] , [ 43, 0, 42, 43 ]

84G¹³ 192 1 96 0 0 [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 29, 0, 56, 29 ] , [ 37, 60, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 63, 1 ]

84H¹³ 192 1 192 0 6 [ 1, 14, 56, 29 ] , [ 1, 77, 21, 22 ] , [ 15, 56, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 41, 0, 0, 41 ] , [ 49, 36, 48, 13 ] , [ 61, 48, 72, 25 ]

84I¹³ 192 2 32 0 6 [ 1, 28, 28, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 44, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 0, 0, 43 ] , [ 61, 48, 72, 25 ]

84J¹³ 252 1 84 30 0 [ 13, 0, 0, 13 ] , [ 15, 7, 14, 57 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 24, 36, 37 ] , [ 49, 12, 60, 49 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ]

84K¹³ 256 1 32 0 16 [ 1, 0, 28, 1 ] , [ 1, 42, 42, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 24, 72, 49 ] , [ 37, 12, 60, 49 ] , [ 41, 0, 42, 41 ] , [ 43, 0, 42, 43 ]

^ Level 85 Name Index con len c₂ c₃ > SL(2,Z/85Z) Matrix Generators

85A¹³ 180 1 90 4 0 [ 1, 0, 15, 1 ] , [ 1, 68, 51, 69 ] , [ 16, 0, 0, 16 ] , [ 35, 51, 34, 69 ] , [ 52, 51, 0, 18 ] , [ 69, 0, 0, 69 ] , [ 76, 0, 5, 66 ] , [ 81, 0, 30, 21 ]

85B¹³ 180 1 180 4 0 [ 1, 0, 45, 1 ] , [ 14, 34, 46, 45 ] , [ 16, 0, 0, 16 ] , [ 26, 0, 55, 36 ] , [ 35, 17, 17, 35 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ]

85C¹³ 216 1 108 8 0 [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 36, 51, 0, 26 ] , [ 52, 51, 0, 18 ] , [ 69, 51, 0, 69 ]

^ Level 87 Name Index con len c₂ c₃ > SL(2,Z/87Z) Matrix Generators

87A¹³ 180 1 90 4 0 [ 13, 54, 57, 16 ] , [ 28, 0, 0, 28 ] , [ 55, 54, 12, 64 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 58, 1 ] , [ 76, 48, 84, 13 ]

^ Level 89 Name Index con len c₂ c₃ > SL(2,Z/89Z) Matrix Generators

89A¹³ 180 1 90 4 0 [ 29, 71, 4, 62 ] , [ 31, 23, 12, 52 ] , [ 33, 59, 50, 22 ] , [ 80, 40, 17, 43 ]

^ Level 90 Name Index con len c₂ c₃ > SL(2,Z/90Z) Matrix Generators

90A¹³ 180 1 90 4 0 [ 1, 0, 30, 1 ] , [ 9, 10, 35, 9 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 37, 18, 36, 37 ] , [ 46, 15, 15, 1 ] , [ 46, 45, 45, 1 ] , [ 71, 60, 30, 71 ] , [ 73, 0, 18, 37 ]

90B¹³ 180 1 90 8 0 [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 25, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 77 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ]

90C¹³ 180 1 180 4 0 [ 9, 10, 35, 9 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 15, 15, 16 ] , [ 31, 45, 75, 16 ] , [ 37, 18, 36, 37 ] , [ 61, 0, 0, 31 ] , [ 71, 60, 30, 71 ] , [ 73, 0, 18, 37 ]

90D¹³ 180 1 180 8 0 [ 16, 15, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 37, 0, 54, 73 ] , [ 41, 30, 30, 11 ] , [ 55, 72, 72, 19 ] , [ 61, 30, 30, 31 ] , [ 81, 25, 50, 81 ] , [ 89, 68, 68, 55 ]

90E¹³ 216 1 54 16 0 [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 61, 0, 60, 31 ] , [ 61, 60, 0, 31 ] , [ 71, 30, 60, 71 ] , [ 71, 80, 20, 1 ] , [ 89, 22, 49, 1 ] , [ 89, 30, 60, 89 ]

90F¹³ 216 1 108 8 0 [ 1, 45, 45, 46 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 30, 30, 61 ] , [ 55, 18, 18, 37 ] , [ 55, 36, 9, 55 ] , [ 71, 80, 20, 1 ]

90G¹³ 216 1 108 8 0 [ 1, 0, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 80, 35, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 72, 1 ] , [ 61, 30, 0, 31 ] , [ 71, 0, 60, 71 ] , [ 73, 54, 54, 19 ] , [ 89, 0, 0, 89 ]

90H¹³ 216 1 108 16 0 [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 79, 22, 49, 41 ] , [ 81, 40, 20, 81 ]

90I¹³ 216 1 216 8 0 [ 1, 80, 35, 11 ] , [ 14, 45, 75, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 72, 1 ] , [ 61, 30, 0, 31 ] , [ 61, 45, 45, 76 ] , [ 61, 45, 75, 76 ] , [ 73, 54, 54, 19 ] , [ 86, 45, 45, 11 ]

^ Level 91 Name Index con len c₂ c₃ > SL(2,Z/91Z) Matrix Generators

91A¹³ 196 2 98 4 4 [ 14, 78, 13, 14 ] , [ 18, 44, 2, 10 ] , [ 19, 4, 46, 72 ] , [ 27, 0, 0, 27 ] , [ 66, 26, 26, 53 ] , [ 66, 78, 0, 40 ] , [ 72, 70, 64, 18 ] , [ 90, 0, 0, 90 ]

91B¹³ 224 1 112 0 8 [ 1, 0, 78, 1 ] , [ 27, 0, 0, 27 ] , [ 64, 0, 0, 64 ] , [ 64, 56, 77, 29 ] , [ 71, 7, 70, 71 ] , [ 79, 0, 78, 53 ]

^ Level 96 Name Index con len c₂ c₃ > SL(2,Z/96Z) Matrix Generators

96A¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 11, 30, 74, 71 ] , [ 22, 39, 9, 64 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 90, 7 ] , [ 49, 48, 48, 49 ] , [ 67, 42, 54, 31 ]

96B¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 64, 45, 27, 70 ] , [ 67, 42, 54, 31 ] , [ 86, 39, 41, 32 ]

96C¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 64 ] , [ 22, 39, 9, 64 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 64, 51, 69, 10 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]

96D¹³ 192 1 24 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 64, 45, 27, 70 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]

96E¹³ 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 42, 7 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 67, 42, 54, 31 ] , [ 86, 39, 41, 32 ]

96F¹³ 192 1 48 0 0 [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 42, 7 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]

96G¹³ 288 1 36 40 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 7, 44, 50, 95 ] , [ 33, 2, 31, 63 ] , [ 33, 32, 64, 33 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ]

96H¹³ 288 2 36 40 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 72, 1 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ]

96I¹³ 384 1 24 0 0 [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 21, 94 ] , [ 7, 54, 42, 91 ] , [ 13, 12, 84, 85 ] , [ 29, 54, 90, 65 ] , [ 44, 9, 63, 50 ] , [ 49, 48, 48, 49 ] , [ 67, 42, 6, 31 ] , [ 73, 72, 24, 25 ]

^ Level 97 Name Index con len c₂ c₃ > SL(2,Z/97Z) Matrix Generators

97A¹³ 196 1 98 4 4 [ 17, 90, 92, 82 ] , [ 31, 1, 74, 65 ] , [ 32, 1, 74, 66 ] , [ 47, 13, 89, 4 ] , [ 51, 95, 46, 80 ] , [ 84, 29, 12, 3 ]

^ Level 100 Name Index con len c₂ c₃ > SL(2,Z/100Z) Matrix Generators

100A¹³ 180 1 90 0 0 [ 1, 0, 50, 1 ] , [ 5, 72, 72, 17 ] , [ 7, 8, 13, 15 ] , [ 21, 60, 60, 81 ] , [ 41, 0, 40, 61 ] , [ 51, 0, 50, 51 ] , [ 53, 48, 20, 37 ] , [ 89, 0, 40, 9 ]

100B¹³ 180 1 90 0 0 [ 1, 0, 50, 1 ] , [ 11, 64, 7, 59 ] , [ 21, 52, 4, 29 ] , [ 21, 60, 60, 81 ] , [ 49, 0, 0, 49 ] , [ 51, 0, 50, 51 ] , [ 65, 32, 72, 97 ] , [ 81, 80, 0, 21 ]

100C¹³ 180 1 90 0 0 [ 3, 96, 6, 59 ] , [ 21, 60, 60, 81 ] , [ 49, 56, 88, 21 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 73, 32, 22, 85 ] , [ 81, 0, 80, 21 ] , [ 83, 72, 67, 75 ] , [ 85, 52, 72, 57 ] , [ 85, 72, 52, 57 ]

100D¹³ 180 1 90 0 0 [ 1, 0, 50, 1 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 37, 80, 92, 53 ] , [ 49, 40, 60, 49 ] , [ 51, 0, 50, 51 ] , [ 85, 32, 92, 97 ] , [ 97, 40, 77, 73 ]

100E¹³ 180 1 90 4 0 [ 1, 0, 50, 1 ] , [ 5, 72, 72, 17 ] , [ 21, 60, 60, 81 ] , [ 41, 0, 40, 61 ] , [ 51, 0, 50, 51 ] , [ 53, 48, 20, 37 ] , [ 85, 82, 17, 87 ] , [ 89, 0, 40, 9 ]

100F¹³ 180 1 90 4 0 [ 1, 0, 50, 1 ] , [ 21, 52, 4, 29 ] , [ 21, 60, 60, 81 ] , [ 25, 86, 59, 95 ] , [ 49, 0, 0, 49 ] , [ 51, 0, 50, 51 ] , [ 65, 32, 72, 97 ] , [ 81, 80, 0, 21 ]

100G¹³ 180 1 90 4 0 [ 3, 96, 6, 59 ] , [ 21, 60, 60, 81 ] , [ 33, 22, 67, 75 ] , [ 49, 56, 88, 21 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 73, 32, 22, 85 ] , [ 81, 0, 80, 21 ] , [ 85, 52, 72, 57 ] , [ 85, 72, 52, 57 ]

100H¹³ 180 1 90 4 0 [ 1, 0, 50, 1 ] , [ 7, 78, 33, 25 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 37, 80, 92, 53 ] , [ 49, 40, 60, 49 ] , [ 51, 0, 50, 51 ] , [ 85, 32, 92, 97 ]

100I¹³ 240 1 120 8 0 [ 1, 34, 57, 39 ] , [ 13, 16, 16, 89 ] , [ 51, 0, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 79, 80, 0, 19 ]

100J¹³ 360 1 18 0 0 [ 1, 56, 66, 97 ] , [ 5, 12, 32, 97 ] , [ 21, 0, 20, 81 ] , [ 25, 88, 48, 73 ] , [ 63, 96, 86, 39 ] , [ 77, 8, 28, 25 ] , [ 81, 40, 40, 21 ] , [ 81, 40, 65, 21 ]

^ Level 102 Name Index con len c₂ c₃ > SL(2,Z/102Z) Matrix Generators

102A¹³ 216 1 54 16 0 [ 1, 0, 90, 1 ] , [ 18, 85, 17, 69 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 52, 85, 85, 86 ] , [ 55, 0, 48, 13 ] , [ 67, 0, 0, 67 ] , [ 83, 51, 42, 59 ]

102B¹³ 216 1 54 16 0 [ 1, 0, 6, 1 ] , [ 1, 34, 34, 35 ] , [ 1, 51, 51, 52 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 0, 25 ] , [ 55, 0, 48, 13 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 17, 69 ]

^ Level 104 Name Index con len c₂ c₃ > SL(2,Z/104Z) Matrix Generators

104A¹³ 168 1 42 0 0 [ 1, 0, 52, 1 ] , [ 9, 4, 8, 73 ] , [ 9, 8, 0, 81 ] , [ 23, 66, 69, 85 ] , [ 25, 80, 96, 41 ] , [ 25, 96, 62, 1 ] , [ 27, 0, 52, 27 ] , [ 41, 88, 48, 65 ] , [ 53, 0, 0, 53 ]

104B¹³ 168 1 42 0 0 [ 1, 0, 52, 1 ] , [ 9, 8, 0, 81 ] , [ 25, 80, 96, 41 ] , [ 27, 0, 52, 27 ] , [ 41, 88, 48, 65 ] , [ 49, 40, 56, 33 ] , [ 49, 44, 22, 41 ] , [ 53, 0, 0, 53 ] , [ 79, 26, 13, 53 ]

104C¹³ 224 1 56 8 8 [ 1, 65, 13, 14 ] , [ 35, 62, 101, 69 ] , [ 41, 88, 48, 65 ] , [ 49, 96, 48, 41 ] , [ 53, 0, 52, 53 ] , [ 53, 52, 0, 53 ] , [ 83, 94, 89, 77 ] , [ 103, 0, 0, 103 ]

104D¹³ 224 1 56 8 8 [ 1, 65, 13, 14 ] , [ 35, 62, 49, 69 ] , [ 41, 88, 48, 65 ] , [ 49, 96, 48, 41 ] , [ 53, 0, 52, 53 ] , [ 53, 52, 0, 53 ] , [ 81, 16, 28, 89 ] , [ 103, 0, 0, 103 ]

104E¹³ 224 2 56 8 8 [ 9, 8, 0, 81 ] , [ 15, 2, 13, 85 ] , [ 17, 96, 0, 49 ] , [ 33, 8, 80, 73 ] , [ 53, 0, 52, 53 ] , [ 53, 13, 13, 66 ] , [ 53, 52, 0, 53 ] , [ 79, 52, 52, 79 ]

^ Level 105 Name Index con len c₂ c₃ > SL(2,Z/105Z) Matrix Generators

105A¹³ 168 2 168 0 0 [ 1, 0, 35, 1 ] , [ 1, 0, 84, 1 ] , [ 16, 30, 15, 61 ] , [ 46, 60, 0, 16 ] , [ 61, 90, 60, 61 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 83, 45, 39, 92 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ]

105B¹³ Γ₀(105) 192 1 192 0 0 [ 1, 0, 30, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 63, 21, 64 ] , [ 16, 0, 0, 46 ] , [ 34, 63, 42, 13 ] , [ 71, 0, 0, 71 ] , [ 85, 21, 84, 43 ] , [ 85, 84, 21, 22 ]

105C¹³ 210 2 70 18 0 [ 1, 35, 35, 71 ] , [ 1, 60, 45, 76 ] , [ 16, 30, 15, 61 ] , [ 46, 90, 45, 31 ] , [ 57, 7, 35, 78 ] , [ 64, 35, 35, 29 ] , [ 71, 0, 0, 71 ] , [ 71, 21, 42, 8 ] , [ 71, 35, 35, 1 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ]

^ Level 108 Name Index con len c₂ c₃ > SL(2,Z/108Z) Matrix Generators

108A¹³ 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 13, 72, 0, 25 ] , [ 25, 72, 76, 85 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 81, 1 ] , [ 71, 0, 30, 35 ] , [ 73, 0, 84, 37 ]

108B¹³ 216 1 36 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 81, 1 ] , [ 13, 0, 0, 25 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 60, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 0, 35 ] , [ 85, 36, 52, 97 ]

^ Level 110 Name Index con len c₂ c₃ > SL(2,Z/110Z) Matrix Generators

110A¹³ 165 2 165 3 0 [ 1, 22, 44, 89 ] , [ 1, 55, 0, 1 ] , [ 17, 58, 96, 17 ] , [ 67, 0, 88, 23 ] , [ 67, 22, 44, 67 ] , [ 73, 25, 42, 37 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ]

^ Level 112 Name Index con len c₂ c₃ > SL(2,Z/112Z) Matrix Generators

112A¹³ 168 2 42 0 0 [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 56, 57 ] , [ 15, 35, 56, 71 ] , [ 17, 80, 48, 81 ] , [ 29, 84, 0, 85 ] , [ 57, 56, 0, 57 ] , [ 65, 47, 80, 1 ] , [ 65, 48, 96, 33 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ]

112B¹³ 168 2 42 0 0 [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 56, 57 ] , [ 15, 35, 56, 71 ] , [ 17, 80, 48, 81 ] , [ 29, 84, 0, 85 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ]

112C¹³ 192 1 48 0 0 [ 1, 0, 56, 1 ] , [ 17, 32, 98, 33 ] , [ 29, 104, 66, 5 ] , [ 33, 64, 32, 1 ] , [ 57, 0, 56, 57 ] , [ 65, 72, 72, 97 ] , [ 65, 96, 4, 49 ] , [ 65, 96, 32, 49 ] , [ 85, 84, 91, 57 ] , [ 91, 108, 93, 71 ]

112D¹³ 192 1 48 0 0 [ 1, 0, 56, 1 ] , [ 29, 104, 66, 5 ] , [ 33, 64, 32, 1 ] , [ 49, 80, 16, 1 ] , [ 49, 88, 26, 97 ] , [ 51, 12, 11, 7 ] , [ 57, 0, 56, 57 ] , [ 65, 96, 4, 49 ] , [ 65, 96, 32, 49 ] , [ 93, 68, 109, 105 ]

^ Level 116 Name Index con len c₂ c₃ > SL(2,Z/116Z) Matrix Generators

116A¹³ Γ₀(116) 180 1 90 0 0 [ 1, 0, 58, 1 ] , [ 33, 104, 8, 85 ] , [ 57, 0, 0, 57 ] , [ 57, 68, 60, 37 ] , [ 59, 0, 29, 59 ] , [ 59, 0, 58, 59 ] , [ 109, 76, 52, 65 ]

