[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:
9
10
11
12
14
15
16
17
18
20
21
22
24
25
26
27
28
29
30
32
33
35
36
37
38
39
40
42
44
45
46
47
48
50
52
53
54
55
56
58
60
61
62
63
65
66
70
72
74
75
76
77
78
80
81
84
90
108
^ | Level 9 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/9Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
9A4 | 108 | 1 | 3 | 0 | 0 | [ 7, 3, 3, 4 ] , [ 8, 0, 0, 8 ] | |||
9B4 | 108 | 1 | 6 | 0 | 0 | [ 4, 0, 3, 7 ] , [ 8, 0, 0, 8 ] | |||
9C4 | 162 | 1 | 27 | 6 | 0 | [ 4, 1, 1, 5 ] , [ 5, 8, 8, 4 ] , [ 8, 0, 0, 8 ] | |||
^ | Level 10 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/10Z) Matrix Generators |
10A4 | 90 | 1 | 5 | 0 | 0 | [ 3, 4, 0, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 2, 4, 1 ] | |||
10B4 | 180 | 1 | 3 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 9, 0, 0, 9 ] | |||
^ | Level 11 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/11Z) Matrix Generators |
11A4 | 110 | 1 | 55 | 2 | 2 | [ 1, 8, 8, 10 ] , [ 8, 2, 2, 2 ] , [ 10, 0, 0, 10 ] | |||
^ | Level 12 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/12Z) Matrix Generators |
12A4 | 72 | 1 | 1 | 0 | 0 | [ 1, 4, 4, 5 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] | |||
12B4 | 72 | 1 | 6 | 0 | 0 | [ 1, 4, 10, 5 ] , [ 3, 10, 8, 3 ] , [ 5, 0, 0, 5 ] , [ 9, 10, 8, 9 ] , [ 11, 10, 10, 7 ] | |||
12C4 | 72 | 1 | 9 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 2, 2, 11 ] , [ 9, 4, 8, 9 ] , [ 11, 2, 2, 7 ] | |||
12D4 | 96 | 1 | 32 | 0 | 3 | [ 2, 3, 7, 5 ] , [ 5, 9, 5, 2 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 11, 1 ] | |||
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
14A4 | 126 | 2 | 21 | 6 | 0 | [ 1, 0, 7, 1 ] , [ 5, 8, 2, 9 ] , [ 7, 2, 10, 7 ] , [ 13, 0, 0, 13 ] | |||
14B4 | 144 | 1 | 8 | 0 | 0 | [ 3, 6, 2, 9 ] , [ 3, 10, 8, 13 ] , [ 5, 6, 2, 11 ] , [ 7, 2, 10, 9 ] , [ 13, 4, 6, 3 ] | |||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A4 | 60 | 1 | 5 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 4, 12, 12, 10 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] | |||
15B4 | 60 | 1 | 10 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] | |||
15C4 | 90 | 1 | 15 | 6 | 0 | [ 3, 5, 13, 12 ] , [ 4, 0, 0, 4 ] , [ 4, 12, 9, 1 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] | |||
15D4 | 90 | 1 | 15 | 6 | 0 | [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] | |||
15E4 | 120 | 2 | 60 | 4 | 6 | [ 2, 10, 7, 13 ] , [ 4, 9, 1, 10 ] , [ 13, 4, 10, 2 ] , [ 14, 0, 0, 14 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A4 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 4, 9, 7, 0 ] , [ 8, 7, 9, 4 ] , [ 8, 9, 7, 12 ] , [ 15, 0, 8, 15 ] , [ 15, 4, 12, 15 ] | |||
16B4 | 96 | 1 | 24 | 4 | 0 | [ 1, 8, 8, 1 ] , [ 1, 12, 4, 1 ] , [ 9, 8, 8, 9 ] , [ 12, 5, 3, 12 ] , [ 12, 13, 11, 12 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 12, 15 ] | |||
16C4 | 96 | 1 | 24 | 4 | 0 | [ 0, 9, 7, 8 ] , [ 1, 8, 8, 1 ] , [ 3, 0, 8, 11 ] , [ 8, 11, 13, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 8, 8, 15 ] | |||
^ | Level 17 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/17Z) Matrix Generators |
17A4 | 102 | 1 | 102 | 6 | 3 | [ 6, 5, 13, 11 ] , [ 9, 9, 7, 9 ] , [ 10, 16, 16, 7 ] , [ 16, 0, 0, 16 ] , [ 16, 14, 14, 7 ] | |||
17B4 | 102 | 1 | 102 | 6 | 3 | [ 4, 0, 16, 13 ] , [ 6, 14, 1, 11 ] , [ 13, 9, 14, 15 ] , [ 15, 4, 12, 1 ] , [ 16, 0, 0, 16 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A4 | 54 | 1 | 9 | 0 | 0 | [ 5, 0, 12, 11 ] , [ 7, 0, 12, 13 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 15, 14, 16, 9 ] | |||
18B4 | 54 | 1 | 27 | 0 | 0 | [ 1, 8, 8, 11 ] , [ 1, 16, 10, 17 ] , [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] | |||
18C4 | 72 | 1 | 4 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 12, 2, 7 ] , [ 13, 0, 0, 7 ] , [ 17, 0, 0, 17 ] | |||
18D4 | 72 | 1 | 4 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 13, 0, 0, 7 ] , [ 13, 6, 2, 1 ] , [ 17, 0, 0, 17 ] | |||
18E4 | 72 | 1 | 4 | 0 | 0 | [ 1, 9, 9, 10 ] , [ 10, 9, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 13, 9, 9, 16 ] , [ 17, 0, 0, 17 ] | |||
18F4 | 72 | 1 | 8 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 3, 13, 4 ] , [ 7, 0, 0, 13 ] , [ 17, 0, 0, 17 ] | |||
18G4 | 72 | 1 | 8 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 13 ] , [ 7, 9, 17, 4 ] , [ 17, 0, 0, 17 ] | |||
18H4 | 72 | 1 | 8 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 7, 15, 9, 4 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18I4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 15, 17, 16 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ] | |||
18J4 | 72 | 1 | 24 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 10, 3, 13, 13 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ] | |||
