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