116B¹³ 180 1 90 4 0 [ 1, 0, 58, 1 ] , [ 1, 58, 29, 59 ] , [ 33, 104, 8, 85 ] , [ 57, 0, 0, 57 ] , [ 57, 68, 60, 37 ] , [ 59, 0, 58, 59 ] , [ 109, 76, 52, 65 ]

^ Level 117 Name Index con len c₂ c₃ > SL(2,Z/117Z) Matrix Generators

117A¹³ 168 1 56 0 0 [ 1, 78, 0, 1 ] , [ 20, 45, 9, 32 ] , [ 37, 6, 45, 1 ] , [ 37, 110, 6, 40 ] , [ 55, 45, 99, 64 ] , [ 79, 0, 0, 40 ] , [ 92, 39, 0, 14 ] , [ 103, 0, 0, 25 ]

117B¹³ 168 2 56 0 0 [ 1, 78, 0, 1 ] , [ 20, 45, 9, 32 ] , [ 37, 110, 6, 40 ] , [ 40, 20, 72, 115 ] , [ 55, 45, 99, 64 ] , [ 79, 0, 0, 40 ] , [ 92, 39, 0, 14 ] , [ 103, 0, 0, 25 ]

^ Level 120 Name Index con len c₂ c₃ > SL(2,Z/120Z) Matrix Generators

120A¹³ 180 1 30 6 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 30, 105, 31 ] , [ 1, 48, 96, 49 ] , [ 9, 80, 10, 9 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 89, 40, 100, 49 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ]

120B¹³ 180 1 45 8 0 [ 1, 0, 60, 1 ] , [ 1, 30, 75, 91 ] , [ 1, 48, 96, 49 ] , [ 9, 20, 70, 9 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 90, 45, 31 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ] , [ 101, 50, 95, 91 ]

120C¹³ 180 1 90 6 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 48, 96, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 110, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 90, 45, 31 ] , [ 69, 50, 55, 99 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ]

120D¹³ 180 2 30 6 0 [ 1, 0, 30, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 80, 80, 41 ] , [ 1, 90, 15, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 80, 40, 81 ] , [ 91, 0, 60, 91 ] , [ 97, 48, 56, 97 ]

120E¹³ 216 1 36 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 40, 40, 41 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 12, 60, 97 ] , [ 91, 0, 60, 91 ]

120F¹³ 216 1 36 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 40, 40, 41 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ]

120G¹³ 216 1 54 16 0 [ 1, 0, 60, 1 ] , [ 1, 40, 40, 41 ] , [ 1, 60, 30, 1 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 12, 60, 97 ] , [ 91, 0, 60, 91 ]

120H¹³ 216 1 54 16 0 [ 1, 0, 60, 1 ] , [ 1, 60, 30, 1 ] , [ 1, 100, 100, 41 ] , [ 31, 90, 45, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ]

120I¹³ 216 1 108 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 100, 100, 41 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 112, 40, 17 ] , [ 91, 0, 60, 91 ]

120J¹³ 216 1 108 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 100, 100, 41 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ]

120K¹³ 216 2 18 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 31, 60, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 61, 0, 0, 61 ] , [ 73, 24, 24, 49 ] , [ 73, 108, 108, 25 ] , [ 81, 80, 100, 81 ] , [ 91, 78, 66, 79 ] , [ 97, 96, 81, 1 ]

120L¹³ 216 2 54 12 0 [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 17, 56, 56, 1 ] , [ 31, 60, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 57, 56, 76, 81 ] , [ 61, 0, 0, 61 ] , [ 73, 24, 24, 49 ] , [ 73, 108, 108, 25 ] , [ 91, 78, 66, 79 ] , [ 97, 96, 81, 1 ]

^ Level 123 Name Index con len c₂ c₃ > SL(2,Z/123Z) Matrix Generators

123A¹³ Γ₀(123) 168 1 168 0 0 [ 1, 3, 0, 1 ] , [ 1, 41, 82, 42 ] , [ 10, 24, 0, 37 ] , [ 27, 50, 82, 38 ] , [ 32, 52, 41, 9 ] , [ 81, 41, 82, 122 ] , [ 83, 0, 0, 83 ]

^ Level 126 Name Index con len c₂ c₃ > SL(2,Z/126Z) Matrix Generators

126A¹³ 168 2 28 0 0 [ 1, 56, 0, 1 ] , [ 1, 63, 63, 64 ] , [ 1, 84, 0, 1 ] , [ 37, 90, 54, 19 ] , [ 43, 84, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 71, 0, 0, 71 ] , [ 71, 27, 72, 125 ] , [ 73, 54, 108, 73 ]

126B¹³ 168 2 28 0 0 [ 1, 56, 0, 1 ] , [ 1, 63, 63, 64 ] , [ 1, 84, 0, 1 ] , [ 1, 90, 72, 55 ] , [ 37, 90, 54, 19 ] , [ 43, 84, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ]

126C¹³ 168 2 56 0 3 [ 1, 54, 36, 55 ] , [ 1, 84, 0, 1 ] , [ 10, 89, 45, 73 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 90, 72, 1 ] , [ 73, 9, 123, 10 ] , [ 73, 72, 18, 73 ] , [ 95, 72, 18, 11 ]

126D¹³ 192 1 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 49, 64 ] , [ 1, 90, 10, 19 ] , [ 22, 63, 77, 43 ] , [ 29, 63, 42, 113 ] , [ 64, 63, 63, 1 ] , [ 73, 108, 36, 55 ] , [ 85, 0, 0, 43 ] , [ 118, 63, 119, 118 ]

126E¹³ 192 1 32 0 0 [ 1, 0, 42, 1 ] , [ 1, 63, 49, 64 ] , [ 1, 90, 10, 19 ] , [ 22, 63, 77, 43 ] , [ 29, 63, 105, 50 ] , [ 64, 63, 63, 1 ] , [ 73, 108, 36, 55 ] , [ 85, 0, 0, 43 ] , [ 118, 63, 119, 55 ]

126F¹³ 192 1 64 0 6 [ 1, 0, 84, 1 ] , [ 1, 42, 98, 85 ] , [ 1, 90, 108, 19 ] , [ 37, 54, 18, 91 ] , [ 43, 0, 42, 85 ] , [ 73, 18, 0, 19 ] , [ 85, 105, 63, 106 ] , [ 92, 63, 91, 113 ]

126G¹³ 192 2 32 0 6 [ 1, 0, 42, 1 ] , [ 1, 0, 84, 1 ] , [ 1, 63, 63, 64 ] , [ 41, 21, 91, 62 ] , [ 43, 0, 0, 85 ] , [ 43, 84, 70, 43 ] , [ 55, 63, 84, 55 ] , [ 109, 36, 54, 19 ] , [ 112, 99, 55, 97 ]

126H¹³ 192 2 32 0 6 [ 1, 0, 42, 1 ] , [ 1, 0, 84, 1 ] , [ 1, 63, 63, 64 ] , [ 43, 0, 0, 85 ] , [ 43, 84, 70, 43 ] , [ 55, 63, 21, 118 ] , [ 109, 36, 54, 19 ] , [ 112, 99, 55, 97 ] , [ 113, 84, 112, 71 ]

126I¹³ 192 2 64 0 6 [ 1, 0, 84, 1 ] , [ 1, 27, 45, 82 ] , [ 10, 81, 63, 19 ] , [ 37, 54, 18, 91 ] , [ 43, 0, 42, 85 ] , [ 43, 90, 38, 103 ] , [ 85, 6, 108, 61 ] , [ 92, 63, 91, 113 ]

126J¹³ 252 2 63 32 0 [ 1, 28, 112, 113 ] , [ 1, 63, 63, 64 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 84, 84, 43 ] , [ 111, 64, 89, 15 ] , [ 113, 42, 42, 29 ]

126K¹³ 252 2 63 32 0 [ 29, 84, 84, 113 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 43, 56, 56, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 64, 63, 63, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 84, 84, 43 ] , [ 111, 64, 89, 15 ]

^ Level 128 Name Index con len c₂ c₃ > SL(2,Z/128Z) Matrix Generators

128A¹³ 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 17, 32, 64, 113 ] , [ 31, 22, 98, 115 ] , [ 33, 64, 0, 97 ] , [ 33, 96, 32, 97 ] , [ 41, 120, 72, 89 ] , [ 45, 4, 92, 85 ] , [ 55, 66, 110, 11 ] , [ 65, 64, 64, 65 ] , [ 81, 112, 16, 49 ] , [ 105, 16, 96, 89 ] , [ 109, 90, 118, 81 ] , [ 124, 25, 63, 22 ]

128B¹³ 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 17, 32, 64, 113 ] , [ 31, 22, 98, 115 ] , [ 33, 64, 0, 97 ] , [ 33, 96, 32, 97 ] , [ 41, 120, 72, 89 ] , [ 45, 4, 92, 85 ] , [ 55, 66, 110, 11 ] , [ 65, 64, 64, 65 ] , [ 81, 112, 16, 49 ] , [ 105, 16, 96, 89 ] , [ 114, 97, 23, 60 ] , [ 124, 25, 63, 86 ]

128C¹³ 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 8, 33, 111, 26 ] , [ 21, 44, 84, 109 ] , [ 22, 39, 65, 92 ] , [ 33, 96, 32, 97 ] , [ 45, 68, 28, 85 ] , [ 55, 34, 14, 11 ] , [ 65, 64, 64, 65 ] , [ 75, 22, 106, 55 ] , [ 81, 48, 80, 49 ] , [ 89, 8, 56, 41 ] , [ 105, 88, 40, 25 ] , [ 127, 0, 0, 127 ]

128D¹³ 192 1 24 0 0 [ 1, 64, 64, 1 ] , [ 8, 33, 111, 26 ] , [ 21, 44, 84, 109 ] , [ 25, 12, 108, 57 ] , [ 33, 96, 32, 97 ] , [ 45, 68, 28, 85 ] , [ 55, 34, 14, 11 ] , [ 65, 64, 64, 65 ] , [ 75, 22, 106, 55 ] , [ 81, 48, 80, 49 ] , [ 89, 8, 56, 41 ] , [ 105, 88, 40, 25 ] , [ 127, 0, 0, 127 ]

128E¹³ 384 1 12 0 0 [ 1, 64, 64, 1 ] , [ 6, 123, 5, 124 ] , [ 11, 54, 74, 119 ] , [ 21, 108, 20, 109 ] , [ 25, 72, 120, 105 ] , [ 27, 14, 66, 39 ] , [ 33, 96, 32, 97 ] , [ 41, 88, 40, 89 ] , [ 57, 94, 82, 5 ] , [ 65, 64, 64, 65 ] , [ 77, 36, 60, 53 ] , [ 81, 112, 16, 49 ]

^ Level 129 Name Index con len c₂ c₃ > SL(2,Z/129Z) Matrix Generators

129A¹³ Γ₀(129) 176 1 176 0 2 [ 20, 87, 108, 128 ] , [ 26, 66, 33, 59 ] , [ 28, 54, 51, 103 ] , [ 44, 0, 0, 44 ] , [ 52, 59, 39, 79 ] , [ 128, 0, 0, 128 ]

^ Level 130 Name Index con len c₂ c₃ > SL(2,Z/130Z) Matrix Generators

130A¹³ 168 1 84 0 0 [ 1, 26, 0, 1 ] , [ 1, 65, 65, 66 ] , [ 31, 0, 115, 21 ] , [ 41, 16, 90, 51 ] , [ 51, 110, 80, 91 ] , [ 79, 0, 0, 79 ] , [ 101, 110, 110, 31 ] , [ 118, 91, 65, 92 ]

130B¹³ 168 1 84 0 0 [ 1, 26, 0, 1 ] , [ 1, 65, 65, 66 ] , [ 31, 0, 50, 21 ] , [ 41, 16, 90, 51 ] , [ 51, 110, 80, 91 ] , [ 79, 0, 0, 79 ] , [ 101, 110, 110, 31 ] , [ 118, 91, 65, 27 ]

^ Level 132 Name Index con len c₂ c₃ > SL(2,Z/132Z) Matrix Generators

132A¹³ 198 2 99 12 0 [ 1, 66, 66, 1 ] , [ 45, 22, 44, 45 ] , [ 56, 121, 55, 34 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 22, 1 ] , [ 109, 0, 0, 109 ] , [ 116, 81, 39, 50 ] , [ 130, 85, 31, 2 ]

^ Level 135 Name Index con len c₂ c₃ > SL(2,Z/135Z) Matrix Generators

135A¹³ 180 1 60 0 0 [ 28, 0, 0, 82 ] , [ 28, 84, 3, 91 ] , [ 31, 6, 12, 133 ] , [ 46, 90, 45, 91 ] , [ 55, 81, 54, 55 ] , [ 71, 116, 22, 93 ] , [ 91, 0, 45, 46 ] , [ 96, 65, 70, 1 ] , [ 106, 75, 15, 31 ] , [ 109, 0, 0, 109 ]

135B¹³ 180 1 60 0 6 [ 13, 39, 18, 106 ] , [ 28, 0, 0, 82 ] , [ 31, 105, 75, 106 ] , [ 38, 14, 58, 96 ] , [ 46, 96, 42, 73 ] , [ 51, 35, 130, 76 ] , [ 55, 81, 54, 55 ] , [ 91, 0, 45, 46 ] , [ 91, 45, 90, 46 ] , [ 109, 0, 0, 109 ]

135C¹³ 180 2 60 0 0 [ 28, 0, 0, 82 ] , [ 28, 84, 3, 91 ] , [ 31, 0, 15, 61 ] , [ 46, 90, 45, 91 ] , [ 55, 81, 54, 55 ] , [ 71, 116, 22, 93 ] , [ 91, 0, 45, 46 ] , [ 96, 65, 70, 1 ] , [ 106, 75, 15, 31 ] , [ 109, 0, 0, 109 ]

135D¹³ 180 2 60 0 6 [ 28, 0, 0, 82 ] , [ 28, 84, 3, 91 ] , [ 31, 6, 102, 133 ] , [ 31, 105, 75, 106 ] , [ 51, 35, 130, 76 ] , [ 55, 81, 54, 55 ] , [ 91, 0, 45, 46 ] , [ 91, 45, 90, 46 ] , [ 109, 0, 0, 109 ] , [ 116, 11, 112, 63 ]

135E¹³ Γ₀(135) 216 1 72 0 0 [ 1, 0, 45, 1 ] , [ 1, 0, 60, 1 ] , [ 4, 0, 80, 34 ] , [ 55, 27, 27, 82 ] , [ 56, 27, 59, 14 ] , [ 61, 0, 55, 31 ] , [ 61, 0, 105, 31 ] , [ 91, 0, 15, 46 ] , [ 91, 0, 90, 46 ] , [ 131, 0, 65, 101 ]

^ Level 143 Name Index con len c₂ c₃ > SL(2,Z/143Z) Matrix Generators

143A¹³ Γ₀(143) 168 1 168 0 0 [ 1, 0, 33, 1 ] , [ 1, 26, 120, 118 ] , [ 12, 0, 0, 12 ] , [ 34, 0, 77, 122 ] , [ 100, 0, 77, 133 ] , [ 131, 0, 0, 131 ] , [ 131, 78, 2, 118 ]

^ Level 144 Name Index con len c₂ c₃ > SL(2,Z/144Z) Matrix Generators

144A¹³ 216 1 54 20 0 [ 1, 72, 72, 1 ] , [ 37, 108, 108, 109 ] , [ 49, 96, 96, 97 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 73, 128, 128, 41 ] , [ 97, 0, 96, 49 ] , [ 101, 14, 134, 97 ] , [ 113, 48, 48, 65 ] , [ 119, 140, 44, 7 ] , [ 127, 72, 72, 127 ]

144B¹³ 216 1 54 20 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 37, 108, 108, 109 ] , [ 49, 96, 96, 97 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 101, 14, 134, 97 ] , [ 113, 48, 48, 65 ] , [ 119, 140, 44, 7 ] , [ 127, 72, 72, 127 ]

144C¹³ 216 1 108 20 0 [ 1, 72, 72, 1 ] , [ 37, 108, 108, 109 ] , [ 49, 96, 96, 97 ] , [ 55, 108, 36, 55 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 73, 128, 128, 41 ] , [ 97, 0, 96, 49 ] , [ 101, 14, 134, 97 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ]

144D¹³ 216 1 108 20 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 55, 108, 36, 55 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] , [ 136, 117, 99, 136 ]

144E¹³ 216 2 54 20 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 37, 108, 108, 109 ] , [ 45, 62, 118, 9 ] , [ 49, 96, 96, 97 ] , [ 63, 44, 28, 63 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ]

144F¹³ 216 2 108 20 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 37, 108, 108, 109 ] , [ 45, 62, 118, 9 ] , [ 49, 96, 96, 97 ] , [ 55, 108, 36, 55 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ]

144G¹³ 288 1 24 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 19, 0, 72, 91 ] , [ 19, 117, 108, 127 ] , [ 55, 117, 108, 91 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 108, 53 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ]

144H¹³ Γ₀(144) 288 1 24 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 19, 117, 108, 127 ] , [ 55, 117, 108, 91 ] , [ 73, 72, 0, 73 ] , [ 73, 81, 108, 37 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 108, 53 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ]

144I¹³ 288 1 48 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 37, 36, 72, 109 ] , [ 55, 117, 36, 19 ] , [ 73, 72, 0, 73 ] , [ 73, 81, 36, 109 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 108, 53 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ]

144J¹³ 288 1 48 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 128, 0, 1 ] , [ 37, 36, 72, 109 ] , [ 55, 117, 36, 19 ] , [ 73, 72, 0, 73 ] , [ 73, 81, 108, 37 ] , [ 73, 108, 0, 73 ] , [ 89, 57, 108, 53 ] , [ 97, 0, 0, 49 ] , [ 109, 126, 72, 37 ]