18K4 | 81 | 1 | 81 | 3 | 0 | [ 1, 12, 2, 7 ] , [ 1, 14, 14, 17 ] , [ 4, 1, 1, 14 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18L4 | 108 | 1 | 9 | 12 | 0 | [ 5, 16, 13, 13 ] , [ 7, 12, 0, 13 ] , [ 13, 0, 6, 7 ] , [ 17, 0, 0, 17 ] | |||
18M4 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 13, 0, 0, 7 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18N4 | 108 | 1 | 18 | 0 | 0 | [ 1, 6, 12, 1 ] , [ 7, 0, 0, 13 ] , [ 9, 14, 16, 3 ] , [ 17, 6, 12, 17 ] | |||
18O4 | 108 | 1 | 18 | 12 | 0 | [ 1, 9, 9, 10 ] , [ 9, 10, 17, 9 ] , [ 13, 0, 0, 7 ] , [ 17, 0, 0, 17 ] | |||
18P4 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 9, 1 ] , [ 1, 12, 2, 7 ] , [ 17, 0, 0, 17 ] | |||
18Q4 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 6, 8, 7 ] , [ 17, 0, 0, 17 ] | |||
18R4 | 108 | 1 | 36 | 12 | 0 | [ 4, 9, 9, 7 ] , [ 7, 3, 3, 4 ] , [ 9, 10, 17, 9 ] , [ 17, 0, 0, 17 ] | |||
18S4 | 108 | 2 | 9 | 12 | 0 | [ 0, 1, 17, 0 ] , [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] | |||
18T4 | 108 | 2 | 18 | 12 | 0 | [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 9, 10, 17, 9 ] , [ 16, 9, 9, 13 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A4 | 60 | 1 | 15 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 12, 13 ] , [ 17, 8, 16, 17 ] | |||
20B4 | 60 | 1 | 30 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 17, 10, 4, 13 ] | |||
20C4 | 60 | 1 | 30 | 2 | 0 | [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ] , [ 16, 15, 5, 16 ] , [ 17, 16, 0, 13 ] | |||
20D4 | 90 | 1 | 15 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ] | |||
20E4 | 90 | 1 | 15 | 6 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 5, 1 ] , [ 13, 4, 0, 17 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A4 | 72 | 1 | 8 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 6, 7, 14, 6 ] , [ 8, 0, 0, 8 ] , [ 8, 0, 15, 8 ] , [ 8, 14, 14, 1 ] , [ 15, 7, 14, 15 ] | |||
21B4 | 84 | 2 | 21 | 8 | 0 | [ 1, 12, 18, 7 ] , [ 7, 12, 18, 13 ] , [ 8, 0, 0, 8 ] , [ 10, 15, 18, 4 ] , [ 11, 1, 4, 10 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 9, 10 ] , [ 19, 12, 6, 16 ] | |||
21C4 | 96 | 2 | 32 | 0 | 3 | [ 1, 0, 9, 1 ] , [ 2, 0, 13, 11 ] , [ 4, 0, 1, 16 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 8, 10 ] | |||
21D4 | 126 | 1 | 63 | 18 | 0 | [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 15 ] , [ 19, 2, 8, 2 ] , [ 19, 6, 18, 19 ] | |||
21E4 | 126 | 2 | 7 | 18 | 0 | [ 1, 14, 14, 8 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 15 ] , [ 19, 9, 15, 16 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A4 | 72 | 1 | 12 | 0 | 0 | [ 5, 6, 10, 21 ] , [ 21, 6, 14, 3 ] , [ 21, 8, 20, 15 ] | |||
22B4 | 110 | 1 | 55 | 12 | 2 | [ 1, 8, 8, 21 ] , [ 12, 11, 11, 1 ] , [ 13, 14, 13, 9 ] , [ 13, 20, 20, 19 ] , [ 21, 0, 0, 21 ] | |||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A4 | 48 | 1 | 4 | 0 | 0 | [ 1, 9, 21, 22 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 4, 16, 13 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 15, 8, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24B4 | 48 | 1 | 12 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 1, 16, 4, 17 ] , [ 3, 20, 4, 3 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 17, 12, 12, 17 ] , [ 21, 8, 16, 21 ] | |||
24C4 | 64 | 1 | 64 | 0 | 1 | [ 1, 16, 0, 1 ] , [ 1, 18, 3, 7 ] , [ 5, 16, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 21, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 9, 9, 10 ] , [ 19, 22, 9, 13 ] | |||
24D4 | 72 | 1 | 3 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 0, 18, 13 ] , [ 13, 16, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 21, 16, 2, 21 ] | |||
24E4 | 72 | 1 | 9 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 5, 4, 4, 13 ] , [ 7, 0, 0, 7 ] , [ 9, 4, 8, 9 ] , [ 13, 0, 6, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 21, 20, 10, 21 ] | |||
24F4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 4, 19, 5 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 21, 16, 2, 21 ] | |||
24G4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 8, 17 ] , [ 1, 12, 18, 1 ] , [ 9, 4, 14, 9 ] , [ 9, 8, 16, 9 ] , [ 13, 0, 18, 13 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 0, 19 ] , [ 21, 16, 2, 21 ] | |||
24H4 | 72 | 1 | 12 | 6 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 15, 20, 4, 15 ] , [ 16, 17, 23, 8 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 0, 19 ] , [ 19, 20, 8, 11 ] , [ 23, 0, 0, 23 ] | |||
24I4 | 72 | 1 | 18 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 20, 11, 5 ] , [ 5, 0, 0, 5 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 19, 4, 22, 11 ] | |||
24J4 | 72 | 1 | 18 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 20, 11, 5 ] , [ 5, 0, 0, 5 ] , [ 11, 8, 14, 19 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] | |||