^ Level 145 Name Index con len c₂ c₃ > SL(2,Z/145Z) Matrix Generators

145A¹³ Γ₀(145) 180 1 180 4 0 [ 56, 115, 40, 121 ] , [ 59, 0, 0, 59 ] , [ 88, 87, 0, 117 ] , [ 91, 100, 35, 56 ] , [ 106, 70, 100, 51 ] , [ 111, 115, 40, 31 ] , [ 117, 87, 87, 30 ]

^ Level 150 Name Index con len c₂ c₃ > SL(2,Z/150Z) Matrix Generators

150A¹³ 180 1 30 0 0 [ 31, 90, 90, 121 ] , [ 37, 32, 20, 143 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 75, 1 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 119, 0, 120, 29 ]

150B¹³ 180 1 60 0 0 [ 1, 75, 25, 76 ] , [ 51, 50, 100, 51 ] , [ 61, 30, 30, 91 ] , [ 73, 60, 18, 97 ] , [ 73, 126, 66, 79 ] , [ 101, 0, 0, 101 ] , [ 101, 100, 100, 1 ] , [ 109, 0, 60, 139 ] , [ 121, 120, 0, 31 ]

150C¹³ 180 1 90 8 0 [ 1, 75, 75, 76 ] , [ 31, 90, 90, 121 ] , [ 67, 78, 78, 55 ] , [ 73, 58, 130, 17 ] , [ 91, 0, 90, 61 ] , [ 101, 110, 140, 1 ] , [ 119, 120, 0, 29 ] , [ 131, 90, 90, 71 ] , [ 131, 130, 25, 121 ]

150D¹³ 180 1 90 8 0 [ 1, 75, 75, 76 ] , [ 19, 126, 108, 61 ] , [ 41, 4, 22, 79 ] , [ 43, 6, 126, 49 ] , [ 61, 30, 30, 91 ] , [ 91, 90, 0, 61 ] , [ 131, 62, 89, 49 ] , [ 139, 60, 30, 109 ] , [ 149, 144, 24, 143 ]

150E¹³ 180 1 90 8 0 [ 1, 75, 75, 76 ] , [ 19, 138, 96, 121 ] , [ 31, 0, 30, 121 ] , [ 31, 90, 90, 121 ] , [ 61, 100, 85, 41 ] , [ 97, 18, 48, 145 ] , [ 101, 0, 0, 101 ] , [ 109, 120, 90, 139 ] , [ 121, 50, 95, 131 ]

150F¹³ 180 1 90 8 0 [ 1, 26, 101, 77 ] , [ 1, 75, 75, 76 ] , [ 19, 118, 106, 11 ] , [ 25, 102, 12, 7 ] , [ 49, 60, 90, 49 ] , [ 91, 90, 0, 61 ] , [ 95, 12, 72, 137 ] , [ 121, 60, 60, 31 ] , [ 145, 114, 66, 145 ]

^ Level 162 Name Index con len c₂ c₃ > SL(2,Z/162Z) Matrix Generators

162A¹³ 216 1 36 0 0 [ 1, 0, 108, 1 ] , [ 19, 54, 12, 145 ] , [ 37, 54, 0, 127 ] , [ 55, 0, 36, 109 ] , [ 82, 81, 81, 1 ] , [ 85, 126, 0, 61 ] , [ 107, 27, 111, 134 ] , [ 109, 0, 0, 55 ] , [ 151, 0, 14, 103 ]

162B¹³ 216 1 72 0 0 [ 1, 0, 108, 1 ] , [ 19, 54, 84, 145 ] , [ 55, 0, 54, 109 ] , [ 55, 0, 90, 109 ] , [ 67, 27, 31, 160 ] , [ 91, 0, 102, 73 ] , [ 143, 0, 48, 17 ] , [ 148, 117, 11, 151 ] , [ 154, 135, 45, 91 ]

^ Level 163 Name Index con len c₂ c₃ > SL(2,Z/163Z) Matrix Generators

163A¹³ Γ₀(163) 164 1 164 0 2 [ 19, 46, 30, 107 ] , [ 89, 27, 9, 76 ] , [ 162, 0, 0, 162 ]

^ Level 164 Name Index con len c₂ c₃ > SL(2,Z/164Z) Matrix Generators

164A¹³ 168 1 168 4 0 [ 1, 82, 41, 83 ] , [ 42, 41, 41, 1 ] , [ 83, 0, 0, 83 ] , [ 93, 56, 48, 73 ] , [ 97, 16, 28, 101 ] , [ 101, 48, 84, 113 ] , [ 129, 104, 100, 73 ] , [ 145, 16, 28, 149 ]

^ Level 174 Name Index con len c₂ c₃ > SL(2,Z/174Z) Matrix Generators

174A¹³ 180 1 90 8 0 [ 1, 87, 87, 88 ] , [ 13, 54, 144, 103 ] , [ 55, 54, 12, 151 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 145, 1 ] , [ 115, 0, 0, 115 ] , [ 117, 58, 29, 117 ] , [ 163, 48, 84, 13 ]

^ Level 180 Name Index con len c₂ c₃ > SL(2,Z/180Z) Matrix Generators

180A¹³ 180 1 180 10 0 [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 37, 0, 72, 73 ] , [ 37, 36, 0, 73 ] , [ 61, 0, 120, 121 ] , [ 61, 60, 60, 121 ] , [ 81, 160, 140, 21 ] , [ 101, 100, 40, 61 ] , [ 109, 0, 0, 109 ] , [ 136, 153, 171, 64 ] , [ 145, 36, 144, 109 ] , [ 161, 0, 0, 161 ]

180B¹³ 216 1 216 20 0 [ 1, 108, 36, 109 ] , [ 31, 90, 75, 61 ] , [ 61, 0, 60, 121 ] , [ 61, 120, 120, 121 ] , [ 73, 144, 144, 109 ] , [ 81, 160, 140, 21 ] , [ 91, 135, 45, 136 ] , [ 109, 0, 0, 109 ] , [ 121, 100, 100, 41 ] , [ 151, 0, 60, 31 ] , [ 161, 120, 60, 161 ]

180C¹³ 216 2 54 20 0 [ 1, 90, 90, 1 ] , [ 17, 96, 66, 161 ] , [ 61, 0, 60, 121 ] , [ 61, 120, 120, 121 ] , [ 76, 165, 135, 151 ] , [ 91, 0, 90, 91 ] , [ 101, 40, 40, 121 ] , [ 129, 127, 134, 111 ] , [ 141, 40, 20, 81 ] , [ 145, 108, 108, 37 ] , [ 161, 0, 0, 161 ]

180D¹³ 216 2 54 20 0 [ 1, 90, 90, 1 ] , [ 17, 96, 66, 161 ] , [ 33, 148, 128, 45 ] , [ 61, 0, 60, 121 ] , [ 61, 120, 120, 121 ] , [ 76, 165, 135, 151 ] , [ 91, 0, 90, 91 ] , [ 129, 127, 134, 111 ] , [ 145, 108, 108, 37 ] , [ 161, 0, 0, 161 ] , [ 173, 148, 148, 85 ]

180E¹³ 216 2 54 20 0 [ 1, 90, 90, 1 ] , [ 17, 96, 66, 161 ] , [ 33, 148, 128, 45 ] , [ 61, 0, 60, 121 ] , [ 61, 120, 120, 121 ] , [ 76, 165, 135, 151 ] , [ 91, 0, 90, 91 ] , [ 101, 40, 40, 121 ] , [ 129, 127, 134, 111 ] , [ 145, 108, 108, 37 ] , [ 161, 0, 0, 161 ]

180F¹³ 216 2 54 20 0 [ 1, 90, 90, 1 ] , [ 17, 96, 66, 161 ] , [ 61, 0, 60, 121 ] , [ 61, 120, 120, 121 ] , [ 76, 165, 135, 151 ] , [ 91, 0, 90, 91 ] , [ 101, 40, 40, 121 ] , [ 129, 19, 62, 111 ] , [ 145, 108, 108, 37 ] , [ 149, 27, 114, 11 ] , [ 161, 0, 0, 161 ]

^ Level 182 Name Index con len c₂ c₃ > SL(2,Z/182Z) Matrix Generators

182A¹³ 196 2 98 8 4 [ 19, 4, 46, 163 ] , [ 27, 0, 0, 27 ] , [ 53, 39, 78, 157 ] , [ 92, 91, 91, 1 ] , [ 105, 78, 104, 105 ] , [ 109, 44, 2, 101 ] , [ 157, 26, 26, 53 ] , [ 157, 78, 0, 131 ] , [ 163, 70, 64, 109 ] , [ 181, 0, 0, 181 ]

^ Level 183 Name Index con len c₂ c₃ > SL(2,Z/183Z) Matrix Generators

183A¹³ 186 2 62 6 3 [ 1, 61, 61, 62 ] , [ 34, 69, 24, 151 ] , [ 34, 177, 46, 148 ] , [ 37, 114, 102, 67 ] , [ 62, 0, 0, 62 ] , [ 62, 61, 61, 1 ] , [ 88, 106, 21, 148 ] , [ 149, 6, 137, 35 ]

^ Level 196 Name Index con len c₂ c₃ > SL(2,Z/196Z) Matrix Generators

196A¹³ 224 1 56 0 8 [ 1, 49, 49, 50 ] , [ 1, 98, 98, 1 ] , [ 57, 168, 0, 141 ] , [ 85, 28, 140, 113 ] , [ 97, 144, 132, 101 ] , [ 99, 0, 98, 99 ] , [ 117, 154, 36, 101 ] , [ 133, 64, 76, 41 ]

^ Level 210 Name Index con len c₂ c₃ > SL(2,Z/210Z) Matrix Generators

210A¹³ 210 2 35 12 6 [ 1, 150, 60, 181 ] , [ 1, 180, 45, 121 ] , [ 29, 0, 0, 29 ] , [ 29, 98, 28, 15 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 28, 196, 169 ] , [ 71, 70, 70, 1 ] , [ 106, 105, 105, 1 ] , [ 127, 70, 112, 113 ] , [ 141, 140, 70, 141 ] , [ 181, 0, 0, 181 ]

210B¹³ 210 2 35 12 6 [ 1, 140, 140, 71 ] , [ 1, 150, 60, 181 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 85, 182, 42, 169 ] , [ 106, 105, 105, 1 ] , [ 127, 140, 182, 113 ] , [ 127, 196, 70, 113 ] , [ 141, 70, 140, 141 ] , [ 151, 150, 195, 31 ] , [ 181, 0, 0, 181 ]

^ Level 231 Name Index con len c₂ c₃ > SL(2,Z/231Z) Matrix Generators

231A¹³ 231 2 77 27 0 [ 1, 154, 154, 155 ] , [ 1, 165, 66, 34 ] , [ 34, 0, 0, 34 ] , [ 34, 99, 33, 1 ] , [ 43, 0, 0, 43 ] , [ 78, 154, 77, 78 ] , [ 100, 0, 165, 67 ] , [ 155, 0, 0, 155 ] , [ 161, 3, 9, 158 ] , [ 166, 165, 165, 100 ] , [ 225, 58, 41, 27 ]

231B¹³ 231 2 77 27 0 [ 1, 77, 77, 155 ] , [ 34, 0, 0, 34 ] , [ 79, 171, 96, 85 ] , [ 133, 66, 198, 133 ] , [ 133, 198, 66, 34 ] , [ 155, 0, 0, 155 ] , [ 155, 77, 77, 1 ] , [ 175, 66, 198, 175 ] , [ 199, 132, 66, 67 ] , [ 199, 198, 99, 1 ] , [ 202, 206, 68, 194 ]

^	Level 10	Name	Index	con	len	c₂	c₃	>	SL(2,Z/10Z) Matrix Generators
	10A¹³	Γ(10)	360	1	1	0	0		[ 9, 0, 0, 9 ]
^	Level 12	Name	Index	con	len	c₂	c₃	>	SL(2,Z/12Z) Matrix Generators
	12A¹³		288	1	1	0	0		[ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ]
	12B¹³		288	1	3	0	0		[ 5, 0, 6, 5 ] , [ 7, 0, 6, 7 ] , [ 11, 0, 0, 11 ]
^	Level 14	Name	Index	con	len	c₂	c₃	>	SL(2,Z/14Z) Matrix Generators
	14A¹³		252	1	21	0	0		[ 5, 8, 2, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 10, 5 ]
	14B¹³		252	1	63	0	0		[ 5, 2, 11, 13 ] , [ 5, 8, 2, 9 ] , [ 13, 0, 0, 13 ]
	14C¹³		252	2	7	0	0		[ 5, 8, 2, 9 ] , [ 7, 12, 4, 7 ] , [ 13, 0, 0, 13 ]
^	Level 15	Name	Index	con	len	c₂	c₃	>	SL(2,Z/15Z) Matrix Generators
	15A¹³		240	1	10	0	0		[ 4, 0, 0, 4 ] , [ 4, 3, 3, 10 ] , [ 11, 0, 0, 11 ]
^	Level 16	Name	Index	con	len	c₂	c₃	>	SL(2,Z/16Z) Matrix Generators
	16A¹³		256	1	64	0	4		[ 7, 0, 0, 7 ] , [ 13, 5, 5, 2 ] , [ 15, 0, 0, 15 ]
	16B¹³		384	1	3	0	0		[ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ]
	16C¹³		384	1	6	0	0		[ 3, 12, 4, 11 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 12, 5 ] , [ 15, 0, 0, 15 ]
^	Level 18	Name	Index	con	len	c₂	c₃	>	SL(2,Z/18Z) Matrix Generators
	18A¹³		216	1	3	0	0		[ 1, 9, 9, 10 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ]
	18B¹³		216	1	3	0	0		[ 1, 6, 12, 1 ] , [ 7, 0, 6, 13 ] , [ 17, 0, 0, 17 ]
	18C¹³		216	1	6	0	0		[ 1, 9, 9, 10 ] , [ 10, 9, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ]
	18D¹³		216	1	12	0	0		[ 7, 0, 0, 13 ] , [ 7, 15, 3, 4 ] , [ 17, 0, 0, 17 ]
	18E¹³		216	1	12	0	0		[ 16, 9, 9, 13 ] , [ 16, 15, 3, 13 ] , [ 17, 0, 0, 17 ]
	18F¹³		216	1	12	0	0		[ 4, 3, 9, 7 ] , [ 10, 3, 15, 1 ] , [ 17, 0, 0, 17 ]
	18G¹³		216	1	24	0	0		[ 7, 0, 6, 13 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ]
	18H¹³		216	2	6	0	0		[ 1, 3, 15, 10 ] , [ 4, 3, 9, 7 ] , [ 17, 0, 0, 17 ]
^	Level 20	Name	Index	con	len	c₂	c₃	>	SL(2,Z/20Z) Matrix Generators
	20A¹³		240	1	30	0	0		[ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]
	20B¹³		240	1	60	8	0		[ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 10, 1, 7 ]
	20C¹³		240	1	60	8	0		[ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 10, 1, 7 ]
	20D¹³		240	2	30	8	0		[ 7, 10, 19, 13 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ]
	20E¹³		288	1	6	0	0		[ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ]
	20F¹³		288	1	18	0	0		[ 5, 8, 18, 13 ] , [ 5, 12, 12, 17 ] , [ 19, 4, 14, 3 ]
	20G¹³		360	1	3	0	0		[ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ]
^	Level 21	Name	Index	con	len	c₂	c₃	>	SL(2,Z/21Z) Matrix Generators
	21A¹³		252	1	21	12	0		[ 1, 7, 7, 8 ] , [ 1, 14, 14, 8 ] , [ 1, 18, 3, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] , [ 15, 7, 14, 15 ]
	21B¹³		252	2	21	12	0		[ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 9, 15, 19 ]
	21C¹³		288	1	8	0	0		[ 1, 0, 6, 1 ] , [ 8, 0, 12, 8 ] , [ 8, 0, 18, 8 ] , [ 13, 0, 12, 13 ]
^	Level 22	Name	Index	con	len	c₂	c₃	>	SL(2,Z/22Z) Matrix Generators
	22A¹³		220	1	55	0	4		[ 1, 8, 8, 21 ] , [ 1, 11, 11, 12 ] , [ 9, 2, 2, 3 ] , [ 13, 20, 20, 19 ] , [ 20, 15, 15, 19 ]
	22B¹³		220	2	55	0	4		[ 11, 10, 12, 11 ] , [ 12, 11, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 21, 0, 0, 21 ]
^	Level 23	Name	Index	con	len	c₂	c₃	>	SL(2,Z/23Z) Matrix Generators
	23A¹³		253	1	253	13	1		[ 1, 7, 22, 17 ] , [ 6, 12, 18, 17 ] , [ 9, 19, 17, 13 ] , [ 16, 17, 16, 7 ] , [ 22, 0, 0, 22 ]
	23B¹³		253	2	253	9	4		[ 1, 13, 14, 22 ] , [ 6, 12, 18, 17 ] , [ 16, 17, 16, 7 ] , [ 20, 21, 15, 2 ] , [ 22, 0, 0, 22 ]
^	Level 24	Name	Index	con	len	c₂	c₃	>	SL(2,Z/24Z) Matrix Generators
	24A¹³		192	1	4	0	0		[ 1, 12, 12, 1 ] , [ 1, 21, 9, 22 ] , [ 7, 12, 0, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 12, 17 ]
	24B¹³		192	1	4	0	0		[ 1, 12, 12, 1 ] , [ 1, 21, 9, 22 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ]
	24C¹³		192	1	16	0	0		[ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 9, 13 ]
	24D¹³		192	1	16	0	0		[ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ]
	24E¹³		192	1	48	0	0		[ 1, 8, 8, 17 ] , [ 1, 9, 21, 22 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 8, 21 ] , [ 22, 15, 3, 1 ]
	24F¹³		192	1	48	0	0		[ 1, 9, 21, 22 ] , [ 1, 16, 16, 17 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ]
	24G¹³		256	1	64	0	4		[ 1, 16, 0, 1 ] , [ 10, 15, 15, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 0, 13 ]
	24H¹³		256	1	64	0	4		[ 1, 16, 0, 1 ] , [ 5, 0, 0, 5 ] , [ 10, 15, 15, 13 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ]
	24I¹³		256	1	64	0	4		[ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 15, 15, 13 ] , [ 17, 0, 0, 17 ]
	24J¹³		288	1	3	0	0		[ 1, 6, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 6, 18, 5 ] , [ 17, 12, 0, 17 ] , [ 23, 18, 18, 11 ]
	24K¹³		288	1	3	0	0		[ 1, 18, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 18, 5 ] , [ 17, 18, 6, 5 ]
	24L¹³		288	1	6	0	0		[ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 3, 17 ] , [ 19, 0, 15, 19 ] , [ 23, 0, 12, 23 ]
	24M¹³		288	1	12	0	0		[ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 5, 0, 12, 5 ] , [ 5, 0, 18, 5 ] , [ 7, 0, 3, 7 ] , [ 13, 0, 9, 13 ] , [ 17, 0, 3, 17 ]
	24N¹³		288	1	12	0	0		[ 1, 0, 3, 1 ] , [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 0, 3, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 0, 12, 17 ]
	24O¹³		288	1	12	0	0		[ 1, 6, 6, 13 ] , [ 1, 12, 0, 1 ] , [ 1, 18, 6, 13 ] , [ 11, 12, 12, 11 ] , [ 13, 12, 12, 13 ] , [ 17, 6, 18, 5 ] , [ 23, 18, 18, 11 ]
	24P¹³		288	1	12	0	0		[ 1, 12, 0, 1 ] , [ 7, 18, 18, 19 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 6, 5 ] , [ 17, 12, 0, 17 ]
	24Q¹³		288	1	18	16	0		[ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 17, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 14, 5, 7 ] , [ 19, 12, 6, 19 ] , [ 23, 14, 17, 1 ]
	24R¹³		288	1	18	16	0		[ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 8, 7, 1, 16 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 19, 13, 4 ] , [ 23, 0, 0, 23 ]
	24S¹³		288	1	18	16	0		[ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 5, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 6, 13 ]
	24T¹³		288	1	36	8	0		[ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 8, 1, 7, 16 ] , [ 8, 19, 13, 16 ] , [ 16, 23, 17, 20 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 12, 23 ]
	24U¹³		288	1	36	8	0		[ 0, 23, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 12, 17 ]
	24V¹³		288	1	36	16	0		[ 7, 0, 0, 7 ] , [ 8, 1, 7, 16 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 16, 16, 11 ] , [ 23, 0, 0, 23 ]
	24W¹³		288	1	36	16	0		[ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 11, 2, 11, 13 ] , [ 13, 22, 1, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 0, 12, 19 ] , [ 23, 0, 0, 23 ]
	24X¹³		288	1	36	16	0		[ 7, 0, 0, 7 ] , [ 13, 4, 4, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ]
	24Y¹³		288	1	36	16	0		[ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 17, 2, 23, 7 ] , [ 19, 10, 19, 5 ] , [ 23, 0, 0, 23 ]
	24Z¹³		288	1	36	16	0		[ 1, 0, 12, 1 ] , [ 5, 22, 1, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 10, 19, 13 ] , [ 17, 0, 12, 17 ] , [ 19, 22, 1, 5 ]
	24AA¹³		288	1	36	16	0		[ 1, 0, 12, 1 ] , [ 5, 22, 1, 19 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 9, 4, 2, 9 ] , [ 11, 10, 19, 13 ] , [ 17, 0, 12, 17 ]
	24AB¹³		384	1	12	0	0		[ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 11, 16, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 12, 13 ]
	24AC¹³		384	1	24	0	0		[ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 11, 8, 6, 11 ] , [ 13, 0, 18, 13 ]
^	Level 26	Name	Index	con	len	c₂	c₃	>	SL(2,Z/26Z) Matrix Generators
	26A¹³		234	1	234	6	0		[ 7, 22, 20, 11 ] , [ 9, 6, 8, 17 ] , [ 14, 13, 13, 14 ] , [ 19, 4, 6, 15 ]
	26B¹³		252	1	14	0	0		[ 11, 4, 2, 15 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ]
^	Level 27	Name	Index	con	len	c₂	c₃	>	SL(2,Z/27Z) Matrix Generators
	27A¹³		243	1	243	15	0		[ 1, 9, 18, 1 ] , [ 1, 23, 23, 17 ] , [ 4, 1, 10, 23 ] , [ 5, 26, 26, 22 ] , [ 10, 0, 9, 19 ] , [ 17, 9, 9, 8 ]
	27B¹³	Γ₁(27)	324	1	36	0	0		[ 1, 0, 18, 1 ] , [ 16, 9, 26, 13 ] , [ 19, 0, 24, 10 ] , [ 26, 0, 0, 26 ]
	27C¹³		324	1	36	0	0		[ 1, 0, 3, 1 ] , [ 1, 0, 9, 1 ] , [ 19, 18, 0, 10 ] , [ 26, 0, 0, 26 ]
^	Level 28	Name	Index	con	len	c₂	c₃	>	SL(2,Z/28Z) Matrix Generators
	28A¹³		224	1	28	0	8		[ 1, 21, 21, 22 ] , [ 5, 12, 12, 1 ] , [ 15, 0, 14, 15 ] , [ 15, 14, 0, 15 ] , [ 27, 26, 26, 23 ]
	28B¹³		252	1	63	0	0		[ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 23, 26, 10, 15 ]
	28C¹³		252	1	63	0	0		[ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 5 ] , [ 15, 0, 14, 15 ]
	28D¹³		252	2	21	0	0		[ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ]
	28E¹³		252	2	21	12	0		[ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ]
	28F¹³		288	1	24	0	0		[ 1, 14, 0, 1 ] , [ 11, 8, 12, 19 ] , [ 13, 0, 0, 13 ] , [ 17, 24, 8, 13 ] , [ 21, 16, 24, 9 ] , [ 25, 8, 12, 5 ]
^	Level 30	Name	Index	con	len	c₂	c₃	>	SL(2,Z/30Z) Matrix Generators
	30A¹³		180	1	10	0	0		[ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ]
	30B¹³		180	1	15	0	0		[ 1, 15, 15, 16 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ]
	30C¹³		180	1	15	0	0		[ 1, 18, 6, 19 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 21, 20, 10, 21 ]
	30D¹³		180	1	15	0	0		[ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ]
	30E¹³		180	1	30	0	0		[ 1, 15, 25, 16 ] , [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]
	30F¹³		180	1	30	0	0		[ 7, 0, 12, 13 ] , [ 7, 6, 0, 13 ] , [ 7, 27, 9, 22 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]
	30G¹³		180	1	45	0	0		[ 1, 15, 15, 16 ] , [ 9, 2, 4, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 23, 20, 8, 7 ] , [ 29, 0, 0, 29 ]
	30H¹³		216	1	6	0	0		[ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
	30I¹³		216	1	18	0	0		[ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
	30J¹³		216	1	18	0	0		[ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ]
	30K¹³		216	1	54	0	0		[ 1, 5, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
	30L¹³		216	1	54	0	0		[ 1, 25, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ]
	30M¹³		240	1	30	16	0		[ 1, 15, 15, 16 ] , [ 7, 20, 29, 23 ] , [ 11, 0, 0, 11 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ]
	30N¹³		240	1	120	0	0		[ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 11, 0, 20, 11 ] , [ 11, 0, 25, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ]
	30O¹³		240	2	60	0	12		[ 1, 15, 15, 16 ] , [ 17, 10, 22, 13 ] , [ 17, 26, 20, 13 ] , [ 19, 24, 16, 25 ] , [ 29, 0, 0, 29 ]
	30P¹³		288	1	24	0	0		[ 1, 0, 10, 1 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 7 ]
	30Q¹³		288	1	36	16	0		[ 11, 2, 29, 19 ] , [ 16, 15, 15, 1 ] , [ 19, 24, 24, 13 ] , [ 29, 0, 0, 29 ]
	30R¹³		288	1	72	0	0		[ 1, 0, 10, 1 ] , [ 11, 0, 5, 11 ] , [ 13, 6, 6, 19 ] , [ 29, 0, 20, 29 ]
^	Level 32	Name	Index	con	len	c₂	c₃	>	SL(2,Z/32Z) Matrix Generators
	32A¹³		192	1	6	0	0		[ 1, 16, 16, 1 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 24, 17 ] , [ 19, 20, 4, 11 ] , [ 25, 0, 0, 9 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 4, 20, 15 ] , [ 31, 16, 16, 31 ]
	32B¹³		192	1	6	0	0		[ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 11, 12, 12, 19 ] , [ 17, 12, 12, 1 ] , [ 17, 16, 16, 17 ] , [ 23, 12, 12, 23 ] , [ 25, 24, 24, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 16, 16, 31 ]
	32C¹³		192	1	6	0	0		[ 1, 16, 16, 1 ] , [ 3, 24, 16, 11 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 4, 20, 11 ] , [ 21, 4, 20, 13 ] , [ 21, 16, 24, 29 ] , [ 25, 0, 16, 9 ] , [ 25, 8, 8, 9 ] , [ 31, 8, 24, 31 ]
	32D¹³		192	1	6	0	0		[ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 8, 16, 23 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 22, 4, 3 ] , [ 25, 0, 0, 9 ]
	32E¹³		192	1	6	0	0		[ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 8, 16, 23 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 0, 0, 9 ] , [ 27, 6, 20, 27 ]
	32F¹³		192	1	6	0	0		[ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 3, 24, 0, 11 ] , [ 9, 4, 12, 9 ] , [ 9, 24, 24, 25 ] , [ 17, 16, 16, 17 ] , [ 17, 28, 4, 1 ] , [ 27, 4, 4, 3 ] , [ 31, 0, 0, 31 ]
	32G¹³		192	1	6	0	0		[ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 4, 5 ] , [ 25, 4, 8, 9 ]
	32H¹³		192	1	6	0	0		[ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 20, 5 ] , [ 25, 4, 8, 9 ]
	32I¹³		192	1	12	0	0		[ 0, 27, 13, 16 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 4, 27, 29, 12 ] , [ 17, 0, 0, 17 ] , [ 23, 4, 4, 23 ] , [ 24, 19, 5, 24 ] , [ 31, 0, 0, 31 ]
	32J¹³		192	1	12	0	0		[ 0, 27, 13, 16 ] , [ 1, 16, 16, 1 ] , [ 8, 3, 21, 8 ] , [ 8, 23, 25, 8 ] , [ 9, 0, 0, 25 ] , [ 15, 8, 8, 15 ] , [ 15, 24, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 31, 0, 0, 31 ]
	32K¹³		192	1	12	0	0		[ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 13, 20, 20, 21 ] , [ 13, 28, 28, 21 ] , [ 17, 16, 16, 17 ] , [ 20, 11, 13, 28 ] , [ 31, 0, 0, 31 ]
	32L¹³		192	1	12	0	0		[ 1, 4, 24, 1 ] , [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 13, 2, 28, 29 ] , [ 17, 4, 24, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 0, 16, 9 ] , [ 31, 8, 16, 31 ]
	32M¹³		192	1	12	0	0		[ 1, 4, 8, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 15, 28, 24, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 12, 24, 17 ] , [ 21, 10, 20, 5 ] , [ 25, 4, 24, 9 ]
	32N¹³		192	1	24	0	0		[ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 23, 8, 8, 7 ] , [ 25, 24, 24, 9 ] , [ 26, 31, 5, 22 ] , [ 27, 22, 6, 31 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
	32O¹³		192	1	24	0	0		[ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 2, 18, 17 ] , [ 23, 8, 8, 7 ] , [ 25, 24, 24, 9 ] , [ 26, 31, 5, 22 ] , [ 29, 28, 28, 5 ] , [ 31, 16, 16, 31 ]
	32P¹³		192	1	48	0	0		[ 1, 16, 16, 1 ] , [ 4, 25, 23, 0 ] , [ 8, 9, 7, 4 ] , [ 9, 8, 8, 25 ] , [ 15, 20, 12, 31 ] , [ 17, 8, 24, 17 ] , [ 17, 16, 16, 17 ] , [ 20, 9, 7, 16 ] , [ 31, 28, 4, 15 ]
	32Q¹³		192	2	24	0	0		[ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 16, 25 ] , [ 9, 24, 24, 25 ] , [ 16, 27, 13, 8 ] , [ 17, 16, 16, 17 ] , [ 27, 4, 4, 3 ] , [ 28, 25, 7, 28 ] , [ 31, 0, 0, 31 ]
	32R¹³		192	2	96	4	0		[ 1, 16, 16, 1 ] , [ 1, 24, 8, 1 ] , [ 9, 24, 0, 25 ] , [ 15, 20, 20, 31 ] , [ 17, 8, 8, 17 ] , [ 23, 12, 20, 23 ] , [ 28, 21, 19, 28 ] , [ 31, 8, 24, 31 ]
	32S¹³		256	1	16	0	16		[ 1, 16, 16, 1 ] , [ 5, 29, 21, 26 ] , [ 9, 8, 0, 25 ] , [ 17, 16, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 21, 21, 13, 10 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ]