24K4 | 72 | 1 | 18 | 4 | 0 | [ 1, 12, 12, 1 ] , [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 20, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 20, 20, 11 ] , [ 21, 8, 4, 21 ] , [ 23, 0, 0, 23 ] | |||
24L4 | 72 | 1 | 18 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 4, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 8, 2, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 6, 9, 13 ] , [ 19, 8, 2, 11 ] , [ 23, 0, 0, 23 ] | |||
24M4 | 72 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 9, 4, 5, 21 ] , [ 9, 16, 14, 9 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 10, 1 ] , [ 19, 0, 18, 19 ] | |||
24N4 | 72 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 2, 17 ] , [ 1, 16, 22, 17 ] , [ 1, 20, 8, 17 ] , [ 13, 8, 8, 5 ] , [ 13, 12, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 19, 20, 2, 11 ] , [ 21, 16, 2, 21 ] | |||
24O4 | 72 | 1 | 36 | 6 | 0 | [ 0, 5, 19, 0 ] , [ 1, 12, 12, 1 ] , [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 15, 20, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 0, 19 ] , [ 23, 0, 0, 23 ] | |||
24P4 | 72 | 2 | 18 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 20, 4, 9 ] , [ 13, 0, 12, 13 ] , [ 15, 20, 16, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 6, 9, 13 ] , [ 19, 20, 2, 11 ] , [ 23, 0, 0, 23 ] | |||
24Q4 | 72 | 2 | 36 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 6, 1 ] , [ 1, 12, 18, 1 ] , [ 7, 0, 6, 7 ] , [ 7, 0, 18, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 10, 7, 11 ] , [ 15, 14, 16, 15 ] , [ 19, 12, 0, 19 ] , [ 23, 12, 18, 23 ] | |||
24R4 | 96 | 1 | 48 | 0 | 0 | [ 1, 12, 0, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 18, 9, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 16, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 4, 0, 23 ] | |||
24S4 | 96 | 2 | 16 | 12 | 0 | [ 1, 16, 16, 17 ] , [ 4, 3, 21, 4 ] , [ 4, 5, 11, 20 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ] | |||
24T4 | 96 | 2 | 48 | 12 | 0 | [ 3, 8, 16, 3 ] , [ 4, 3, 21, 4 ] , [ 4, 5, 11, 20 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 20, 17, 23, 4 ] , [ 22, 15, 3, 1 ] | |||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A4 | 60 | 1 | 6 | 0 | 0 | [ 4, 5, 0, 19 ] , [ 11, 5, 5, 16 ] , [ 18, 1, 1, 14 ] , [ 21, 20, 0, 6 ] | |||
25B4 | 60 | 1 | 6 | 0 | 0 | [ 6, 0, 5, 21 ] , [ 6, 15, 15, 21 ] , [ 7, 23, 8, 5 ] , [ 16, 16, 6, 17 ] | |||
25C4 | 60 | 1 | 6 | 0 | 0 | [ 6, 5, 0, 21 ] , [ 9, 4, 19, 3 ] , [ 9, 20, 15, 14 ] , [ 16, 20, 20, 11 ] | |||
25D4 | 60 | 1 | 6 | 0 | 0 | [ 4, 0, 5, 19 ] , [ 16, 0, 15, 11 ] , [ 16, 20, 20, 11 ] , [ 24, 14, 9, 23 ] | |||
25E4 | 100 | 1 | 10 | 0 | 10 | [ 6, 0, 10, 21 ] , [ 14, 0, 5, 9 ] , [ 16, 15, 15, 11 ] , [ 24, 18, 18, 0 ] | |||
25F4 | 150 | 1 | 15 | 10 | 0 | [ 2, 14, 5, 23 ] , [ 11, 0, 15, 16 ] , [ 11, 20, 15, 16 ] , [ 24, 0, 0, 24 ] | |||
25G4 | 150 | 1 | 30 | 10 | 0 | [ 6, 15, 15, 21 ] , [ 7, 23, 18, 20 ] , [ 23, 15, 23, 2 ] , [ 24, 0, 0, 24 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A4 | 84 | 1 | 42 | 0 | 0 | [ 1, 0, 13, 1 ] , [ 1, 6, 6, 11 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ] | |||
26B4 | 84 | 1 | 42 | 4 | 0 | [ 1, 6, 6, 11 ] , [ 3, 6, 7, 23 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ] | |||
26C4 | 126 | 1 | 42 | 6 | 0 | [ 11, 9, 12, 17 ] , [ 15, 22, 24, 11 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A4 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 9, 19, 13 ] , [ 10, 0, 0, 19 ] , [ 10, 0, 15, 19 ] , [ 17, 0, 0, 8 ] | |||
27B4 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 18, 2, 10 ] , [ 10, 0, 0, 19 ] , [ 10, 0, 15, 19 ] , [ 17, 0, 0, 8 ] | |||
27C4 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 4, 0, 12, 7 ] , [ 10, 0, 0, 19 ] , [ 22, 0, 0, 16 ] , [ 26, 0, 0, 26 ] | |||
27D4 | 108 | 1 | 12 | 0 | 9 | [ 1, 0, 18, 1 ] , [ 1, 3, 17, 25 ] , [ 1, 12, 2, 25 ] , [ 19, 0, 0, 10 ] , [ 19, 0, 9, 10 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A4 | 56 | 2 | 28 | 0 | 2 | [ 9, 12, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ] , [ 22, 21, 21, 1 ] | |||
28B4 | 84 | 1 | 84 | 10 | 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 ] , [ 22, 21, 21, 1 ] | |||
28C4 | 84 | 2 | 21 | 8 | 0 | [ 1, 14, 0, 1 ] , [ 5, 8, 16, 9 ] , [ 9, 19, 10, 15 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 21 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 21 ] | |||
28D4 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 5, 12, 12, 1 ] , [ 9, 12, 4, 21 ] , [ 15, 14, 14, 15 ] , [ 27, 0, 14, 27 ] | |||
28E4 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 5, 8, 4, 1 ] , [ 5, 8, 18, 1 ] , [ 5, 8, 25, 1 ] , [ 11, 16, 11, 11 ] , [ 25, 8, 12, 5 ] | |||