	32T¹³		384	1	3	0	0		[ 7, 16, 16, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 12, 20, 13 ] , [ 21, 28, 4, 13 ] , [ 31, 0, 0, 31 ]
	32U¹³		384	1	12	0	0		[ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 3, 22, 8, 27 ] , [ 5, 30, 8, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 25, 20, 16, 9 ]
^	Level 33	Name	Index	con	len	c₂	c₃	>	SL(2,Z/33Z) Matrix Generators
	33A¹³		220	1	220	0	4		[ 1, 0, 11, 1 ] , [ 14, 12, 12, 8 ] , [ 23, 0, 0, 23 ] , [ 25, 27, 3, 31 ] , [ 28, 18, 12, 16 ] , [ 32, 0, 0, 32 ]
^	Level 34	Name	Index	con	len	c₂	c₃	>	SL(2,Z/34Z) Matrix Generators
	34A¹³		204	1	102	0	6		[ 18, 17, 17, 1 ] , [ 21, 12, 0, 13 ] , [ 27, 16, 16, 7 ] , [ 29, 16, 26, 5 ] , [ 29, 20, 10, 21 ] , [ 33, 0, 0, 33 ]
	34B¹³		204	1	102	0	6		[ 7, 22, 24, 27 ] , [ 13, 26, 14, 15 ] , [ 18, 17, 17, 1 ] , [ 23, 14, 18, 11 ] , [ 29, 16, 4, 21 ] , [ 33, 0, 0, 33 ]
	34C¹³		216	1	18	0	0		[ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 19, 0, 0, 9 ] , [ 21, 0, 0, 13 ] , [ 33, 0, 0, 33 ]
	34D¹³		216	1	54	0	0		[ 1, 0, 24, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 5, 25 ] , [ 33, 0, 22, 33 ]
^	Level 35	Name	Index	con	len	c₂	c₃	>	SL(2,Z/35Z) Matrix Generators
	35A¹³		210	1	210	10	0		[ 1, 21, 7, 8 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 22, 7, 0, 8 ] , [ 29, 0, 0, 29 ]
	35B¹³		210	2	105	10	0		[ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 15, 21, 14, 15 ] , [ 16, 30, 15, 26 ] , [ 20, 3, 18, 15 ] , [ 29, 0, 0, 29 ]
	35C¹³		252	2	42	12	0		[ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 5, 20, 26 ] , [ 21, 25, 5, 21 ] , [ 33, 30, 29, 2 ] , [ 34, 0, 0, 34 ]
	35D¹³		288	1	48	0	0		[ 1, 0, 20, 1 ] , [ 6, 0, 15, 6 ] , [ 8, 7, 28, 29 ] , [ 15, 14, 21, 22 ] , [ 22, 28, 7, 1 ] , [ 29, 28, 7, 8 ]
^	Level 36	Name	Index	con	len	c₂	c₃	>	SL(2,Z/36Z) Matrix Generators
	36A¹³		192	1	16	0	0		[ 1, 0, 24, 1 ] , [ 1, 12, 4, 13 ] , [ 25, 0, 0, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ]
	36B¹³		192	1	32	0	0		[ 1, 0, 12, 1 ] , [ 1, 12, 20, 25 ] , [ 25, 0, 24, 13 ] , [ 28, 3, 33, 19 ] , [ 35, 0, 0, 35 ]
	36C¹³		216	1	9	0	0		[ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 24, 12, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
	36D¹³		216	1	12	0	0		[ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ]
	36E¹³		216	1	18	12	0		[ 1, 9, 9, 10 ] , [ 9, 10, 35, 27 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ]
	36F¹³		216	1	18	12	0		[ 1, 9, 9, 10 ] , [ 9, 10, 17, 27 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ]
	36G¹³		216	1	18	12	0		[ 1, 18, 18, 1 ] , [ 5, 34, 31, 31 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 35, 0, 0, 35 ]
	36H¹³		216	1	18	12	0		[ 13, 24, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 23, 34, 31, 13 ] , [ 25, 0, 12, 13 ] , [ 25, 8, 14, 29 ] , [ 35, 0, 0, 35 ]
	36I¹³		216	1	18	12	0		[ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ]
	36J¹³		216	1	36	0	0		[ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 9, 1 ] , [ 35, 0, 0, 35 ]
	36K¹³		216	1	36	0	0		[ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 20, 25 ] , [ 35, 0, 0, 35 ]
	36L¹³		216	1	36	12	0		[ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 9, 10, 17, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 9, 9, 22 ] , [ 35, 0, 0, 35 ]
	36M¹³		216	1	36	12	0		[ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 9, 10, 35, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 9, 9, 22 ] , [ 35, 0, 0, 35 ]
	36N¹³		216	1	72	12	0		[ 1, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 28, 27, 9, 28 ] , [ 29, 28, 4, 25 ]
	36O¹³		216	2	18	12	0		[ 0, 1, 35, 18 ] , [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]
	36P¹³		216	2	27	8	0		[ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 17, 15 ] , [ 35, 12, 24, 35 ]
	36Q¹³		216	2	36	12	0		[ 1, 18, 18, 1 ] , [ 9, 10, 35, 27 ] , [ 13, 9, 9, 34 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 12, 13 ] , [ 35, 0, 0, 35 ]
	36R¹³		216	2	36	12	0		[ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ]
	36S¹³		216	2	54	4	0		[ 19, 0, 18, 19 ] , [ 19, 18, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 17, 15 ] , [ 35, 12, 24, 35 ]
	36T¹³		288	1	4	0	0		[ 1, 0, 12, 1 ] , [ 1, 0, 32, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ]
	36U¹³		288	1	12	0	0		[ 1, 0, 12, 1 ] , [ 13, 0, 16, 25 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ]
^	Level 39	Name	Index	con	len	c₂	c₃	>	SL(2,Z/39Z) Matrix Generators
	39A¹³		234	1	78	18	0		[ 7, 9, 33, 37 ] , [ 14, 0, 0, 14 ] , [ 14, 13, 13, 1 ] , [ 14, 26, 26, 1 ] , [ 19, 30, 6, 28 ] , [ 22, 6, 21, 4 ]
	39B¹³		252	1	42	12	0		[ 1, 13, 13, 14 ] , [ 14, 0, 0, 14 ] , [ 16, 15, 21, 10 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ]
^	Level 40	Name	Index	con	len	c₂	c₃	>	SL(2,Z/40Z) Matrix Generators
	40A¹³		180	1	15	0	0		[ 1, 20, 20, 1 ] , [ 6, 15, 5, 6 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 30, 11 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ]
	40B¹³		192	1	24	0	0		[ 1, 15, 35, 6 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 20, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 39, 20, 20, 39 ]
	40C¹³		192	1	24	0	0		[ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 0, 20, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 20, 20, 39 ]
	40D¹³		192	1	96	0	0		[ 21, 0, 0, 21 ] , [ 24, 19, 29, 8 ] , [ 25, 32, 32, 17 ] , [ 26, 25, 25, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ]
	40E¹³		192	1	96	0	0		[ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 25, 25, 21 ] , [ 33, 32, 32, 25 ] , [ 39, 0, 0, 39 ]
	40F¹³		240	1	30	16	0		[ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 14, 21, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 28, 38, 15 ]
	40G¹³		240	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 ] , [ 31, 0, 10, 31 ]
	40H¹³		240	1	60	8	0		[ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 26, 29, 5 ] , [ 21, 0, 0, 21 ]
	40I¹³		240	2	30	8	0		[ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 7, 10, 21, 13 ] , [ 9, 32, 32, 25 ] , [ 15, 14, 21, 25 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ]
	40J¹³		288	1	18	0	0		[ 1, 10, 10, 21 ] , [ 19, 20, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 2, 22, 5 ]
	40K¹³		288	1	18	0	0		[ 1, 10, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 4, 4, 1 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ]
	40L¹³		288	1	36	0	0		[ 1, 20, 20, 1 ] , [ 11, 30, 10, 31 ] , [ 14, 15, 25, 4 ] , [ 16, 15, 25, 6 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ]
	40M¹³		288	1	36	16	0		[ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 39, 0, 0, 39 ]
	40N¹³		288	1	36	16	0		[ 8, 5, 3, 32 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 27, 18, 18, 15 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 36, 27, 29, 4 ] , [ 39, 0, 0, 39 ]
	40O¹³		288	1	72	0	0		[ 1, 10, 30, 21 ] , [ 11, 30, 10, 31 ] , [ 14, 15, 25, 4 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 26, 15, 25, 16 ]
	40P¹³		288	1	72	0	0		[ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 26, 15, 25, 16 ]
	40Q¹³		288	1	72	0	0		[ 1, 0, 20, 1 ] , [ 19, 20, 20, 19 ] , [ 21, 10, 30, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 2, 22, 5 ]
	40R¹³		288	1	72	0	0		[ 1, 10, 10, 21 ] , [ 19, 20, 20, 19 ] , [ 21, 10, 30, 1 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 33, 32, 32, 25 ]
	40S¹³		288	1	72	8	0		[ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 24, 24, 33 ] , [ 32, 37, 35, 8 ] , [ 36, 17, 39, 4 ] , [ 39, 0, 0, 39 ]
	40T¹³		288	1	72	8	0		[ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 12, 17, 15, 28 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ]
	40U¹³		288	1	72	16	0		[ 8, 5, 3, 32 ] , [ 14, 31, 13, 26 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 31, 20, 20, 31 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ]
	40V¹³		288	1	72	16	0		[ 3, 2, 2, 15 ] , [ 9, 0, 0, 9 ] , [ 16, 37, 19, 24 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ]
	40W¹³		288	2	18	16	0		[ 8, 5, 3, 32 ] , [ 14, 31, 13, 26 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 33, 16, 16, 9 ] , [ 36, 27, 29, 4 ] , [ 39, 0, 0, 39 ]
^	Level 42	Name	Index	con	len	c₂	c₃	>	SL(2,Z/42Z) Matrix Generators
	42A¹³		168	1	28	0	0		[ 1, 21, 21, 22 ] , [ 8, 19, 1, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 15, 7, 35, 36 ] , [ 29, 21, 21, 8 ] , [ 37, 30, 0, 25 ]
	42B¹³		168	2	7	0	0		[ 5, 9, 18, 41 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 24, 31 ] , [ 22, 21, 21, 1 ] , [ 29, 21, 21, 8 ] , [ 31, 24, 6, 25 ] , [ 37, 6, 12, 19 ]
	42C¹³		168	2	7	0	0		[ 13, 0, 0, 13 ] , [ 19, 0, 24, 31 ] , [ 19, 30, 18, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 21, 21, 8 ] , [ 31, 24, 6, 25 ] , [ 37, 6, 12, 19 ]
	42D¹³		168	2	21	0	0		[ 7, 6, 36, 1 ] , [ 7, 30, 24, 7 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 25, 10, 34, 17 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
	42E¹³		168	2	21	0	0		[ 1, 21, 21, 22 ] , [ 1, 24, 30, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 31, 24, 6, 25 ]
	42F¹³		192	1	8	0	0		[ 1, 21, 21, 22 ] , [ 13, 0, 21, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 12, 1 ] , [ 41, 0, 0, 41 ]
	42G¹³		192	1	8	0	0		[ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 12, 1 ] , [ 29, 0, 0, 29 ]
	42H¹³		216	1	24	0	0		[ 1, 0, 21, 1 ] , [ 1, 14, 14, 29 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 14, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ]
	42I¹³		252	2	21	24	0		[ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 41, 24, 18, 29 ]
	42J¹³		252	2	21	24	0		[ 9, 20, 40, 33 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 6, 12, 19 ] , [ 41, 0, 0, 41 ] , [ 41, 38, 11, 1 ]
	42K¹³		252	2	63	24	0		[ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 16, 32, 9 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
	42L¹³		288	1	96	0	0		[ 1, 0, 21, 1 ] , [ 19, 6, 16, 25 ] , [ 25, 18, 6, 1 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 28, 29 ]
^	Level 44	Name	Index	con	len	c₂	c₃	>	SL(2,Z/44Z) Matrix Generators
	44A¹³		192	1	48	0	0		[ 1, 33, 33, 34 ] , [ 25, 16, 8, 21 ] , [ 25, 28, 20, 33 ] , [ 41, 40, 16, 21 ] , [ 43, 0, 0, 43 ]
	44B¹³		220	1	220	14	1		[ 1, 8, 8, 21 ] , [ 12, 33, 11, 23 ] , [ 13, 20, 20, 41 ] , [ 13, 36, 24, 9 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 11, 1 ] , [ 43, 0, 0, 43 ]
^	Level 45	Name	Index	con	len	c₂	c₃	>	SL(2,Z/45Z) Matrix Generators
	45A¹³		180	1	20	0	0		[ 1, 30, 0, 1 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 40, 15, 31 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] , [ 41, 5, 30, 41 ]
	45B¹³		180	1	20	0	0		[ 1, 10, 30, 31 ] , [ 1, 15, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ] , [ 41, 10, 30, 26 ]
	45C¹³		180	1	20	0	0		[ 1, 30, 0, 1 ] , [ 10, 9, 36, 19 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 0, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ]
	45D¹³		180	1	60	0	0		[ 1, 10, 30, 31 ] , [ 1, 30, 0, 1 ] , [ 10, 9, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 37, 9, 0, 28 ] , [ 41, 25, 30, 26 ]
	45E¹³		180	1	60	0	0		[ 1, 30, 0, 1 ] , [ 10, 19, 21, 4 ] , [ 19, 0, 0, 19 ] , [ 26, 25, 30, 41 ] , [ 28, 0, 27, 37 ] , [ 31, 10, 30, 1 ] , [ 37, 9, 0, 28 ]
	45F¹³		180	1	60	0	0		[ 1, 30, 0, 1 ] , [ 10, 19, 21, 4 ] , [ 11, 25, 30, 11 ] , [ 16, 35, 15, 16 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 37, 9, 0, 28 ]
	45G¹³		180	2	20	0	0		[ 1, 30, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 26, 15, 0, 26 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ] , [ 40, 14, 6, 19 ]
	45H¹³		180	2	20	0	0		[ 1, 15, 0, 1 ] , [ 5, 44, 36, 29 ] , [ 10, 34, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 27, 37 ] , [ 31, 15, 0, 16 ] , [ 37, 9, 0, 28 ]
	45I¹³		180	2	20	0	0		[ 10, 39, 6, 19 ] , [ 14, 21, 39, 20 ] , [ 16, 0, 15, 31 ] , [ 16, 15, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 37, 0, 18, 28 ]
	45J¹³		180	2	90	4	0		[ 6, 5, 25, 36 ] , [ 10, 27, 27, 19 ] , [ 11, 15, 15, 41 ] , [ 16, 0, 15, 31 ] , [ 31, 15, 15, 16 ] , [ 43, 6, 0, 22 ] , [ 44, 0, 0, 44 ]
	45K¹³		216	1	24	0	0		[ 10, 18, 18, 37 ] , [ 19, 36, 36, 28 ] , [ 31, 0, 0, 16 ] , [ 31, 0, 15, 16 ] , [ 34, 0, 30, 4 ] , [ 38, 9, 9, 14 ] , [ 41, 36, 3, 29 ]
	45L¹³		216	1	72	0	0		[ 2, 3, 15, 23 ] , [ 4, 30, 15, 34 ] , [ 16, 15, 30, 31 ] , [ 36, 20, 40, 26 ] , [ 36, 25, 5, 1 ] , [ 37, 27, 27, 10 ]
	45M¹³		216	1	72	0	0		[ 2, 3, 15, 23 ] , [ 4, 30, 15, 34 ] , [ 7, 42, 12, 40 ] , [ 26, 10, 20, 6 ] , [ 28, 9, 9, 19 ] , [ 31, 30, 15, 16 ] , [ 41, 15, 30, 11 ]
	45N¹³		216	2	54	8	0		[ 1, 15, 30, 1 ] , [ 4, 0, 30, 34 ] , [ 16, 15, 0, 31 ] , [ 19, 36, 36, 28 ] , [ 34, 32, 14, 41 ] , [ 41, 30, 30, 11 ]
	45O¹³		240	1	40	0	0		[ 1, 0, 15, 1 ] , [ 1, 0, 25, 1 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ]
^	Level 48	Name	Index	con	len	c₂	c₃	>	SL(2,Z/48Z) Matrix Generators
	48A¹³		192	1	12	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 41, 36, 34, 17 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]
	48B¹³		192	1	12	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 41, 36, 34, 17 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]
	48C¹³		192	1	12	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 7, 12, 42, 31 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 47, 24, 4, 47 ]
	48D¹³		192	1	12	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 7, 12, 42, 31 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 47, 24, 4, 47 ]
	48E¹³		192	1	24	0	0		[ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 28 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 32, 39, 41, 20 ] , [ 37, 0, 0, 13 ]
	48F¹³		192	1	24	0	0		[ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 4 ] , [ 17, 0, 8, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 37, 0, 0, 13 ]
	48G¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 16 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 0, 13 ]
	48H¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 16, 39, 9, 40 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 0, 13 ]
	48I¹³		192	1	24	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 7, 12, 42, 31 ] , [ 17, 0, 28, 17 ] , [ 25, 24, 12, 25 ] , [ 43, 36, 6, 43 ] , [ 47, 24, 4, 47 ]
	48J¹³		192	1	24	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 36, 1 ] , [ 5, 12, 22, 5 ] , [ 25, 24, 12, 25 ] , [ 31, 0, 0, 31 ] , [ 41, 36, 34, 17 ] , [ 47, 24, 4, 47 ]
	48K¹³		192	1	48	0	0		[ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 39, 9, 28 ] , [ 16, 3, 21, 16 ] , [ 16, 39, 9, 40 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ]
	48L¹³		192	1	48	0	0		[ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 39, 9, 16 ] , [ 16, 3, 21, 4 ] , [ 16, 39, 9, 28 ] , [ 17, 0, 32, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 12, 36, 31 ]
	48M¹³		192	1	48	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 13, 18, 18, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 14 ] , [ 41, 36, 44, 41 ]
	48N¹³		192	1	48	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 13, 18, 18, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 38 ] , [ 41, 36, 44, 41 ]
	48O¹³		192	1	48	0	0		[ 1, 0, 32, 1 ] , [ 10, 39, 45, 22 ] , [ 17, 0, 32, 17 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 18, 18, 43 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]
	48P¹³		192	1	48	0	0		[ 1, 0, 32, 1 ] , [ 4, 27, 45, 4 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]
	48Q¹³		192	2	24	8	0		[ 1, 24, 24, 1 ] , [ 16, 17, 47, 32 ] , [ 17, 0, 24, 17 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 12, 24, 13 ] , [ 47, 0, 0, 47 ]
	48R¹³		192	2	24	8	0		[ 0, 1, 47, 0 ] , [ 13, 12, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 24, 12, 13 ] , [ 47, 0, 0, 47 ]
	48S¹³		192	2	48	0	0		[ 1, 0, 16, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 12, 20, 7 ] , [ 8, 39, 41, 44 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] , [ 38, 39, 5, 38 ] , [ 41, 36, 44, 41 ]
	48T¹³		192	2	48	0	0		[ 1, 0, 32, 1 ] , [ 7, 30, 6, 19 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 24, 31 ] , [ 37, 36, 36, 13 ]
	48U¹³		256	1	16	0	16		[ 1, 0, 16, 1 ] , [ 13, 12, 0, 37 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 37, 0, 36, 13 ] , [ 46, 3, 15, 1 ] , [ 47, 12, 4, 47 ]
	48V¹³		288	1	6	0	0		[ 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 ]
	48W¹³		288	1	6	0	0		[ 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 ]
	48X¹³		288	1	9	32	0		[ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 36, 25 ] , [ 37, 0, 36, 13 ] , [ 41, 36, 6, 17 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ]
	48Y¹³		288	1	12	0	0		[ 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 ]
	48Z¹³		288	1	12	0	0		[ 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 ]
	48AA¹³		288	1	18	32	0		[ 1, 0, 24, 1 ] , [ 5, 0, 36, 29 ] , [ 7, 2, 23, 41 ] , [ 9, 28, 2, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ]
	48AB¹³		288	1	18	32	0		[ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 20 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ]
	48AC¹³		288	1	36	8	0		[ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ] , [ 43, 22, 31, 17 ]
	48AD¹³		288	1	36	8	0		[ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 37, 24, 24, 13 ]
	48AE¹³		288	1	36	32	0		[ 1, 0, 24, 1 ] , [ 11, 2, 35, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 27, 16, 20, 3 ] , [ 33, 20, 22, 9 ] , [ 47, 0, 0, 47 ]
	48AF¹³		288	1	36	32	0		[ 1, 0, 24, 1 ] , [ 11, 2, 35, 37 ] , [ 15, 28, 2, 39 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ]
	48AG¹³		384	1	12	0	0		[ 1, 0, 24, 1 ] , [ 1, 0, 32, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 36, 13 ] , [ 47, 0, 4, 47 ]
	48AH¹³		384	1	48	0	0		[ 1, 0, 32, 1 ] , [ 13, 12, 36, 37 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 31, 6, 42, 19 ] , [ 32, 45, 43, 14 ] , [ 34, 45, 27, 16 ]
^	Level 50	Name	Index	con	len	c₂	c₃	>	SL(2,Z/50Z) Matrix Generators
	50A¹³		180	1	30	0	0		[ 3, 48, 20, 37 ] , [ 5, 22, 22, 17 ] , [ 9, 44, 24, 23 ] , [ 21, 10, 10, 31 ] , [ 39, 0, 40, 9 ] , [ 41, 0, 40, 11 ]
	50B¹³		180	1	30	0	0		[ 15, 32, 22, 47 ] , [ 19, 4, 34, 23 ] , [ 21, 2, 4, 29 ] , [ 21, 10, 10, 31 ] , [ 31, 30, 0, 21 ] , [ 49, 0, 0, 49 ]
	50C¹³		180	1	30	0	0		[ 3, 46, 6, 9 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 23, 32, 22, 35 ] , [ 31, 0, 30, 21 ] , [ 35, 2, 22, 7 ] , [ 35, 22, 2, 7 ] , [ 49, 6, 38, 21 ]
	50D¹³		180	1	30	0	0		[ 5, 36, 34, 5 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] , [ 35, 32, 42, 47 ] , [ 37, 30, 42, 3 ] , [ 49, 40, 10, 49 ]
	50E¹³		360	1	6	0	0		[ 11, 30, 30, 41 ] , [ 21, 0, 20, 31 ] , [ 21, 40, 30, 31 ] , [ 29, 14, 44, 23 ] , [ 31, 40, 40, 21 ] , [ 37, 38, 8, 15 ] , [ 49, 0, 0, 49 ]
^	Level 51	Name	Index	con	len	c₂	c₃	>	SL(2,Z/51Z) Matrix Generators
	51A¹³		216	1	54	8	0		[ 1, 0, 39, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 17, 8, 8 ]
	51B¹³		216	1	54	8	0		[ 1, 0, 39, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 18, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 3, 25 ]
^	Level 52	Name	Index	con	len	c₂	c₃	>	SL(2,Z/52Z) Matrix Generators
	52A¹³		224	1	56	0	8		[ 1, 13, 13, 14 ] , [ 5, 20, 16, 33 ] , [ 5, 40, 36, 49 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ]
	52B¹³		252	1	42	0	0		[ 21, 18, 24, 33 ] , [ 23, 37, 44, 3 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ] , [ 37, 4, 28, 41 ]
	52C¹³		252	1	42	12	0		[ 19, 45, 22, 33 ] , [ 21, 18, 24, 33 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ] , [ 37, 4, 28, 41 ]
^	Level 54	Name	Index	con	len	c₂	c₃	>	SL(2,Z/54Z) Matrix Generators
	54A¹³		162	2	81	0	0		[ 1, 27, 27, 28 ] , [ 5, 30, 30, 29 ] , [ 27, 28, 26, 27 ] , [ 29, 28, 28, 1 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ] , [ 49, 24, 24, 25 ]
	54B¹³		216	1	12	0	0		[ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 17, 0, 0, 35 ] , [ 31, 36, 52, 43 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ]
	54C¹³		216	1	12	0	0		[ 1, 0, 36, 1 ] , [ 1, 27, 27, 28 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 36, 40, 49 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ]
	54D¹³		216	1	12	0	0		[ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 18, 26, 37 ] , [ 17, 0, 0, 35 ] , [ 28, 27, 27, 1 ] , [ 37, 0, 36, 19 ]
	54E¹³		216	1	12	0	0		[ 1, 0, 18, 1 ] , [ 13, 0, 12, 25 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]
	54F¹³		216	1	24	0	0		[ 1, 0, 36, 1 ] , [ 1, 9, 45, 28 ] , [ 19, 0, 18, 37 ] , [ 31, 45, 49, 52 ] , [ 37, 0, 12, 19 ] , [ 53, 0, 0, 53 ]
	54G¹³		216	1	24	0	0		[ 1, 0, 36, 1 ] , [ 1, 9, 45, 28 ] , [ 19, 0, 18, 37 ] , [ 37, 0, 12, 19 ] , [ 40, 45, 49, 43 ] , [ 53, 0, 0, 53 ]
	54H¹³		216	1	24	0	0		[ 1, 0, 18, 1 ] , [ 13, 36, 0, 25 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 40, 9, 11, 43 ]
	54I¹³		216	1	24	0	0		[ 1, 0, 18, 1 ] , [ 16, 45, 9, 49 ] , [ 19, 0, 0, 37 ] , [ 25, 36, 24, 13 ] , [ 28, 9, 9, 1 ] , [ 53, 0, 0, 53 ]
	54J¹³		216	1	24	0	0		[ 1, 0, 36, 1 ] , [ 13, 9, 11, 16 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ] , [ 40, 27, 31, 25 ]
	54K¹³		216	1	24	0	0		[ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 45, 35, 40 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ] , [ 43, 0, 6, 49 ]
	54L¹³		216	1	24	0	0		[ 1, 0, 18, 1 ] , [ 13, 9, 27, 52 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 40, 9, 11, 43 ]
	54M¹³		216	1	24	0	0		[ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 16, 27, 33, 49 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ] , [ 34, 45, 35, 13 ]
	54N¹³		216	1	24	0	9		[ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 28, 45, 27, 1 ] , [ 37, 0, 36, 19 ] , [ 43, 33, 43, 28 ] , [ 53, 0, 0, 53 ]
	54O¹³		216	1	24	0	9		[ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 28, 45, 27, 1 ] , [ 34, 51, 7, 1 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]
	54P¹³		216	1	24	0	9		[ 1, 0, 36, 1 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 31, 0, 42, 7 ] , [ 37, 36, 30, 19 ] , [ 49, 15, 19, 40 ]
	54Q¹³		216	2	24	0	0		[ 1, 0, 6, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 45, 35, 40 ] , [ 16, 27, 33, 49 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 18, 37 ]
	54R¹³		216	2	24	0	0		[ 1, 0, 36, 1 ] , [ 13, 9, 11, 16 ] , [ 13, 27, 31, 52 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ]
	54S¹³		216	2	24	0	9		[ 1, 0, 36, 1 ] , [ 25, 27, 27, 40 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 43, 39, 29, 10 ] , [ 53, 0, 0, 53 ]
	54T¹³		216	2	24	0	9		[ 1, 0, 36, 1 ] , [ 4, 27, 15, 7 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 22, 15, 19, 13 ] , [ 37, 36, 30, 19 ]
^	Level 55	Name	Index	con	len	c₂	c₃	>	SL(2,Z/55Z) Matrix Generators
	55A¹³		180	1	60	0	0		[ 1, 33, 11, 34 ] , [ 16, 50, 40, 46 ] , [ 21, 0, 0, 21 ] , [ 21, 5, 30, 36 ] , [ 23, 44, 0, 12 ] , [ 34, 0, 0, 34 ]
^	Level 56	Name	Index	con	len	c₂	c₃	>	SL(2,Z/56Z) Matrix Generators
	56A¹³		168	2	21	0	0		[ 1, 28, 0, 1 ] , [ 9, 19, 38, 43 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 28, 15 ] , [ 19, 36, 16, 51 ] , [ 25, 0, 24, 9 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
	56B¹³		168	2	21	0	0		[ 1, 7, 14, 43 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 28, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 41, 32, 40, 49 ] , [ 49, 16, 24, 49 ]
	56C¹³		168	2	21	0	0		[ 1, 14, 28, 1 ] , [ 1, 30, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 54, 24, 15 ] , [ 29, 14, 28, 29 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
	56D¹³		168	2	21	0	0		[ 1, 16, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 40, 24, 15 ] , [ 23, 54, 52, 15 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] , [ 51, 54, 52, 43 ]
	56E¹³		168	2	42	0	0		[ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 9, 47, 38, 43 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 25, 32, 8, 17 ] , [ 29, 0, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ]
	56F¹³		168	2	42	0	0		[ 9, 24, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 29 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ]
	56G¹³		192	1	24	0	0		[ 1, 48, 24, 33 ] , [ 5, 0, 50, 45 ] , [ 5, 28, 8, 45 ] , [ 9, 40, 32, 49 ] , [ 19, 28, 50, 3 ] , [ 25, 8, 12, 33 ] , [ 33, 0, 22, 17 ]
	56H¹³		192	1	24	0	0		[ 1, 48, 24, 33 ] , [ 9, 40, 32, 49 ] , [ 25, 8, 12, 33 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 14, 29 ] , [ 33, 0, 8, 17 ] , [ 43, 28, 42, 43 ]
	56I¹³		192	1	48	0	0		[ 1, 14, 49, 15 ] , [ 9, 16, 16, 41 ] , [ 9, 40, 32, 49 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 28, 29 ] , [ 41, 32, 20, 17 ] , [ 49, 8, 48, 41 ]
	56J¹³		192	1	48	0	0		[ 1, 42, 49, 43 ] , [ 9, 16, 16, 41 ] , [ 9, 40, 32, 49 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 28, 29 ] , [ 41, 32, 20, 17 ] , [ 49, 8, 48, 41 ]
	56K¹³		192	1	96	0	0		[ 1, 0, 28, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 28, 14, 15 ] , [ 25, 8, 40, 33 ] , [ 25, 24, 28, 9 ] , [ 43, 0, 28, 43 ] , [ 55, 0, 0, 55 ] , [ 55, 42, 21, 13 ]
	56L¹³		192	1	96	0	0		[ 1, 0, 28, 1 ] , [ 5, 36, 18, 29 ] , [ 9, 48, 24, 41 ] , [ 17, 24, 8, 41 ] , [ 33, 40, 40, 1 ] , [ 47, 50, 39, 1 ] , [ 55, 48, 36, 7 ]
	56M¹³		224	2	112	16	2		[ 1, 7, 35, 22 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 23, 47, 10, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 49, 16, 24, 49 ]
	56N¹³		256	1	32	0	16		[ 1, 28, 28, 1 ] , [ 1, 35, 7, 22 ] , [ 27, 0, 28, 27 ] , [ 29, 0, 28, 29 ] , [ 33, 48, 16, 25 ] , [ 49, 32, 40, 41 ]
	56O¹³		288	1	48	0	0		[ 3, 41, 44, 23 ] , [ 9, 40, 32, 49 ] , [ 19, 16, 24, 35 ] , [ 29, 28, 0, 29 ] , [ 33, 16, 24, 49 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ]
^	Level 57	Name	Index	con	len	c₂	c₃	>	SL(2,Z/57Z) Matrix Generators
	57A¹³		180	1	20	0	0		[ 19, 48, 36, 40 ] , [ 20, 0, 0, 20 ] , [ 20, 19, 19, 1 ] , [ 20, 38, 38, 1 ] , [ 37, 38, 38, 56 ] , [ 40, 33, 9, 16 ]
	57B¹³		240	1	80	0	6		[ 1, 19, 0, 1 ] , [ 16, 36, 54, 4 ] , [ 20, 0, 0, 20 ] , [ 22, 21, 3, 34 ] , [ 31, 42, 3, 28 ]
^	Level 58	Name	Index	con	len	c₂	c₃	>	SL(2,Z/58Z) Matrix Generators
	58A¹³		180	1	30	0	0		[ 33, 46, 8, 27 ] , [ 51, 18, 52, 7 ] , [ 57, 0, 0, 57 ] , [ 57, 10, 2, 37 ]
^	Level 60	Name	Index	con	len	c₂	c₃	>	SL(2,Z/60Z) Matrix Generators
	60A¹³		180	1	30	0	0		[ 1, 0, 30, 1 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 0, 45, 31 ] , [ 37, 0, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ]
	60B¹³		180	1	30	6	0		[ 1, 40, 40, 41 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
	60C¹³		180	1	45	0	0		[ 1, 0, 30, 1 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 40, 5, 51 ]
	60D¹³		180	1	45	4	0		[ 1, 24, 48, 13 ] , [ 1, 30, 15, 31 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ]
	60E¹³		180	1	90	4	0		[ 1, 0, 30, 1 ] , [ 7, 30, 39, 13 ] , [ 17, 10, 34, 13 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ]
	60F¹³		180	1	90	6	0		[ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 55, 31 ] , [ 41, 40, 10, 1 ] , [ 49, 0, 0, 49 ]
	60G¹³		180	2	30	6	0		[ 13, 24, 0, 37 ] , [ 13, 40, 28, 17 ] , [ 16, 15, 45, 16 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 57, 4, 8, 49 ]
	60H¹³		180	2	45	4	0		[ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 24, 0, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 40, 1 ] , [ 41, 50, 35, 31 ] , [ 49, 0, 0, 49 ]
	60I¹³		192	1	24	0	0		[ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 19, 0, 40, 19 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 20, 41 ] , [ 46, 15, 15, 1 ]
	60J¹³		192	1	24	0	0		[ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 13, 36, 36, 49 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 10, 41 ] , [ 46, 45, 5, 1 ] , [ 59, 0, 0, 59 ]
	60K¹³		192	1	96	0	0		[ 1, 0, 20, 1 ] , [ 1, 30, 45, 31 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ]
	60L¹³		192	1	96	0	0		[ 1, 0, 20, 1 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 19, 6, 23, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ]
	60M¹³		192	1	96	0	0		[ 1, 0, 20, 1 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 41, 0, 20, 41 ] , [ 49, 36, 8, 1 ]
	60N¹³		216	1	18	0	0		[ 1, 30, 0, 1 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]
	60O¹³		216	1	36	12	0		[ 1, 15, 30, 31 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]
	60P¹³		216	1	36	12	0		[ 1, 30, 45, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 48, 31 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 11 ] , [ 41, 0, 0, 41 ]
	60Q¹³		216	1	54	0	0		[ 1, 30, 0, 1 ] , [ 7, 30, 42, 43 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 10, 52, 43 ]
	60R¹³		216	1	54	0	0		[ 1, 30, 0, 1 ] , [ 21, 20, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 10, 52, 43 ]
	60S¹³		216	1	54	0	0		[ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 51, 55, 50, 21 ]
	60T¹³		216	1	54	0	0		[ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 17, 15, 12, 53 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ]
	60U¹³		216	1	54	8	0		[ 7, 50, 32, 23 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 30, 42, 23 ]
	60V¹³		216	1	54	8	0		[ 1, 30, 0, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 50, 50, 1 ] , [ 57, 25, 2, 3 ] , [ 59, 0, 0, 59 ]
	60W¹³		216	1	54	8	0		[ 1, 25, 40, 41 ] , [ 17, 40, 22, 13 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ]
	60X¹³		216	1	54	8	0		[ 1, 25, 10, 11 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 57, 25, 2, 3 ] , [ 59, 0, 0, 59 ]