28F4 | 144 | 1 | 24 | 0 | 0 | [ 5, 20, 16, 25 ] , [ 15, 14, 0, 15 ] , [ 17, 20, 16, 9 ] , [ 17, 24, 8, 13 ] , [ 21, 9, 24, 9 ] , [ 21, 16, 24, 9 ] , [ 27, 4, 20, 3 ] | |||
^ | Level 29 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/29Z) Matrix Generators |
29A4 | 60 | 1 | 30 | 0 | 0 | [ 6, 16, 26, 26 ] , [ 9, 18, 9, 2 ] , [ 11, 16, 1, 20 ] , [ 28, 0, 0, 28 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A4 | 60 | 1 | 15 | 4 | 0 | [ 1, 15, 15, 16 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 25, 20, 21 ] , [ 25, 12, 12, 19 ] | |||
30B4 | 60 | 1 | 20 | 0 | 3 | [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 6, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 26, 5, 25, 21 ] | |||
30C4 | 60 | 1 | 30 | 4 | 0 | [ 1, 15, 15, 16 ] , [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 4, 13 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 19 ] , [ 27, 10, 14, 3 ] | |||
30D4 | 60 | 1 | 60 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 13, 0, 6, 7 ] , [ 15, 8, 28, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 21, 10, 20, 1 ] , [ 21, 20, 10, 11 ] | |||
30E4 | 90 | 1 | 15 | 12 | 0 | [ 3, 20, 28, 27 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 19, 1 ] | |||
30F4 | 90 | 1 | 15 | 12 | 0 | [ 3, 20, 13, 27 ] , [ 7, 6, 15, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 4, 1 ] | |||
30G4 | 90 | 2 | 10 | 0 | 9 | [ 1, 10, 10, 11 ] , [ 5, 21, 19, 14 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 24, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] | |||
30H4 | 108 | 1 | 18 | 12 | 0 | [ 1, 10, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 27, 25, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30I4 | 108 | 1 | 54 | 8 | 0 | [ 1, 15, 0, 1 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A4 | 48 | 1 | 24 | 0 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 7, 28, 20, 7 ] , [ 8, 21, 3, 20 ] , [ 13, 20, 4, 21 ] , [ 13, 24, 0, 5 ] , [ 15, 18, 2, 11 ] , [ 17, 16, 16, 17 ] , [ 18, 13, 31, 26 ] , [ 25, 8, 8, 9 ] , [ 30, 5, 23, 22 ] | |||
32B4 | 48 | 1 | 24 | 0 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 3, 2, 10, 7 ] , [ 7, 28, 20, 7 ] , [ 13, 20, 4, 21 ] , [ 13, 24, 0, 5 ] , [ 17, 16, 16, 17 ] , [ 18, 13, 31, 26 ] , [ 24, 21, 3, 20 ] , [ 25, 8, 8, 9 ] , [ 30, 5, 23, 22 ] | |||
32C4 | 96 | 1 | 24 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 7, 28, 4, 7 ] , [ 9, 16, 16, 25 ] , [ 9, 24, 8, 25 ] , [ 16, 9, 7, 12 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 16, 29 ] , [ 24, 5, 19, 4 ] , [ 27, 8, 24, 19 ] , [ 29, 16, 16, 21 ] , [ 31, 28, 4, 15 ] | |||
^ | Level 33 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/33Z) Matrix Generators |
33A4 | 66 | 2 | 33 | 6 | 0 | [ 12, 22, 11, 12 ] , [ 23, 0, 0, 23 ] , [ 24, 10, 29, 30 ] , [ 32, 0, 0, 32 ] , [ 32, 6, 18, 23 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A4 | 70 | 2 | 35 | 2 | 4 | [ 1, 28, 14, 8 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 15, 28, 28, 15 ] , [ 16, 30, 15, 26 ] , [ 22, 0, 0, 8 ] , [ 29, 0, 0, 29 ] | |||
35B4 | 70 | 2 | 70 | 6 | 1 | [ 1, 11, 17, 13 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 21, 10, 30, 21 ] , [ 21, 15, 20, 6 ] , [ 22, 7, 0, 8 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 25, 11 ] | |||
35C4 | 84 | 2 | 42 | 8 | 0 | [ 1, 0, 14, 1 ] , [ 6, 0, 0, 6 ] , [ 11, 25, 0, 16 ] , [ 13, 10, 4, 22 ] , [ 16, 30, 15, 26 ] , [ 21, 10, 30, 21 ] , [ 34, 0, 0, 34 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A4 | 48 | 1 | 4 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 9, 9, 10 ] , [ 1, 12, 4, 13 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] | |||
36B4 | 48 | 1 | 8 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 13, 30, 26, 13 ] , [ 19, 15, 5, 4 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
36C4 | 48 | 1 | 16 | 0 | 0 | [ 10, 9, 27, 10 ] , [ 13, 0, 0, 25 ] , [ 13, 24, 32, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] | |||
36D4 | 54 | 1 | 27 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 11, 8, 35, 19 ] , [ 13, 0, 15, 25 ] , [ 15, 28, 35, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] | |||
36E4 | 54 | 2 | 27 | 2 | 0 | [ 1, 0, 18, 1 ] , [ 15, 14, 16, 27 ] , [ 15, 28, 35, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36F4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 10, 9, 27, 28 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
36G4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 24, 20, 1 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ] | |||
36H4 | 72 | 1 | 18 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 15, 22, 29, 33 ] , [ 19, 0, 18, 19 ] , [ 19, 27, 9, 28 ] , [ 35, 12, 24, 35 ] | |||
36I4 | 72 | 1 | 18 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 15, 22, 11, 33 ] , [ 19, 0, 18, 19 ] , [ 19, 27, 9, 28 ] , [ 35, 12, 24, 35 ] | |||
36J4 | 72 | 1 | 36 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 21, 3, 7 ] , [ 15, 22, 29, 33 ] , [ 19, 18, 0, 19 ] , [ 35, 12, 24, 35 ] | |||
36K4 | 72 | 1 | 36 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 21, 3, 7 ] , [ 15, 22, 11, 33 ] , [ 19, 18, 0, 19 ] , [ 35, 12, 24, 35 ] | |||
36L4 | 72 | 1 | 36 | 8 | 0 | [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 13, 19, 32 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] | |||
36M4 | 72 | 1 | 72 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 5, 4, 28, 1 ] , [ 10, 27, 27, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 28, 9, 27, 28 ] , [ 29, 24, 24, 5 ] | |||
36N4 | 72 | 1 | 72 | 8 | 0 | [ 8, 31, 1, 4 ] , [ 13, 0, 12, 25 ] , [ 13, 12, 0, 25 ] , [ 13, 21, 21, 34 ] , [ 19, 0, 0, 19 ] , [ 25, 16, 16, 29 ] , [ 29, 24, 24, 5 ] | |||
36O4 | 96 | 1 | 32 | 0 | 3 | [ 1, 0, 28, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 28, 15, 33, 19 ] , [ 35, 0, 0, 35 ] | |||
36P4 | 108 | 1 | 9 | 12 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 15, 25 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36Q4 | 108 | 1 | 54 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 12, 0, 1 ] , [ 5, 4, 28, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 24, 24, 5 ] | |||
36R4 | 108 | 2 | 27 | 16 | 0 | [ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 23, 34, 13, 13 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 27, 4, 2, 15 ] | |||
36S4 | 144 | 1 | 8 | 0 | 18 | [ 1, 0, 24, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 3, 29, 16 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
^ | Level 37 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/37Z) Matrix Generators |
37A4 | 76 | 1 | 38 | 0 | 4 | [ 8, 5, 5, 31 ] , [ 29, 18, 3, 7 ] , [ 31, 3, 19, 15 ] , [ 36, 0, 0, 36 ] | |||
37B4 | 114 | 1 | 38 | 6 | 6 | [ 7, 16, 15, 8 ] , [ 8, 5, 5, 31 ] , [ 29, 18, 3, 7 ] , [ 36, 0, 0, 36 ] | |||
^ | Level 38 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/38Z) Matrix Generators |
38A4 | Γ0(38) | 60 | 1 | 60 | 0 | 0 | [ 1, 0, 19, 1 ] , [ 21, 10, 36, 19 ] , [ 29, 12, 26, 37 ] , [ 31, 10, 28, 25 ] , [ 37, 0, 0, 37 ] | ||
38B4 | 120 | 1 | 20 | 0 | 12 | [ 9, 4, 22, 31 ] , [ 20, 19, 19, 1 ] , [ 37, 0, 0, 37 ] , [ 37, 32, 16, 19 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A4 | 84 | 1 | 42 | 8 | 0 | [ 1, 26, 26, 14 ] , [ 7, 6, 36, 31 ] , [ 10, 12, 3, 31 ] , [ 14, 0, 0, 14 ] , [ 30, 16, 29, 9 ] , [ 38, 0, 0, 38 ] | |||
39B4 | 84 | 2 | 14 | 0 | 6 | [ 1, 26, 26, 14 ] , [ 7, 6, 10, 31 ] , [ 13, 3, 30, 28 ] , [ 14, 0, 0, 14 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 13, 27 ] | |||
39C4 | 126 | 1 | 14 | 18 | 0 | [ 1, 26, 26, 14 ] , [ 13, 3, 30, 28 ] , [ 14, 0, 0, 14 ] , [ 16, 6, 33, 10 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 13, 27 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A4 | 60 | 1 | 15 | 4 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 16, 5, 35, 16 ] , [ 17, 8, 16, 17 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 0, 32, 17 ] | |||
40B4 | 60 | 1 | 30 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 10, 30, 31 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 32, 17 ] | |||
40C4 | 60 | 1 | 30 | 2 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 17, 8, 16, 17 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ] , [ 33, 0, 32, 17 ] | |||
40D4 | 80 | 1 | 20 | 0 | 8 | [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 8, 16, 17 ] , [ 21, 5, 5, 26 ] , [ 21, 20, 0, 21 ] , [ 31, 0, 0, 31 ] , [ 33, 24, 0, 17 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A4 | 42 | 2 | 7 | 0 | 0 | [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 19 ] , [ 15, 14, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 6, 12, 19 ] | |||
42B4 | 48 | 1 | 8 | 0 | 0 | [ 7, 39, 33, 34 ] , [ 15, 28, 14, 15 ] , [ 19, 6, 30, 25 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 31, 24, 36, 13 ] , [ 34, 35, 35, 41 ] | |||
42C4 | 48 | 1 | 24 | 0 | 0 | [ 7, 39, 33, 34 ] , [ 15, 7, 14, 15 ] , [ 19, 6, 30, 25 ] , [ 20, 35, 35, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 31, 24, 36, 13 ] | |||
42D4 | 56 | 2 | 28 | 0 | 2 | [ 1, 14, 0, 1 ] , [ 1, 24, 30, 7 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 9, 18, 23 ] , [ 37, 6, 12, 19 ] | |||
42E4 | 56 | 2 | 28 | 0 | 2 | [ 1, 14, 0, 1 ] , [ 1, 24, 30, 7 ] , [ 1, 30, 18, 37 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42F4 | 84 | 2 | 21 | 12 | 0 | [ 1, 21, 21, 22 ] , [ 1, 28, 7, 29 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 25, 12, 0, 37 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] | |||
42G4 | 84 | 2 | 21 | 12 | 0 | [ 1, 28, 7, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 37 ] , [ 27, 8, 16, 39 ] , [ 29, 0, 0, 29 ] | |||
42H4 | 84 | 2 | 21 | 12 | 0 | [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 19, 36, 30, 37 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 37 ] , [ 29, 0, 0, 29 ] , [ 41, 22, 37, 25 ] | |||
42I4 | 126 | 1 | 21 | 24 | 0 | [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 41, 38, 11, 1 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A4 | 48 | 1 | 12 | 0 | 0 | [ 1, 22, 22, 1 ] , [ 13, 8, 4, 33 ] , [ 21, 0, 22, 21 ] , [ 23, 22, 0, 23 ] , [ 25, 28, 20, 33 ] , [ 34, 11, 11, 1 ] , [ 34, 33, 33, 1 ] | |||
44B4 | 48 | 1 | 48 | 0 | 0 | [ 1, 22, 11, 23 ] , [ 19, 23, 39, 38 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 34, 11, 11, 1 ] , [ 37, 36, 24, 21 ] , [ 41, 12, 28, 5 ] , [ 43, 0, 0, 43 ] | |||
44C4 | 66 | 2 | 33 | 6 | 0 | [ 1, 0, 22, 1 ] , [ 9, 36, 16, 25 ] , [ 13, 20, 8, 9 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 23, 22, 33, 1 ] | |||
44D4 | Γ0(44) | 72 | 1 | 36 | 0 | 0 | [ 1, 0, 22, 1 ] , [ 5, 28, 32, 21 ] , [ 21, 8, 20, 37 ] , [ 21, 28, 36, 25 ] , [ 23, 0, 22, 23 ] , [ 23, 0, 33, 23 ] | ||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A4 | 60 | 1 | 20 | 0 | 0 | [ 1, 27, 9, 19 ] , [ 1, 40, 0, 1 ] , [ 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, 30, 0, 11 ] | |||
45B4 | 60 | 2 | 20 | 0 | 3 | [ 1, 27, 9, 19 ] , [ 1, 40, 30, 31 ] , [ 5, 39, 21, 29 ] , [ 10, 4, 36, 19 ] , [ 16, 15, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 31, 0, 0, 16 ] | |||
45C4 | 108 | 2 | 54 | 16 | 0 | [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 28, 9, 9, 19 ] , [ 31, 15, 15, 16 ] , [ 36, 40, 20, 21 ] , [ 41, 0, 15, 11 ] , [ 44, 17, 29, 1 ] , [ 44, 30, 15, 44 ] | |||
^ | Level 46 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/46Z) Matrix Generators |
46A4 | 48 | 1 | 24 | 0 | 0 | [ 1, 23, 23, 24 ] , [ 1, 24, 32, 33 ] , [ 27, 16, 44, 21 ] , [ 45, 0, 0, 45 ] | |||
^ | Level 47 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/47Z) Matrix Generators |
47A4 | Γ0(47) | 48 | 1 | 48 | 0 | 0 | [ 40, 11, 1, 5 ] , [ 41, 3, 7, 12 ] , [ 46, 0, 0, 46 ] | ||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A4 | 64 | 2 | 32 | 0 | 4 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 4 ] , [ 17, 0, 32, 17 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 31, 12, 36, 31 ] , [ 34, 3, 3, 13 ] , [ 37, 12, 24, 13 ] | |||
48B4 | 72 | 1 | 6 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 35, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] | |||
48C4 | 72 | 1 | 9 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 13, 20, 38, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 46, 17 ] , [ 25, 20, 2, 17 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ] | |||
48D4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 13, 24, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 35, 33 ] , [ 47, 0, 0, 47 ] | |||
48E4 | 72 | 1 | 12 | 6 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 3, 46, 23, 33 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 35, 38, 29, 37 ] | |||
48F4 | 72 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 40, 40, 41 ] , [ 33, 16, 35, 33 ] , [ 37, 0, 36, 13 ] , [ 41, 40, 40, 25 ] , [ 47, 0, 0, 47 ] | |||
48G4 | 72 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 16, 4, 13 ] , [ 13, 24, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 35, 33 ] , [ 37, 16, 4, 29 ] , [ 47, 0, 0, 47 ] | |||
48H4 | 72 | 1 | 36 | 6 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 3, 46, 23, 33 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 19, 38, 23, 41 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 35, 38, 29, 37 ] | |||
48I4 | 96 | 1 | 8 | 0 | 12 | [ 1, 32, 32, 17 ] , [ 13, 12, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 31, 4, 28, 47 ] , [ 33, 32, 16, 33 ] , [ 37, 32, 20, 29 ] , [ 41, 0, 24, 41 ] , [ 41, 5, 1, 6 ] | |||
48J4 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 6, 42, 13 ] , [ 1, 24, 24, 1 ] , [ 7, 36, 12, 7 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 16, 17 ] , [ 22, 39, 21, 46 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A4 | 60 | 1 | 30 | 4 | 0 | [ 11, 30, 30, 41 ] , [ 21, 20, 0, 31 ] , [ 26, 25, 25, 1 ] , [ 29, 30, 0, 19 ] , [ 33, 8, 5, 27 ] , [ 43, 26, 26, 39 ] | |||
50B4 | 60 | 1 | 30 | 4 | 0 | [ 1, 25, 25, 26 ] , [ 7, 48, 8, 5 ] , [ 19, 6, 13, 41 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 16, 6, 17 ] | |||
50C4 | 60 | 1 | 30 | 4 | 0 | [ 1, 25, 25, 26 ] , [ 9, 4, 44, 3 ] , [ 9, 20, 40, 39 ] , [ 19, 38, 21, 21 ] , [ 31, 30, 0, 21 ] , [ 41, 20, 20, 11 ] | |||
50D4 | 60 | 1 | 30 | 4 | 0 | [ 26, 25, 25, 1 ] , [ 29, 0, 30, 19 ] , [ 37, 30, 17, 3 ] , [ 41, 0, 40, 11 ] , [ 41, 20, 20, 11 ] , [ 49, 14, 34, 23 ] | |||
50E4 | 100 | 1 | 50 | 4 | 10 | [ 1, 25, 25, 26 ] , [ 28, 5, 21, 2 ] , [ 31, 0, 10, 21 ] , [ 39, 0, 30, 9 ] , [ 41, 40, 40, 11 ] , [ 49, 18, 18, 25 ] | |||
50F4 | 180 | 1 | 18 | 0 | 0 | [ 5, 32, 12, 47 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] , [ 35, 22, 27, 17 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A4 | 84 | 1 | 42 | 4 | 0 | [ 1, 0, 13, 1 ] , [ 1, 0, 26, 1 ] , [ 1, 32, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 26, 27 ] , [ 29, 6, 20, 49 ] , [ 45, 24, 32, 9 ] | |||
^ | Level 53 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/53Z) Matrix Generators |
53A4 | Γ0(53) | 54 | 1 | 54 | 2 | 0 | [ 1, 11, 48, 52 ] , [ 20, 16, 42, 31 ] , [ 45, 27, 7, 16 ] , [ 52, 0, 0, 52 ] | ||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A4 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 7, 18, 46, 49 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 42, 37 ] , [ 25, 0, 26, 13 ] , [ 28, 27, 27, 1 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ] | |||
54B4 | 72 | 1 | 12 | 0 | 6 | [ 1, 0, 18, 1 ] , [ 13, 12, 26, 49 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 28, 27, 27, 1 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 42, 19 ] , [ 43, 0, 30, 49 ] | |||
54C4 | 72 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 13, 0, 16, 25 ] , [ 19, 0, 12, 37 ] , [ 31, 45, 19, 52 ] , [ 37, 0, 0, 19 ] , [ 40, 45, 35, 7 ] , [ 53, 0, 0, 53 ] | |||
54D4 | 72 | 1 | 24 | 0 | 6 | [ 1, 0, 18, 1 ] , [ 19, 0, 18, 37 ] , [ 25, 42, 52, 1 ] , [ 28, 45, 9, 1 ] , [ 34, 27, 15, 31 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 24, 19 ] , [ 53, 0, 0, 53 ] | |||
54E4 | Γ0(54) | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 7, 18, 46, 49 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 42, 37 ] , [ 25, 0, 26, 13 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ] | ||
^ | Level 55 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/55Z) Matrix Generators |
55A4 | 66 | 2 | 66 | 6 | 0 | [ 12, 0, 0, 23 ] , [ 33, 31, 50, 32 ] , [ 34, 0, 0, 34 ] , [ 34, 22, 0, 34 ] , [ 47, 24, 50, 8 ] , [ 54, 0, 0, 54 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A4 | 64 | 2 | 32 | 0 | 4 | [ 1, 14, 49, 15 ] , [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 41 ] , [ 29, 0, 28, 29 ] , [ 29, 7, 7, 50 ] , [ 41, 0, 0, 41 ] , [ 41, 24, 16, 49 ] | |||
56B4 | 84 | 2 | 21 | 12 | 0 | [ 1, 7, 42, 15 ] , [ 1, 16, 32, 9 ] , [ 1, 28, 0, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 28, 15 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ] | |||
56C4 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 25, 8, 40, 33 ] , [ 29, 0, 14, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 25, 1 ] , [ 33, 8, 32, 1 ] , [ 33, 8, 46, 1 ] , [ 43, 28, 7, 15 ] , [ 53, 44, 32, 53 ] | |||
^ | Level 58 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/58Z) Matrix Generators |
58A4 | 60 | 1 | 30 | 4 | 0 | [ 1, 29, 29, 30 ] , [ 25, 30, 1, 43 ] , [ 51, 0, 48, 33 ] , [ 51, 50, 16, 43 ] , [ 55, 16, 28, 5 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A4 | 60 | 1 | 20 | 6 | 0 | [ 1, 20, 20, 41 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 37, 36, 0, 13 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] | |||
60B4 | 80 | 1 | 20 | 0 | 8 | [ 1, 12, 36, 13 ] , [ 1, 20, 10, 21 ] , [ 1, 30, 30, 1 ] , [ 16, 15, 45, 31 ] , [ 21, 20, 40, 41 ] , [ 31, 30, 0, 31 ] , [ 37, 0, 24, 13 ] , [ 37, 48, 0, 13 ] , [ 49, 0, 0, 49 ] | |||
60C4 | 108 | 1 | 18 | 12 | 0 | [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] | |||
^ | Level 61 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/61Z) Matrix Generators |
61A4 | Γ0(61) | 62 | 1 | 62 | 2 | 2 | [ 7, 30, 47, 36 ] , [ 43, 53, 20, 19 ] , [ 53, 10, 59, 10 ] , [ 58, 2, 56, 3 ] , [ 60, 0, 0, 60 ] | ||
^ | Level 62 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/62Z) Matrix Generators |
62A4 | 64 | 1 | 32 | 0 | 4 | [ 15, 50, 6, 49 ] , [ 31, 60, 16, 43 ] , [ 32, 31, 31, 1 ] , [ 47, 52, 18, 45 ] , [ 48, 3, 1, 13 ] , [ 61, 0, 0, 61 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A4 | 96 | 2 | 32 | 0 | 3 | [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 4, 42, 36, 16 ] , [ 8, 0, 0, 8 ] , [ 34, 0, 0, 13 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 50, 0, 28, 29 ] , [ 55, 0, 35, 55 ] , [ 58, 21, 55, 46 ] | |||
^ | Level 65 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/65Z) Matrix Generators |
65A4 | 70 | 1 | 70 | 2 | 4 | [ 11, 45, 45, 1 ] , [ 14, 0, 0, 14 ] , [ 16, 5, 50, 36 ] , [ 16, 60, 45, 51 ] , [ 27, 0, 0, 53 ] , [ 40, 39, 26, 40 ] , [ 51, 0, 0, 51 ] , [ 53, 26, 52, 1 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A4 | 66 | 2 | 22 | 0 | 6 | [ 1, 44, 44, 23 ] , [ 23, 0, 0, 23 ] , [ 34, 33, 11, 1 ] , [ 40, 17, 1, 45 ] , [ 43, 0, 0, 43 ] , [ 45, 22, 44, 45 ] , [ 48, 29, 7, 7 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A4 | 70 | 2 | 35 | 4 | 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, 30, 1 ] , [ 43, 0, 56, 57 ] , [ 43, 42, 0, 57 ] | |||
70B4 | 80 | 1 | 40 | 0 | 8 | [ 1, 0, 10, 1 ] , [ 15, 28, 28, 29 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 40, 61 ] , [ 36, 35, 35, 1 ] , [ 43, 42, 0, 57 ] , [ 51, 0, 40, 11 ] , [ 57, 0, 14, 43 ] | |||
70C4 | 84 | 2 | 42 | 12 | 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, 35, 57 ] , [ 51, 15, 45, 16 ] , [ 61, 30, 50, 51 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A4 | 72 | 2 | 36 | 10 | 0 | [ 1, 36, 36, 1 ] , [ 10, 63, 63, 37 ] , [ 25, 0, 24, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 16, 40, 41 ] , [ 49, 32, 32, 65 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 57, 40, 56, 33 ] , [ 64, 45, 27, 28 ] | |||
72B4 | 72 | 2 | 36 | 10 | 0 | [ 1, 36, 36, 1 ] , [ 10, 63, 63, 37 ] , [ 25, 0, 24, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 48, 13, 11, 24 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 49, 64, 64, 41 ] , [ 55, 36, 36, 55 ] , [ 57, 40, 20, 33 ] | |||
72C4 | 72 | 2 | 36 | 10 | 0 | [ 1, 36, 36, 1 ] , [ 9, 8, 64, 9 ] , [ 10, 63, 63, 37 ] , [ 25, 0, 24, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 16, 4, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 57, 40, 56, 33 ] , [ 64, 45, 27, 64 ] | |||
72D4 | 72 | 2 | 36 | 10 | 0 | [ 1, 32, 32, 17 ] , [ 1, 36, 36, 1 ] , [ 10, 63, 63, 37 ] , [ 25, 0, 24, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 16, 4, 41 ] , [ 49, 32, 32, 65 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 64, 45, 27, 64 ] | |||
72E4 | 108 | 1 | 27 | 20 | 0 | [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 56, 8, 1 ] , [ 19, 9, 54, 37 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 33, 56, 40, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] | |||
^ | Level 74 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/74Z) Matrix Generators |
74A4 | 76 | 1 | 38 | 4 | 4 | [ 7, 16, 15, 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 |
75A4 | 90 | 1 | 30 | 6 | 0 | [ 1, 25, 25, 26 ] , [ 1, 50, 50, 26 ] , [ 7, 48, 18, 70 ] , [ 16, 0, 15, 61 ] , [ 26, 0, 0, 26 ] , [ 31, 0, 30, 46 ] , [ 31, 15, 15, 46 ] , [ 43, 40, 73, 47 ] , [ 44, 0, 45, 29 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A4 | 80 | 1 | 20 | 0 | 8 | [ 1, 19, 19, 58 ] , [ 1, 36, 44, 65 ] , [ 1, 38, 38, 1 ] , [ 21, 14, 12, 37 ] , [ 33, 68, 24, 61 ] , [ 39, 0, 38, 39 ] , [ 65, 32, 24, 13 ] | |||
^ | Level 77 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/77Z) Matrix Generators |
77A4 | 77 | 2 | 77 | 9 | 2 | [ 10, 66, 55, 32 ] , [ 21, 44, 66, 21 ] , [ 34, 0, 0, 34 ] , [ 43, 0, 0, 43 ] , [ 45, 11, 22, 67 ] , [ 50, 63, 14, 50 ] , [ 58, 18, 41, 30 ] , [ 76, 11, 33, 21 ] | |||
77B4 | 77 | 2 | 77 | 9 | 2 | [ 8, 56, 70, 57 ] , [ 10, 66, 33, 10 ] , [ 34, 0, 0, 34 ] , [ 34, 55, 44, 1 ] , [ 43, 0, 0, 43 ] , [ 56, 22, 55, 67 ] , [ 65, 33, 55, 54 ] , [ 66, 8, 48, 0 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A4 | 84 | 1 | 14 | 12 | 0 | [ 7, 6, 36, 31 ] , [ 17, 42, 3, 35 ] , [ 27, 52, 26, 27 ] , [ 40, 39, 39, 1 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 77, 0, 0, 77 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A4 | 80 | 2 | 40 | 2 | 8 | [ 1, 40, 40, 1 ] , [ 16, 15, 65, 16 ] , [ 17, 48, 16, 17 ] , [ 21, 45, 5, 26 ] , [ 31, 40, 40, 31 ] , [ 33, 64, 0, 17 ] , [ 41, 40, 0, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 64, 1 ] , [ 61, 60, 0, 21 ] | |||
^ | Level 81 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/81Z) Matrix Generators |
81A4 | Γ0(81) | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 10, 27, 60, 73 ] , [ 26, 27, 30, 53 ] , [ 28, 0, 0, 55 ] , [ 28, 0, 18, 55 ] , [ 37, 54, 0, 46 ] , [ 52, 0, 53, 67 ] , [ 55, 0, 27, 28 ] , [ 61, 45, 19, 22 ] , [ 73, 0, 15, 10 ] | ||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A4 | 96 | 1 | 16 | 0 | 12 | [ 1, 14, 14, 29 ] , [ 1, 77, 21, 22 ] , [ 13, 42, 0, 13 ] , [ 15, 56, 70, 15 ] , [ 21, 8, 76, 69 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 57, 28, 56, 57 ] , [ 61, 48, 72, 25 ] | |||
84B4 | 96 | 2 | 8 | 0 | 12 | [ 1, 42, 42, 1 ] , [ 13, 24, 44, 49 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 37, 36, 54, 73 ] , [ 43, 0, 42, 43 ] , [ 57, 56, 28, 57 ] , [ 64, 63, 21, 43 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A4 | 108 | 1 | 54 | 20 | 0 | [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 50, 50, 11 ] , [ 31, 60, 60, 61 ] , [ 39, 37, 44, 21 ] , [ 41, 0, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 73, 54, 54, 19 ] , [ 81, 40, 20, 21 ] , [ 89, 30, 60, 89 ] | |||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A4 | 144 | 1 | 12 | 0 | 24 | [ 1, 0, 36, 1 ] , [ 25, 0, 0, 13 ] , [ 28, 27, 81, 55 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 36, 73 ] , [ 37, 36, 48, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 0, 55 ] , [ 97, 12, 56, 37 ] , [ 107, 0, 0, 107 ] |