	60Y¹³		216	1	54	8	0		[ 21, 40, 20, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]
	60Z¹³		216	1	108	12	0		[ 1, 40, 40, 41 ] , [ 7, 30, 12, 43 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 57, 40, 32, 33 ]
	60AA¹³		216	1	108	12	0		[ 1, 15, 30, 31 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 51, 35, 10, 21 ]
	60AB¹³		216	2	18	12	0		[ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 57, 25, 32, 33 ] , [ 59, 0, 0, 59 ]
	60AC¹³		216	2	54	8	0		[ 7, 50, 32, 23 ] , [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]
	60AD¹³		216	2	54	8	0		[ 11, 35, 50, 1 ] , [ 21, 40, 50, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ]
	60AE¹³		216	2	54	8	0		[ 11, 35, 50, 1 ] , [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 57, 55, 2, 3 ]
	60AF¹³		216	2	54	8	0		[ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 41, 0, 0, 41 ]
	60AG¹³		216	2	54	12	0		[ 1, 30, 30, 1 ] , [ 17, 45, 42, 23 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 37, 5, 2, 23 ] , [ 41, 0, 0, 41 ] , [ 57, 25, 32, 33 ] , [ 59, 0, 0, 59 ]
	60AH¹³		240	1	40	24	0		[ 1, 20, 20, 41 ] , [ 1, 40, 40, 41 ] , [ 23, 50, 11, 37 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ]
	60AI¹³		288	1	72	0	0		[ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 13, 36, 36, 49 ] , [ 29, 0, 50, 29 ] , [ 31, 0, 30, 31 ] , [ 41, 30, 50, 41 ]
	60AJ¹³		288	1	72	0	0		[ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 24, 13 ]
	60AK¹³		288	1	72	32	0		[ 11, 40, 40, 31 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 45, 16 ] , [ 39, 46, 23, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ]
^	Level 63	Name	Index	con	len	c₂	c₃	>	SL(2,Z/63Z) Matrix Generators
	63A¹³		168	2	28	0	0		[ 20, 35, 49, 48 ] , [ 25, 60, 0, 58 ] , [ 28, 18, 54, 28 ] , [ 28, 36, 27, 55 ] , [ 38, 45, 42, 5 ] , [ 40, 33, 48, 16 ] , [ 43, 0, 21, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 58, 24, 21, 25 ]
	63B¹³		168	2	56	0	0		[ 6, 55, 29, 14 ] , [ 8, 35, 28, 36 ] , [ 10, 36, 18, 46 ] , [ 15, 56, 7, 22 ] , [ 19, 54, 27, 37 ] , [ 21, 13, 8, 29 ] , [ 22, 42, 21, 43 ] , [ 28, 36, 6, 55 ] , [ 43, 0, 21, 22 ] , [ 46, 6, 24, 10 ] , [ 55, 0, 0, 55 ]
	63C¹³		192	1	32	0	0		[ 1, 0, 9, 1 ] , [ 1, 0, 42, 1 ] , [ 22, 0, 0, 43 ] , [ 25, 0, 27, 58 ] , [ 41, 21, 49, 62 ] , [ 43, 42, 14, 43 ] , [ 43, 42, 56, 43 ]
	63D¹³		192	2	32	0	0		[ 1, 0, 18, 1 ] , [ 1, 0, 21, 1 ] , [ 4, 42, 41, 37 ] , [ 22, 21, 14, 22 ] , [ 25, 21, 36, 58 ] , [ 41, 21, 35, 41 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 43, 21, 56, 1 ]
	63E¹³		288	1	32	0	0		[ 1, 0, 23, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 42, 1 ] , [ 22, 0, 0, 43 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 42, 22 ] , [ 50, 0, 7, 29 ] , [ 50, 0, 38, 29 ] , [ 55, 0, 54, 55 ]
^	Level 64	Name	Index	con	len	c₂	c₃	>	SL(2,Z/64Z) Matrix Generators
	64A¹³		192	1	12	0	0		[ 1, 32, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 5, 50, 40, 29 ] , [ 15, 36, 16, 47 ] , [ 17, 16, 0, 49 ] , [ 17, 22, 24, 1 ] , [ 21, 20, 48, 61 ] , [ 33, 24, 32, 33 ] , [ 33, 32, 0, 33 ] , [ 41, 4, 16, 25 ] , [ 49, 12, 48, 17 ] , [ 49, 48, 0, 17 ] , [ 57, 56, 32, 9 ]
	64B¹³		192	1	12	0	0		[ 1, 32, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 5, 50, 8, 29 ] , [ 15, 36, 16, 47 ] , [ 17, 16, 0, 49 ] , [ 17, 22, 56, 1 ] , [ 21, 20, 48, 61 ] , [ 33, 24, 32, 33 ] , [ 33, 32, 0, 33 ] , [ 41, 4, 16, 25 ] , [ 49, 12, 48, 17 ] , [ 49, 48, 0, 17 ] , [ 57, 56, 32, 9 ]
	64C¹³		192	1	12	0	0		[ 1, 16, 0, 1 ] , [ 1, 20, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 9, 32, 32, 57 ] , [ 11, 22, 24, 19 ] , [ 13, 12, 32, 5 ] , [ 17, 0, 0, 49 ] , [ 19, 50, 8, 11 ] , [ 21, 50, 8, 13 ] , [ 33, 48, 0, 33 ] , [ 57, 12, 48, 9 ] , [ 57, 60, 48, 9 ]
	64D¹³		192	1	12	0	0		[ 1, 16, 0, 1 ] , [ 1, 20, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 9, 32, 32, 57 ] , [ 9, 58, 56, 41 ] , [ 11, 22, 24, 19 ] , [ 17, 0, 0, 49 ] , [ 19, 50, 8, 11 ] , [ 21, 50, 8, 13 ] , [ 33, 48, 0, 33 ] , [ 57, 12, 48, 9 ] , [ 57, 60, 48, 9 ]
	64E¹³		192	1	12	0	0		[ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 8, 7, 57, 34 ] , [ 9, 40, 24, 57 ] , [ 12, 51, 61, 30 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 2, 46, 61 ] , [ 33, 32, 32, 33 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ]
	64F¹³		192	1	12	0	0		[ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 9, 40, 24, 57 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 2, 46, 61 ] , [ 33, 32, 32, 33 ] , [ 44, 51, 61, 30 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ] , [ 62, 23, 9, 56 ]
	64G¹³		192	1	12	0	0		[ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 21, 36, 28, 45 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 34, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 42, 51, 13, 28 ] , [ 49, 16, 48, 17 ] , [ 51, 4, 60, 11 ] , [ 53, 4, 60, 13 ] , [ 59, 2, 30, 39 ]
	64H¹³		192	1	12	0	0		[ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 21, 36, 28, 45 ] , [ 24, 33, 47, 14 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 34, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 49, 16, 48, 17 ] , [ 51, 4, 60, 11 ] , [ 53, 4, 60, 13 ] , [ 59, 2, 30, 39 ]
	64I¹³		192	1	24	0	0		[ 1, 32, 32, 1 ] , [ 5, 52, 12, 61 ] , [ 9, 40, 24, 57 ] , [ 12, 51, 61, 30 ] , [ 13, 52, 28, 53 ] , [ 19, 26, 38, 15 ] , [ 25, 40, 56, 41 ] , [ 31, 32, 32, 31 ] , [ 33, 32, 32, 33 ] , [ 49, 16, 48, 17 ] , [ 61, 6, 26, 33 ] , [ 62, 23, 9, 56 ]
	64J¹³		192	1	24	0	0		[ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 17, 18, 30, 13 ] , [ 21, 36, 28, 45 ] , [ 24, 33, 47, 14 ] , [ 27, 18, 46, 7 ] , [ 31, 46, 2, 3 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 48, 33 ] , [ 41, 8, 56, 25 ] , [ 45, 36, 12, 21 ] , [ 49, 16, 48, 17 ] , [ 53, 4, 60, 13 ]
	64K¹³		192	1	24	8	0		[ 1, 16, 16, 1 ] , [ 1, 32, 32, 1 ] , [ 11, 52, 20, 19 ] , [ 20, 11, 45, 44 ] , [ 28, 31, 49, 4 ] , [ 33, 32, 32, 33 ] , [ 33, 40, 40, 33 ] , [ 45, 24, 24, 37 ] , [ 49, 16, 16, 17 ] , [ 57, 40, 40, 9 ] , [ 63, 0, 0, 63 ]
	64L¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 29, 12, 44, 5 ] , [ 30, 27, 33, 2 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 22, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ] , [ 63, 18, 2, 27 ]
	64M¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 28, 57, 39, 52 ] , [ 29, 12, 44, 5 ] , [ 30, 27, 33, 2 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 54, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ]
	64N¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 38, 59, 1, 42 ] , [ 41, 6, 6, 29 ] , [ 41, 8, 8, 25 ] , [ 43, 46, 46, 15 ] , [ 48, 35, 53, 0 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]
	64O¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 38, 59, 1, 42 ] , [ 40, 53, 35, 40 ] , [ 41, 6, 38, 29 ] , [ 41, 8, 8, 25 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]
	64P¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 17, 8, 24, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 28, 57, 39, 52 ] , [ 29, 12, 44, 5 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 54, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 58 ]
	64Q¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 17, 8, 24, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 24, 24, 41 ] , [ 29, 12, 44, 5 ] , [ 31, 48, 16, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 38, 22, 61 ] , [ 49, 48, 48, 17 ] , [ 54, 27, 33, 26 ] , [ 63, 18, 2, 27 ]
	64R¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 14, 43, 49, 50 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 24, 40, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 41, 6, 6, 29 ] , [ 41, 8, 8, 25 ] , [ 43, 46, 46, 15 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]
	64S¹³		192	1	48	8	0		[ 1, 32, 32, 1 ] , [ 14, 43, 49, 18 ] , [ 16, 35, 53, 0 ] , [ 17, 16, 16, 49 ] , [ 25, 40, 8, 41 ] , [ 33, 24, 40, 33 ] , [ 33, 32, 32, 33 ] , [ 37, 4, 36, 61 ] , [ 40, 53, 35, 40 ] , [ 41, 6, 38, 29 ] , [ 41, 8, 8, 25 ] , [ 63, 0, 0, 63 ] , [ 63, 48, 16, 63 ]
	64T¹³		192	2	24	8	0		[ 3, 46, 62, 55 ] , [ 9, 40, 40, 57 ] , [ 17, 16, 16, 49 ] , [ 17, 32, 32, 49 ] , [ 21, 36, 4, 13 ] , [ 25, 16, 16, 41 ] , [ 33, 0, 0, 33 ] , [ 33, 32, 32, 33 ] , [ 52, 15, 33, 44 ] , [ 53, 20, 52, 45 ] , [ 63, 32, 32, 63 ]
	64U¹³		192	2	96	4	0		[ 1, 32, 32, 1 ] , [ 17, 48, 16, 49 ] , [ 23, 12, 20, 55 ] , [ 25, 48, 48, 41 ] , [ 27, 0, 48, 19 ] , [ 33, 0, 0, 33 ] , [ 33, 8, 56, 33 ] , [ 35, 4, 44, 27 ] , [ 41, 56, 40, 25 ] , [ 49, 32, 32, 17 ] , [ 55, 12, 20, 23 ] , [ 60, 59, 29, 36 ] , [ 63, 32, 32, 63 ]
	64V¹³		384	1	6	0	0		[ 1, 8, 32, 1 ] , [ 1, 32, 0, 1 ] , [ 9, 48, 0, 57 ] , [ 17, 8, 32, 49 ] , [ 17, 48, 0, 49 ] , [ 25, 24, 32, 41 ] , [ 33, 16, 0, 33 ] , [ 33, 32, 0, 33 ] , [ 37, 38, 40, 29 ] , [ 41, 4, 48, 25 ] , [ 63, 0, 0, 63 ]
	64W¹³		384	1	24	0	0		[ 1, 32, 32, 1 ] , [ 23, 56, 8, 39 ] , [ 31, 14, 18, 35 ] , [ 31, 46, 50, 35 ] , [ 33, 32, 32, 33 ] , [ 34, 57, 55, 32 ] , [ 49, 48, 16, 17 ] , [ 57, 26, 38, 5 ] , [ 57, 40, 56, 9 ] , [ 57, 56, 8, 9 ] , [ 61, 28, 36, 5 ] , [ 63, 14, 18, 3 ]
^	Level 65	Name	Index	con	len	c₂	c₃	>	SL(2,Z/65Z) Matrix Generators
	65A¹³		252	1	84	12	0		[ 1, 10, 5, 51 ] , [ 14, 0, 0, 14 ] , [ 27, 39, 26, 40 ] , [ 51, 0, 0, 51 ] , [ 53, 39, 0, 27 ] , [ 56, 25, 35, 11 ]
^	Level 66	Name	Index	con	len	c₂	c₃	>	SL(2,Z/66Z) Matrix Generators
	66A¹³		192	1	48	0	0		[ 1, 33, 33, 34 ] , [ 23, 44, 22, 45 ] , [ 31, 48, 42, 31 ] , [ 43, 55, 11, 54 ] , [ 55, 30, 48, 13 ]
	66B¹³		198	2	99	12	0		[ 1, 11, 44, 23 ] , [ 1, 22, 22, 23 ] , [ 11, 25, 40, 55 ] , [ 13, 65, 44, 17 ] , [ 23, 0, 0, 23 ] , [ 65, 0, 0, 65 ]
^	Level 68	Name	Index	con	len	c₂	c₃	>	SL(2,Z/68Z) Matrix Generators
	68A¹³		216	1	54	0	0		[ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 52, 51, 5, 18 ] , [ 52, 51, 29, 18 ] , [ 52, 51, 57, 18 ] , [ 53, 0, 42, 9 ]
	68B¹³		216	1	54	0	0		[ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 52, 51, 5, 18 ] , [ 52, 51, 29, 18 ] , [ 52, 51, 57, 18 ] , [ 53, 0, 48, 9 ]
	68C¹³		216	1	54	8	0		[ 1, 0, 44, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 34, 34, 1 ] , [ 18, 51, 37, 18 ] , [ 18, 51, 53, 18 ] , [ 21, 0, 52, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 58, 35 ] , [ 36, 51, 21, 26 ] , [ 53, 0, 42, 9 ]
	68D¹³		216	1	54	8	0		[ 1, 0, 24, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 48, 21 ] , [ 18, 17, 11, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 34, 42, 15 ] , [ 67, 0, 64, 67 ]
^	Level 69	Name	Index	con	len	c₂	c₃	>	SL(2,Z/69Z) Matrix Generators
	69A¹³		192	1	96	0	0		[ 1, 0, 23, 1 ] , [ 49, 54, 6, 1 ] , [ 55, 66, 6, 16 ] , [ 67, 27, 15, 4 ] , [ 68, 0, 0, 68 ]
^	Level 70	Name	Index	con	len	c₂	c₃	>	SL(2,Z/70Z) Matrix Generators
	70A¹³		168	2	42	0	0		[ 9, 52, 54, 1 ] , [ 11, 50, 60, 31 ] , [ 15, 42, 42, 43 ] , [ 29, 56, 56, 43 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 0, 40, 31 ] , [ 61, 30, 50, 51 ]
	70B¹³		168	2	42	0	0		[ 1, 35, 35, 36 ] , [ 1, 40, 55, 31 ] , [ 11, 50, 60, 31 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 30, 61 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 57, 42, 42, 15 ]
	70C¹³		168	2	42	0	0		[ 1, 30, 10, 21 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 43 ] , [ 31, 40, 40, 11 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 30, 50, 51 ]
	70D¹³		168	2	42	0	0		[ 1, 28, 56, 29 ] , [ 21, 20, 50, 41 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 43 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 61, 30, 50, 51 ]
	70E¹³		192	1	48	0	0		[ 1, 0, 30, 1 ] , [ 1, 56, 0, 1 ] , [ 29, 21, 20, 29 ] , [ 31, 35, 30, 61 ] , [ 36, 35, 35, 1 ] , [ 51, 0, 40, 11 ]
	70F¹³		192	1	48	0	0		[ 1, 0, 50, 1 ] , [ 1, 56, 0, 1 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 40, 41 ] , [ 51, 0, 40, 11 ]
^	Level 72	Name	Index	con	len	c₂	c₃	>	SL(2,Z/72Z) Matrix Generators
	72A¹³		192	1	16	0	0		[ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 5, 20, 36, 29 ] , [ 11, 56, 36, 59 ] , [ 25, 0, 0, 49 ] , [ 25, 5, 9, 22 ] , [ 25, 40, 0, 49 ] , [ 37, 48, 36, 37 ] , [ 41, 56, 36, 65 ] , [ 49, 8, 0, 25 ] , [ 67, 64, 0, 43 ]
	72B¹³		192	1	16	0	0		[ 1, 9, 45, 46 ] , [ 1, 48, 0, 1 ] , [ 13, 40, 36, 61 ] , [ 19, 0, 36, 19 ] , [ 37, 0, 36, 37 ] , [ 37, 16, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] , [ 49, 0, 0, 25 ] , [ 49, 16, 0, 25 ] , [ 65, 52, 36, 41 ]
	72C¹³		192	1	32	0	6		[ 1, 8, 24, 49 ] , [ 1, 48, 0, 1 ] , [ 1, 61, 9, 46 ] , [ 7, 16, 12, 7 ] , [ 17, 32, 60, 41 ] , [ 25, 0, 0, 49 ] , [ 31, 48, 36, 7 ] , [ 37, 0, 36, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 36, 36, 25 ] , [ 55, 60, 0, 55 ]
	72D¹³		192	1	32	0	6		[ 1, 8, 24, 49 ] , [ 1, 40, 48, 49 ] , [ 1, 48, 0, 1 ] , [ 1, 61, 9, 46 ] , [ 25, 0, 0, 49 ] , [ 25, 4, 12, 25 ] , [ 37, 0, 36, 37 ] , [ 41, 56, 24, 17 ] , [ 49, 0, 0, 25 ] , [ 49, 36, 36, 25 ] , [ 71, 64, 48, 23 ]
	72E¹³		192	1	64	0	0		[ 1, 24, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 9, 37 ] , [ 25, 0, 0, 49 ] , [ 25, 48, 0, 49 ] , [ 37, 9, 9, 10 ] , [ 49, 24, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 0, 41 ]
	72F¹³		216	1	18	12	0		[ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 0, 36, 17 ] , [ 19, 54, 36, 19 ] , [ 23, 66, 48, 47 ] , [ 25, 46, 22, 29 ] , [ 29, 26, 50, 25 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 22, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 27, 0, 55 ]
	72G¹³		216	1	18	12	0		[ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 7, 24, 0, 31 ] , [ 11, 32, 44, 43 ] , [ 17, 0, 0, 17 ] , [ 41, 20, 68, 49 ] , [ 49, 13, 34, 59 ] , [ 49, 48, 0, 25 ] , [ 53, 23, 50, 19 ] , [ 61, 15, 54, 31 ] , [ 61, 60, 0, 13 ]
	72H¹³		216	1	18	12	0		[ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 58, 40, 17 ] , [ 7, 24, 0, 31 ] , [ 17, 0, 0, 17 ] , [ 17, 11, 62, 19 ] , [ 17, 20, 8, 1 ] , [ 49, 48, 0, 25 ] , [ 59, 20, 32, 67 ] , [ 61, 60, 0, 13 ] , [ 65, 32, 8, 25 ]
	72I¹³		216	1	27	16	0		[ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 48, 24, 17 ] , [ 19, 30, 60, 19 ] , [ 25, 16, 16, 65 ] , [ 35, 55, 34, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 30, 12, 65 ] , [ 47, 24, 24, 23 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ]
	72J¹³		216	1	54	8	0		[ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 4, 4, 17 ] , [ 1, 40, 34, 65 ] , [ 5, 6, 63, 47 ] , [ 5, 68, 8, 37 ] , [ 7, 4, 28, 47 ] , [ 7, 24, 48, 31 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ]
	72K¹³		216	1	54	8	0		[ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 24, 48, 31 ] , [ 13, 4, 58, 29 ] , [ 13, 40, 28, 53 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 0, 36, 37 ] , [ 41, 42, 3, 47 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] , [ 59, 24, 60, 11 ]
	72L¹³		216	2	54	4	0		[ 1, 15, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 40, 2, 33 ] , [ 19, 18, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 6, 0, 49 ] , [ 27, 62, 46, 15 ] , [ 31, 6, 60, 7 ] , [ 37, 48, 24, 37 ] , [ 49, 24, 24, 25 ] , [ 57, 56, 22, 57 ] , [ 65, 48, 36, 41 ]
	72M¹³		216	2	54	16	0		[ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 37, 36, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 64, 27, 45, 28 ] , [ 65, 24, 24, 41 ]
	72N¹³		216	2	54	16	0		[ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 2, 8, 1 ] , [ 17, 38, 8, 1 ] , [ 17, 60, 48, 17 ] , [ 19, 45, 18, 1 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 44, 56, 53 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ]
	72O¹³		216	2	54	16	0		[ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 20, 44, 1 ] , [ 17, 56, 44, 1 ] , [ 25, 0, 24, 49 ] , [ 27, 17, 46, 69 ] , [ 37, 36, 0, 37 ] , [ 41, 32, 20, 49 ] , [ 45, 26, 64, 69 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ]
	72P¹³		216	2	54	16	0		[ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 2, 8, 1 ] , [ 17, 38, 8, 1 ] , [ 17, 60, 48, 17 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 45, 8, 28, 69 ] , [ 53, 12, 24, 53 ] , [ 55, 0, 0, 55 ] , [ 71, 65, 62, 1 ]
	72Q¹³		288	1	12	0	0		[ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 17, 52, 36, 17 ] , [ 17, 70, 36, 17 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]
	72R¹³		288	1	12	0	0		[ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]
	72S¹³		288	1	24	0	0		[ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 25, 8, 0, 49 ] , [ 35, 24, 0, 35 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 60, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 65, 51, 0, 41 ]
	72T¹³		288	1	48	0	0		[ 1, 18, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 27, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 19, 30, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 29, 50, 0, 5 ] , [ 49, 0, 0, 25 ] , [ 53, 44, 0, 53 ]
	72U¹³		288	1	48	0	0		[ 1, 18, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 17, 62, 0, 17 ] , [ 19, 63, 0, 19 ] , [ 37, 45, 0, 37 ] , [ 49, 0, 0, 25 ] , [ 55, 12, 0, 55 ] , [ 65, 32, 0, 41 ]
	72V¹³		288	1	48	0	0		[ 1, 0, 36, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 49, 64, 0, 25 ] , [ 71, 34, 0, 71 ]
	72W¹³		288	1	48	0	0		[ 1, 8, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 70, 36, 17 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 35, 70, 0, 35 ] , [ 37, 36, 36, 37 ] , [ 49, 64, 0, 25 ] , [ 71, 52, 0, 71 ]
^	Level 73	Name	Index	con	len	c₂	c₃	>	SL(2,Z/73Z) Matrix Generators
	73A¹³		222	1	74	6	6		[ 38, 24, 30, 67 ] , [ 39, 57, 72, 36 ] , [ 47, 38, 11, 26 ] , [ 55, 23, 66, 17 ] , [ 71, 30, 19, 43 ] , [ 72, 0, 0, 72 ]
^	Level 74	Name	Index	con	len	c₂	c₃	>	SL(2,Z/74Z) Matrix Generators
	74A¹³		228	1	38	0	12		[ 1, 37, 37, 38 ] , [ 7, 16, 52, 45 ] , [ 29, 18, 40, 7 ] , [ 67, 18, 40, 45 ] , [ 67, 26, 26, 9 ]
^	Level 75	Name	Index	con	len	c₂	c₃	>	SL(2,Z/75Z) Matrix Generators
	75A¹³		180	1	90	4	0		[ 16, 0, 15, 61 ] , [ 31, 15, 15, 46 ] , [ 44, 45, 0, 29 ] , [ 56, 15, 15, 71 ] , [ 63, 58, 5, 57 ] , [ 67, 3, 3, 55 ] , [ 73, 3, 0, 37 ]
	75B¹³		180	1	90	4	0		[ 16, 15, 0, 61 ] , [ 19, 51, 33, 61 ] , [ 43, 6, 51, 49 ] , [ 56, 62, 14, 49 ] , [ 61, 30, 30, 16 ] , [ 64, 60, 30, 34 ] , [ 74, 69, 24, 68 ]
	75C¹³		180	1	90	4	0		[ 19, 63, 21, 46 ] , [ 22, 18, 48, 70 ] , [ 26, 0, 0, 26 ] , [ 31, 0, 30, 46 ] , [ 31, 15, 15, 46 ] , [ 34, 45, 15, 64 ] , [ 61, 25, 10, 41 ]
	75D¹³		180	1	90	4	0		[ 1, 26, 26, 2 ] , [ 16, 15, 0, 61 ] , [ 20, 12, 72, 62 ] , [ 25, 27, 12, 7 ] , [ 46, 60, 60, 31 ] , [ 49, 60, 15, 49 ] , [ 70, 39, 66, 70 ]
^	Level 77	Name	Index	con	len	c₂	c₃	>	SL(2,Z/77Z) Matrix Generators
	77A¹³		168	2	84	0	0		[ 23, 22, 11, 34 ] , [ 34, 0, 0, 34 ] , [ 45, 33, 33, 67 ] , [ 62, 21, 56, 55 ] , [ 67, 11, 22, 45 ] , [ 69, 49, 63, 76 ] , [ 76, 0, 0, 76 ]
	77B¹³		192	1	96	0	0		[ 1, 66, 55, 12 ] , [ 8, 56, 28, 71 ] , [ 15, 14, 35, 43 ] , [ 45, 33, 44, 34 ] , [ 76, 0, 0, 76 ]
^	Level 78	Name	Index	con	len	c₂	c₃	>	SL(2,Z/78Z) Matrix Generators
	78A¹³		168	1	14	0	0		[ 1, 72, 18, 49 ] , [ 27, 52, 26, 27 ] , [ 31, 72, 42, 7 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]
	78B¹³		168	1	42	0	0		[ 1, 26, 65, 53 ] , [ 7, 6, 36, 31 ] , [ 31, 32, 14, 17 ] , [ 31, 54, 48, 61 ] , [ 40, 39, 39, 1 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ]
	78C¹³		168	1	42	0	0		[ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 31, 72, 42, 7 ] , [ 43, 30, 66, 37 ] , [ 47, 56, 26, 31 ] , [ 53, 0, 0, 53 ] , [ 77, 0, 0, 77 ]
	78D¹³		168	1	42	0	0		[ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 43, 54, 48, 73 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 65, 1 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]
	78E¹³		168	1	42	0	0		[ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 43, 54, 48, 73 ] , [ 43, 72, 12, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 54, 72, 19 ]
	78F¹³		224	1	56	0	8		[ 1, 0, 52, 1 ] , [ 7, 6, 36, 31 ] , [ 11, 36, 76, 29 ] , [ 19, 24, 6, 61 ] , [ 37, 75, 76, 55 ] , [ 40, 39, 39, 1 ]
	78G¹³		224	1	56	0	8		[ 1, 0, 26, 1 ] , [ 1, 0, 52, 1 ] , [ 7, 6, 10, 31 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ]
	78H¹³		252	1	42	24	0		[ 1, 26, 65, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 13, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 60, 49 ] , [ 73, 18, 24, 7 ]
^	Level 80	Name	Index	con	len	c₂	c₃	>	SL(2,Z/80Z) Matrix Generators
	80A¹³		192	2	48	8	0		[ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 24, 51, 53, 16 ] , [ 26, 5, 45, 21 ] , [ 41, 40, 0, 41 ] , [ 61, 60, 40, 21 ] , [ 65, 8, 48, 33 ] , [ 65, 32, 32, 17 ] , [ 79, 0, 0, 79 ]
	80B¹³		192	2	48	8	0		[ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 24, 51, 53, 16 ] , [ 26, 5, 45, 21 ] , [ 41, 40, 0, 41 ] , [ 61, 60, 40, 21 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 79, 0, 0, 79 ]
	80C¹³		288	1	18	32	0		[ 1, 40, 40, 1 ] , [ 3, 42, 42, 55 ] , [ 16, 37, 19, 64 ] , [ 17, 48, 48, 65 ] , [ 33, 16, 16, 49 ] , [ 49, 0, 0, 49 ] , [ 57, 8, 8, 25 ] , [ 65, 32, 32, 17 ] , [ 69, 44, 44, 13 ] , [ 71, 60, 60, 71 ] , [ 79, 0, 0, 79 ]
	80D¹³		288	1	36	0	0		[ 1, 40, 40, 1 ] , [ 9, 50, 70, 69 ] , [ 16, 15, 65, 6 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 40, 49 ] , [ 61, 20, 60, 21 ]
	80E¹³		288	1	36	0	0		[ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ]
	80F¹³		288	1	72	0	0		[ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 54, 55, 65, 4 ]
	80G¹³		288	1	72	0	0		[ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 17, 48, 48, 65 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ]
	80H¹³		288	1	72	8	0		[ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 31, 13, 6 ] , [ 54, 63, 61, 46 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ]
	80I¹³		288	1	72	8	0		[ 1, 40, 40, 1 ] , [ 21, 40, 40, 61 ] , [ 33, 32, 32, 65 ] , [ 39, 20, 60, 39 ] , [ 41, 0, 0, 41 ] , [ 54, 63, 61, 46 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ]
^	Level 81	Name	Index	con	len	c₂	c₃	>	SL(2,Z/81Z) Matrix Generators
	81A¹³		324	2	36	0	0		[ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 16, 63, 53, 67 ] , [ 35, 0, 0, 44 ] , [ 46, 27, 51, 37 ] , [ 55, 0, 0, 28 ] , [ 58, 45, 79, 25 ] , [ 64, 0, 0, 19 ]
^	Level 82	Name	Index	con	len	c₂	c₃	>	SL(2,Z/82Z) Matrix Generators
	82A¹³		168	1	42	0	0		[ 1, 41, 41, 42 ] , [ 13, 18, 74, 71 ] , [ 47, 16, 72, 35 ] , [ 71, 62, 74, 45 ] , [ 81, 0, 0, 81 ]
^	Level 84	Name	Index	con	len	c₂	c₃	>	SL(2,Z/84Z) Matrix Generators
	84A¹³		168	2	56	0	3		[ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 12, 24, 1 ] , [ 43, 72, 60, 79 ] , [ 49, 12, 60, 49 ] , [ 49, 36, 48, 13 ] , [ 61, 36, 72, 37 ]
	84B¹³		168	2	84	0	0		[ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 42, 43 ] , [ 13, 0, 0, 13 ] , [ 25, 15, 60, 73 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 42, 71 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ]
	84C¹³		168	2	84	0	0		[ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 42, 43 ] , [ 13, 0, 0, 13 ] , [ 25, 36, 60, 73 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 42, 71 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ]
	84D¹³		168	2	168	0	3		[ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 29, 28, 70, 1 ] , [ 37, 72, 0, 25 ] , [ 43, 63, 77, 64 ] , [ 49, 12, 60, 49 ] , [ 61, 72, 60, 13 ] , [ 71, 28, 70, 43 ]
	84E¹³		192	1	64	0	6		[ 1, 24, 36, 25 ] , [ 1, 28, 28, 29 ] , [ 1, 56, 56, 29 ] , [ 13, 24, 72, 49 ] , [ 22, 21, 77, 1 ] , [ 29, 0, 0, 29 ] , [ 57, 28, 56, 57 ] , [ 71, 28, 28, 43 ] , [ 73, 24, 36, 13 ]
	84F¹³		192	1	96	0	0		[ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 0, 63, 13 ] , [ 13, 42, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 37, 60, 0, 25 ] , [ 41, 0, 56, 41 ] , [ 43, 0, 42, 43 ]
	84G¹³		192	1	96	0	0		[ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 29, 0, 56, 29 ] , [ 37, 60, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 63, 1 ]
	84H¹³		192	1	192	0	6		[ 1, 14, 56, 29 ] , [ 1, 77, 21, 22 ] , [ 15, 56, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 41, 0, 0, 41 ] , [ 49, 36, 48, 13 ] , [ 61, 48, 72, 25 ]
	84I¹³		192	2	32	0	6		[ 1, 28, 28, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 44, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 0, 0, 43 ] , [ 61, 48, 72, 25 ]
	84J¹³		252	1	84	30	0		[ 13, 0, 0, 13 ] , [ 15, 7, 14, 57 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 24, 36, 37 ] , [ 49, 12, 60, 49 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ]
	84K¹³		256	1	32	0	16		[ 1, 0, 28, 1 ] , [ 1, 42, 42, 1 ] , [ 1, 63, 63, 22 ] , [ 13, 24, 72, 49 ] , [ 37, 12, 60, 49 ] , [ 41, 0, 42, 41 ] , [ 43, 0, 42, 43 ]
^	Level 85	Name	Index	con	len	c₂	c₃	>	SL(2,Z/85Z) Matrix Generators
	85A¹³		180	1	90	4	0		[ 1, 0, 15, 1 ] , [ 1, 68, 51, 69 ] , [ 16, 0, 0, 16 ] , [ 35, 51, 34, 69 ] , [ 52, 51, 0, 18 ] , [ 69, 0, 0, 69 ] , [ 76, 0, 5, 66 ] , [ 81, 0, 30, 21 ]
	85B¹³		180	1	180	4	0		[ 1, 0, 45, 1 ] , [ 14, 34, 46, 45 ] , [ 16, 0, 0, 16 ] , [ 26, 0, 55, 36 ] , [ 35, 17, 17, 35 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ]
	85C¹³		216	1	108	8	0		[ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 36, 51, 0, 26 ] , [ 52, 51, 0, 18 ] , [ 69, 51, 0, 69 ]
^	Level 87	Name	Index	con	len	c₂	c₃	>	SL(2,Z/87Z) Matrix Generators
	87A¹³		180	1	90	4	0		[ 13, 54, 57, 16 ] , [ 28, 0, 0, 28 ] , [ 55, 54, 12, 64 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 58, 1 ] , [ 76, 48, 84, 13 ]
^	Level 89	Name	Index	con	len	c₂	c₃	>	SL(2,Z/89Z) Matrix Generators
	89A¹³		180	1	90	4	0		[ 29, 71, 4, 62 ] , [ 31, 23, 12, 52 ] , [ 33, 59, 50, 22 ] , [ 80, 40, 17, 43 ]
^	Level 90	Name	Index	con	len	c₂	c₃	>	SL(2,Z/90Z) Matrix Generators
	90A¹³		180	1	90	4	0		[ 1, 0, 30, 1 ] , [ 9, 10, 35, 9 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 37, 18, 36, 37 ] , [ 46, 15, 15, 1 ] , [ 46, 45, 45, 1 ] , [ 71, 60, 30, 71 ] , [ 73, 0, 18, 37 ]
	90B¹³		180	1	90	8	0		[ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 25, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 77 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ]
	90C¹³		180	1	180	4	0		[ 9, 10, 35, 9 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 15, 15, 16 ] , [ 31, 45, 75, 16 ] , [ 37, 18, 36, 37 ] , [ 61, 0, 0, 31 ] , [ 71, 60, 30, 71 ] , [ 73, 0, 18, 37 ]
	90D¹³		180	1	180	8	0		[ 16, 15, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 37, 0, 54, 73 ] , [ 41, 30, 30, 11 ] , [ 55, 72, 72, 19 ] , [ 61, 30, 30, 31 ] , [ 81, 25, 50, 81 ] , [ 89, 68, 68, 55 ]
	90E¹³		216	1	54	16	0		[ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 61, 0, 60, 31 ] , [ 61, 60, 0, 31 ] , [ 71, 30, 60, 71 ] , [ 71, 80, 20, 1 ] , [ 89, 22, 49, 1 ] , [ 89, 30, 60, 89 ]
	90F¹³		216	1	108	8	0		[ 1, 45, 45, 46 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 30, 30, 61 ] , [ 55, 18, 18, 37 ] , [ 55, 36, 9, 55 ] , [ 71, 80, 20, 1 ]
	90G¹³		216	1	108	8	0		[ 1, 0, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 80, 35, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 72, 1 ] , [ 61, 30, 0, 31 ] , [ 71, 0, 60, 71 ] , [ 73, 54, 54, 19 ] , [ 89, 0, 0, 89 ]
	90H¹³		216	1	108	16	0		[ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 79, 22, 49, 41 ] , [ 81, 40, 20, 81 ]
	90I¹³		216	1	216	8	0		[ 1, 80, 35, 11 ] , [ 14, 45, 75, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 72, 1 ] , [ 61, 30, 0, 31 ] , [ 61, 45, 45, 76 ] , [ 61, 45, 75, 76 ] , [ 73, 54, 54, 19 ] , [ 86, 45, 45, 11 ]
^	Level 91	Name	Index	con	len	c₂	c₃	>	SL(2,Z/91Z) Matrix Generators
	91A¹³		196	2	98	4	4		[ 14, 78, 13, 14 ] , [ 18, 44, 2, 10 ] , [ 19, 4, 46, 72 ] , [ 27, 0, 0, 27 ] , [ 66, 26, 26, 53 ] , [ 66, 78, 0, 40 ] , [ 72, 70, 64, 18 ] , [ 90, 0, 0, 90 ]
	91B¹³		224	1	112	0	8		[ 1, 0, 78, 1 ] , [ 27, 0, 0, 27 ] , [ 64, 0, 0, 64 ] , [ 64, 56, 77, 29 ] , [ 71, 7, 70, 71 ] , [ 79, 0, 78, 53 ]
^	Level 96	Name	Index	con	len	c₂	c₃	>	SL(2,Z/96Z) Matrix Generators
	96A¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 11, 30, 74, 71 ] , [ 22, 39, 9, 64 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 90, 7 ] , [ 49, 48, 48, 49 ] , [ 67, 42, 54, 31 ]
	96B¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 64, 45, 27, 70 ] , [ 67, 42, 54, 31 ] , [ 86, 39, 41, 32 ]
	96C¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 64 ] , [ 22, 39, 9, 64 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 64, 51, 69, 10 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]
	96D¹³		192	1	24	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 49, 48, 48, 49 ] , [ 64, 45, 27, 70 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]
	96E¹³		192	1	48	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 42, 7 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 67, 42, 54, 31 ] , [ 86, 39, 41, 32 ]
	96F¹³		192	1	48	0	0		[ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 57, 87, 16 ] , [ 22, 39, 9, 16 ] , [ 25, 24, 72, 73 ] , [ 37, 60, 84, 61 ] , [ 37, 84, 12, 61 ] , [ 43, 30, 42, 7 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 67, 42, 54, 31 ]
	96G¹³		288	1	36	40	0		[ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 7, 44, 50, 95 ] , [ 33, 2, 31, 63 ] , [ 33, 32, 64, 33 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ]
	96H¹³		288	2	36	40	0		[ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 72, 1 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA