[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:
10
12
13
14
15
16
17
18
19
20
21
22
24
27
28
30
32
33
34
35
36
38
40
42
44
45
48
50
51
52
54
55
56
60
62
63
64
66
68
69
70
72
77
78
80
81
82
83
84
85
89
90
91
93
95
96
97
98
100
102
104
105
108
110
112
120
126
128
132
156
^ | Level 10 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/10Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
10A7 | 180 | 1 | 15 | 0 | 0 | [ 3, 6, 0, 7 ] , [ 9, 0, 0, 9 ] | |||
^ | Level 12 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/12Z) Matrix Generators |
12A7 | 144 | 1 | 1 | 0 | 0 | [ 1, 6, 6, 1 ] , [ 7, 0, 6, 7 ] , [ 7, 6, 0, 7 ] , [ 11, 0, 0, 11 ] , [ 11, 6, 6, 11 ] | |||
12B7 | 144 | 1 | 3 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] | |||
12C7 | 144 | 1 | 6 | 0 | 0 | [ 4, 3, 9, 4 ] , [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] | |||
12D7 | 144 | 1 | 9 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 2, 2, 11 ] , [ 11, 10, 10, 7 ] | |||
12E7 | 144 | 1 | 18 | 0 | 0 | [ 4, 7, 1, 2 ] , [ 8, 5, 11, 10 ] , [ 10, 7, 1, 8 ] , [ 11, 6, 6, 11 ] | |||
12F7 | 192 | 1 | 32 | 0 | 6 | [ 1, 9, 1, 10 ] , [ 10, 3, 11, 1 ] , [ 11, 3, 11, 2 ] | |||
^ | Level 13 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/13Z) Matrix Generators |
13A7 | 182 | 1 | 91 | 6 | 2 | [ 0, 1, 12, 12 ] , [ 4, 2, 11, 9 ] , [ 12, 0, 0, 12 ] | |||
13B7 | 182 | 1 | 91 | 6 | 2 | [ 0, 1, 12, 12 ] , [ 0, 8, 8, 0 ] , [ 12, 0, 0, 12 ] | |||
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
14A7 | 126 | 1 | 21 | 0 | 0 | [ 1, 12, 8, 13 ] , [ 5, 8, 2, 9 ] , [ 7, 2, 10, 7 ] , [ 13, 0, 0, 13 ] | |||
14B7 | 168 | 1 | 21 | 8 | 0 | [ 1, 7, 7, 8 ] , [ 1, 12, 1, 13 ] , [ 13, 0, 0, 13 ] | |||
14C7 | 168 | 1 | 84 | 0 | 0 | [ 1, 0, 7, 1 ] , [ 5, 12, 12, 1 ] , [ 13, 12, 12, 9 ] | |||
14D7 | 168 | 1 | 84 | 8 | 0 | [ 1, 12, 1, 13 ] , [ 11, 12, 0, 9 ] , [ 13, 0, 0, 13 ] | |||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A7 | 120 | 1 | 10 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 4, 3, 3, 10 ] , [ 7, 9, 0, 13 ] , [ 11, 0, 0, 11 ] | |||
15B7 | 120 | 1 | 30 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 6, 5, 10, 6 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ] | |||
15C7 | 180 | 2 | 15 | 12 | 0 | [ 2, 10, 7, 13 ] , [ 4, 0, 0, 4 ] , [ 13, 4, 10, 2 ] , [ 14, 0, 0, 14 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A7 | 128 | 1 | 64 | 0 | 2 | [ 2, 11, 11, 13 ] , [ 5, 8, 8, 13 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ] | |||
16B7 | 192 | 1 | 6 | 0 | 0 | [ 1, 0, 8, 1 ] , [ 3, 4, 8, 11 ] , [ 5, 4, 0, 13 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ] | |||
16C7 | 192 | 1 | 12 | 0 | 0 | [ 1, 8, 0, 1 ] , [ 9, 12, 0, 9 ] , [ 13, 14, 0, 5 ] , [ 15, 8, 0, 15 ] | |||
16D7 | 192 | 1 | 24 | 8 | 0 | [ 0, 5, 3, 0 ] , [ 8, 5, 3, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ] | |||
16E7 | 192 | 2 | 24 | 8 | 0 | [ 8, 7, 9, 8 ] , [ 9, 8, 8, 9 ] , [ 13, 4, 4, 5 ] , [ 15, 0, 0, 15 ] | |||
^ | Level 17 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/17Z) Matrix Generators |
17A7 | 153 | 1 | 153 | 9 | 0 | [ 3, 11, 13, 14 ] , [ 6, 14, 1, 11 ] , [ 10, 4, 13, 7 ] , [ 10, 12, 5, 1 ] , [ 16, 0, 0, 16 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A7 | 108 | 1 | 3 | 0 | 0 | [ 5, 0, 12, 11 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 13, 0, 6, 7 ] | |||
18B7 | 108 | 1 | 18 | 0 | 0 | [ 7, 0, 0, 13 ] , [ 9, 10, 8, 9 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ] | |||
18C7 | 108 | 1 | 27 | 0 | 0 | [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] , [ 11, 10, 10, 1 ] | |||
18D7 | 108 | 1 | 36 | 0 | 0 | [ 1, 9, 3, 10 ] , [ 7, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 10, 1 ] | |||
18E7 | 108 | 2 | 9 | 0 | 0 | [ 1, 12, 6, 1 ] , [ 7, 0, 12, 13 ] , [ 11, 6, 0, 5 ] , [ 15, 14, 16, 9 ] | |||
18F7 | 108 | 2 | 9 | 0 | 0 | [ 1, 9, 9, 10 ] , [ 9, 10, 8, 9 ] , [ 13, 6, 6, 7 ] , [ 17, 0, 0, 17 ] | |||
18G7 | 108 | 2 | 18 | 0 | 0 | [ 4, 9, 9, 7 ] , [ 5, 6, 6, 11 ] , [ 13, 2, 14, 5 ] , [ 13, 12, 12, 7 ] | |||
18H7 | 162 | 1 | 54 | 0 | 9 | [ 9, 10, 8, 9 ] , [ 16, 15, 7, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] | |||
18I7 | 162 | 1 | 54 | 6 | 0 | [ 1, 0, 9, 1 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 17, 0, 0, 17 ] | |||
18J7 | 162 | 1 | 81 | 12 | 0 | [ 0, 17, 1, 0 ] , [ 1, 9, 9, 10 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18K7 | 162 | 1 | 81 | 12 | 0 | [ 7, 16, 16, 11 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 4, 11, 3 ] | |||
18L7 | 162 | 1 | 162 | 12 | 0 | [ 5, 3, 3, 2 ] , [ 9, 1, 8, 9 ] , [ 10, 7, 1, 8 ] , [ 16, 3, 3, 13 ] | |||
18M7 | 162 | 2 | 27 | 6 | 0 | [ 11, 10, 4, 7 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 3, 7 ] , [ 13, 12, 12, 7 ] | |||
18N7 | 216 | 1 | 6 | 0 | 0 | [ 13, 0, 0, 7 ] , [ 13, 12, 6, 7 ] , [ 17, 0, 0, 17 ] | |||
18O7 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 7, 0, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18P7 | 216 | 1 | 24 | 0 | 9 | [ 1, 0, 12, 1 ] , [ 7, 15, 7, 10 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 19 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/19Z) Matrix Generators |
19A7 | Γ1(19) | 180 | 1 | 20 | 0 | 0 | [ 4, 17, 14, 17 ] , [ 18, 0, 0, 18 ] | ||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A7 | 120 | 1 | 30 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ] | |||
20B7 | 120 | 1 | 30 | 0 | 0 | [ 5, 12, 12, 9 ] , [ 7, 10, 4, 3 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ] | |||
20C7 | 120 | 1 | 30 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ] | |||
20D7 | 120 | 1 | 30 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] | |||
20E7 | 120 | 1 | 30 | 4 | 0 | [ 9, 0, 10, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 16, 5, 15, 11 ] , [ 17, 4, 5, 13 ] | |||
20F7 | 120 | 1 | 60 | 4 | 0 | [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] , [ 13, 0, 16, 17 ] | |||
20G7 | 120 | 1 | 60 | 4 | 0 | [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ] | |||
20H7 | 120 | 1 | 60 | 4 | 0 | [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] , [ 13, 0, 16, 17 ] | |||
20I7 | 120 | 2 | 30 | 4 | 0 | [ 5, 12, 12, 9 ] , [ 7, 10, 19, 13 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ] | |||
20J7 | 144 | 1 | 6 | 0 | 0 | [ 1, 10, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 0, 19 ] | |||
20K7 | 144 | 1 | 6 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ] | |||
20L7 | 144 | 1 | 18 | 0 | 0 | [ 5, 6, 14, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 14, 2, 19 ] | |||
20M7 | 144 | 1 | 36 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 4, 4, 13 ] , [ 11, 0, 0, 11 ] , [ 17, 18, 13, 15 ] | |||
20N7 | 144 | 2 | 18 | 0 | 0 | [ 9, 0, 10, 9 ] , [ 9, 4, 4, 13 ] , [ 15, 8, 8, 3 ] , [ 17, 0, 17, 13 ] | |||
20O7 | 160 | 2 | 40 | 8 | 4 | [ 6, 5, 5, 1 ] , [ 9, 8, 8, 5 ] , [ 13, 10, 1, 7 ] , [ 19, 0, 0, 19 ] | |||
20P7 | 180 | 1 | 45 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 16, 0, 17 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A7 | 126 | 1 | 21 | 6 | 0 | [ 1, 14, 14, 8 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 15 ] , [ 19, 6, 18, 19 ] | |||
21B7 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 16, 1 ] , [ 13, 0, 9, 13 ] | |||
21C7 | 168 | 1 | 84 | 16 | 0 | [ 1, 7, 7, 8 ] , [ 1, 11, 17, 20 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 17, 11, 8 ] , [ 15, 4, 17, 6 ] | |||
21D7 | 192 | 2 | 32 | 0 | 6 | [ 1, 0, 9, 1 ] , [ 4, 0, 7, 16 ] , [ 16, 0, 20, 4 ] , [ 20, 0, 0, 20 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A7 | 110 | 1 | 55 | 0 | 2 | [ 1, 8, 8, 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 |
24A7 | 96 | 1 | 12 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 10, 15, 15, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 4, 1 ] | |||
24B7 | 96 | 1 | 12 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 22, 3, 15, 1 ] , [ 23, 16, 16, 7 ] | |||
24C7 | 96 | 1 | 16 | 0 | 0 | [ 1, 16, 16, 17 ] , [ 3, 8, 16, 3 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 22, 15, 3, 1 ] | |||
24D7 | 96 | 2 | 4 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 5, 0, 12, 5 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 13 ] , [ 13, 6, 15, 7 ] , [ 13, 12, 0, 13 ] | |||
24E7 | 128 | 1 | 64 | 0 | 2 | [ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] | |||
24F7 | 128 | 2 | 64 | 0 | 2 | [ 1, 16, 0, 1 ] , [ 1, 18, 3, 7 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 17, 0, 0, 17 ] | |||
24G7 | 144 | 1 | 3 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 15, 1 ] , [ 13, 12, 21, 1 ] , [ 17, 0, 21, 17 ] , [ 19, 12, 12, 19 ] | |||
24H7 | 144 | 1 | 6 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 6, 3, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 9, 7 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 0, 18, 19 ] | |||
24I7 | 144 | 1 | 9 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 4, 10, 17 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 4, 22, 11 ] , [ 23, 0, 18, 23 ] | |||
24J7 | 144 | 1 | 9 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 16, 10, 23 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 6, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 20, 1 ] | |||
24K7 | 144 | 1 | 12 | 12 | 0 | [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] | |||
24L7 | 144 | 1 | 12 | 12 | 0 | [ 1, 16, 16, 17 ] , [ 4, 3, 21, 4 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ] | |||
24M7 | 144 | 1 | 18 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 5, 12, 12, 5 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 6, 13 ] , [ 15, 22, 8, 15 ] , [ 21, 22, 8, 21 ] , [ 23, 0, 18, 23 ] | |||
24N7 | 144 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 5, 0, 18, 5 ] , [ 5, 16, 19, 13 ] , [ 7, 0, 12, 7 ] , [ 7, 8, 11, 23 ] , [ 7, 8, 23, 23 ] , [ 13, 0, 12, 13 ] , [ 13, 0, 18, 13 ] | |||
24O7 | 144 | 1 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 4, 10, 23 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 6, 21, 23 ] , [ 19, 0, 12, 19 ] | |||
24P7 | 144 | 1 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 5, 8, 2, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 21, 1 ] , [ 23, 0, 0, 23 ] | |||
24Q7 | 144 | 1 | 18 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 5 ] , [ 16, 15, 9, 4 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] | |||
24R7 | 144 | 1 | 18 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 7, 16, 16, 23 ] , [ 8, 17, 23, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] , [ 20, 5, 11, 4 ] | |||
24S7 | 144 | 1 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 11, 12, 18, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 7, 11 ] , [ 13, 12, 18, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 0, 6, 19 ] , [ 23, 2, 23, 1 ] | |||
24T7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 21, 1 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 18, 17 ] , [ 19, 16, 22, 11 ] | |||
24U7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 0, 18, 7 ] , [ 7, 16, 4, 23 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 15, 19 ] | |||
24V7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 4, 10, 17 ] , [ 1, 16, 10, 17 ] , [ 7, 16, 10, 23 ] , [ 13, 0, 18, 13 ] , [ 13, 4, 16, 5 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ] | |||
24W7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 16, 16, 23 ] , [ 13, 0, 18, 13 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 20, 1 ] | |||
24X7 | 144 | 1 | 36 | 4 | 0 | [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 8, 21 ] , [ 23, 0, 0, 23 ] | |||
24Y7 | 144 | 1 | 36 | 4 | 0 | [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] | |||
24Z7 | 144 | 1 | 36 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 5, 6, 21, 11 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 14, 17, 7 ] , [ 19, 16, 16, 11 ] | |||
24AA7 | 144 | 1 | 36 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 11, 6, 21, 5 ] , [ 13, 12, 6, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 18, 19 ] | |||
24AB7 | 144 | 1 | 36 | 12 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 16, 16, 5 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] | |||
24AC7 | 144 | 1 | 36 | 12 | 0 | [ 0, 13, 11, 0 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 4, 20, 15 ] , [ 15, 20, 4, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 21, 4, 20, 21 ] | |||
24AD7 | 144 | 2 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 5, 0, 0, 5 ] , [ 9, 16, 14, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 10, 19, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 22, 1, 5 ] , [ 23, 0, 12, 23 ] | |||
24AE7 | 144 | 2 | 18 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 9, 20, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 16, 19, 13, 20 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] | |||
24AF7 | 192 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 5, 0, 12, 5 ] , [ 5, 12, 0, 5 ] , [ 19, 12, 0, 19 ] | |||
24AG7 | 192 | 1 | 12 | 0 | 0 | [ 1, 8, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 12, 13 ] , [ 19, 0, 12, 19 ] , [ 23, 16, 0, 23 ] | |||
24AH7 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 8, 18, 1 ] , [ 5, 8, 0, 5 ] , [ 5, 8, 18, 5 ] , [ 19, 0, 18, 19 ] | |||
24AI7 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 12, 1 ] , [ 13, 0, 18, 13 ] , [ 13, 8, 18, 13 ] , [ 17, 8, 0, 17 ] , [ 19, 0, 18, 19 ] | |||
24AJ7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 6, 1 ] , [ 7, 0, 9, 7 ] , [ 7, 0, 21, 7 ] , [ 17, 0, 3, 17 ] , [ 17, 16, 15, 17 ] | |||
24AK7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 17, 4, 6, 17 ] , [ 17, 4, 12, 17 ] , [ 17, 4, 18, 17 ] , [ 23, 16, 6, 23 ] | |||
24AL7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 16, 18, 5 ] , [ 7, 12, 6, 7 ] , [ 13, 12, 12, 13 ] , [ 17, 4, 18, 17 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A7 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 22, 0, 0, 16 ] , [ 22, 18, 12, 16 ] , [ 26, 0, 0, 26 ] | |||
27B7 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 9, 19 ] , [ 10, 0, 18, 19 ] , [ 10, 18, 24, 19 ] , [ 22, 12, 2, 22 ] , [ 26, 0, 0, 26 ] | |||
27C7 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 9, 19 ] , [ 10, 0, 18, 19 ] , [ 10, 18, 24, 19 ] , [ 19, 15, 13, 16 ] , [ 26, 0, 0, 26 ] | |||
27D7 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 13, 9, 12, 25 ] , [ 22, 0, 0, 16 ] , [ 26, 0, 0, 26 ] | |||
27E7 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 9, 12, 1 ] , [ 7, 24, 11, 7 ] , [ 19, 0, 0, 10 ] , [ 26, 0, 0, 26 ] | |||
27F7 | 162 | 1 | 18 | 18 | 0 | [ 1, 9, 9, 1 ] , [ 7, 9, 9, 4 ] , [ 8, 18, 18, 17 ] , [ 10, 18, 18, 19 ] , [ 18, 8, 10, 9 ] , [ 19, 0, 0, 10 ] , [ 19, 9, 9, 10 ] | |||
27G7 | 162 | 1 | 162 | 6 | 0 | [ 1, 9, 18, 1 ] , [ 1, 18, 9, 1 ] , [ 7, 18, 18, 4 ] , [ 10, 9, 18, 19 ] , [ 18, 26, 1, 18 ] , [ 19, 0, 0, 10 ] , [ 26, 18, 9, 26 ] | |||
27H7 | 162 | 2 | 9 | 18 | 0 | [ 1, 25, 1, 26 ] , [ 5, 3, 3, 2 ] , [ 10, 0, 9, 19 ] , [ 10, 18, 18, 19 ] , [ 22, 24, 24, 25 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A7 | 112 | 2 | 28 | 0 | 4 | [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 20, 25 ] , [ 21, 24, 16, 13 ] , [ 22, 21, 21, 1 ] | |||
28B7 | 126 | 1 | 63 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 12, 8, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ] | |||
28C7 | 126 | 2 | 63 | 6 | 0 | [ 1, 0, 14, 1 ] , [ 1, 12, 8, 13 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 17, 21 ] | |||
28D7 | 144 | 1 | 24 | 0 | 0 | [ 5, 13, 2, 11 ] , [ 5, 20, 16, 25 ] , [ 15, 14, 0, 15 ] , [ 17, 20, 16, 9 ] , [ 17, 24, 8, 13 ] , [ 21, 16, 24, 9 ] , [ 27, 4, 20, 3 ] | |||
28E7 | 168 | 1 | 84 | 8 | 0 | [ 1, 26, 1, 27 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 26, 8, 27 ] , [ 25, 12, 0, 9 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A7 | 90 | 1 | 5 | 0 | 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, 4, 1 ] | |||
30B7 | 90 | 1 | 5 | 0 | 0 | [ 1, 18, 6, 19 ] , [ 1, 20, 20, 11 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] | |||
30C7 | 90 | 1 | 10 | 0 | 0 | [ 1, 15, 5, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 24, 0, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 23, 10, 28, 7 ] | |||
30D7 | 90 | 1 | 10 | 0 | 0 | [ 2, 3, 21, 17 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 23, 0, 18, 17 ] , [ 23, 24, 0, 17 ] | |||
30E7 | 90 | 2 | 5 | 0 | 0 | [ 1, 10, 10, 11 ] , [ 1, 24, 8, 13 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ] | |||
30F7 | 108 | 1 | 6 | 0 | 0 | [ 1, 10, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30G7 | 120 | 1 | 20 | 0 | 6 | [ 1, 10, 10, 11 ] , [ 1, 20, 20, 11 ] , [ 6, 5, 25, 11 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 21, 10, 20, 21 ] | |||
30H7 | 120 | 1 | 20 | 0 | 6 | [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 15, 15, 26 ] , [ 15, 22, 2, 19 ] , [ 19, 10, 10, 29 ] , [ 21, 20, 10, 21 ] | |||
30I7 | 120 | 1 | 30 | 8 | 0 | [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 17, 20, 29, 13 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ] | |||
30J7 | 120 | 1 | 30 | 8 | 0 | [ 7, 15, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ] | |||
30K7 | 120 | 1 | 40 | 0 | 6 | [ 1, 12, 6, 13 ] , [ 6, 5, 25, 11 ] , [ 7, 0, 24, 13 ] , [ 7, 18, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] | |||
30L7 | 120 | 1 | 120 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 1, 0, 20, 1 ] , [ 7, 24, 20, 13 ] , [ 11, 0, 10, 11 ] , [ 19, 0, 10, 19 ] , [ 19, 18, 18, 25 ] | |||
30M7 | 120 | 2 | 20 | 0 | 6 | [ 5, 28, 8, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 16, 15, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] | |||
30N7 | 120 | 2 | 30 | 8 | 0 | [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 17, 10, 19, 13 ] , [ 25, 12, 12, 19 ] , [ 29, 0, 0, 29 ] | |||
30O7 | 120 | 2 | 60 | 0 | 6 | [ 13, 4, 10, 17 ] , [ 16, 15, 15, 1 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 24, 16, 25 ] , [ 29, 0, 0, 29 ] | |||
30P7 | 135 | 1 | 15 | 9 | 0 | [ 1, 0, 15, 1 ] , [ 3, 20, 28, 27 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 29, 22, 4, 1 ] | |||
30Q7 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 20, 11 ] , [ 13, 6, 6, 19 ] , [ 19, 0, 0, 19 ] | |||
30R7 | 144 | 1 | 36 | 8 | 0 | [ 1, 15, 15, 16 ] , [ 19, 24, 24, 13 ] , [ 25, 18, 3, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 26, 23, 1 ] | |||
30S7 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 7, 0, 27, 13 ] , [ 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 |
32A7 | 96 | 1 | 6 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 13, 0, 0, 5 ] , [ 16, 17, 15, 0 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 17 ] , [ 17, 12, 12, 1 ] , [ 25, 0, 0, 9 ] , [ 29, 4, 4, 5 ] , [ 31, 0, 0, 31 ] | |||
32B7 | 96 | 1 | 6 | 0 | 0 | [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 0, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 28, 1 ] | |||
32C7 | 96 | 1 | 6 | 0 | 0 | [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 0, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 12, 1 ] | |||
32D7 | 96 | 1 | 6 | 0 | 0 | [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 0, 5 ] , [ 13, 18, 28, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 16, 29 ] , [ 25, 0, 0, 9 ] | |||
32E7 | 96 | 1 | 6 | 0 | 0 | [ 1, 16, 0, 1 ] , [ 7, 0, 0, 23 ] , [ 9, 0, 0, 25 ] , [ 9, 4, 24, 25 ] , [ 13, 8, 0, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 16, 17 ] , [ 21, 16, 16, 29 ] , [ 25, 0, 0, 9 ] , [ 25, 10, 12, 1 ] | |||
32F7 | 96 | 1 | 12 | 0 | 0 | [ 1, 8, 16, 1 ] , [ 1, 16, 0, 1 ] , [ 1, 24, 16, 1 ] , [ 1, 28, 8, 1 ] , [ 5, 30, 20, 5 ] , [ 9, 24, 0, 25 ] , [ 17, 2, 20, 25 ] , [ 17, 12, 8, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 14, 4, 3 ] , [ 29, 8, 24, 21 ] | |||
32G7 | 96 | 1 | 12 | 0 | 0 | [ 1, 6, 4, 25 ] , [ 1, 16, 0, 1 ] , [ 3, 2, 20, 3 ] , [ 3, 10, 4, 3 ] , [ 9, 0, 16, 25 ] , [ 13, 26, 4, 13 ] , [ 17, 2, 28, 9 ] , [ 17, 16, 0, 17 ] , [ 17, 24, 16, 17 ] , [ 25, 28, 8, 9 ] , [ 31, 28, 24, 31 ] | |||
32H7 | 96 | 1 | 12 | 0 | 0 | [ 9, 6, 22, 29 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 16, 25 ] , [ 14, 27, 1, 2 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 31, 16, 16, 31 ] | |||
32I7 | 96 | 1 | 24 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 2, 11, 1, 22 ] , [ 13, 28, 28, 21 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 22, 6, 7 ] , [ 25, 0, 16, 9 ] , [ 25, 24, 24, 9 ] , [ 31, 10, 10, 27 ] , [ 31, 16, 16, 31 ] | |||
32J7 | 96 | 1 | 24 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 5, 4, 4, 29 ] , [ 7, 26, 26, 19 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 0, 25 ] , [ 15, 8, 24, 15 ] , [ 16, 1, 31, 24 ] , [ 17, 16, 16, 17 ] , [ 26, 25, 3, 14 ] , [ 29, 2, 18, 9 ] | |||
32K7 | 96 | 2 | 24 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 9, 24, 24, 25 ] , [ 11, 20, 4, 19 ] , [ 12, 29, 11, 16 ] , [ 15, 12, 20, 31 ] , [ 17, 8, 24, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 16, 24, 29 ] , [ 23, 8, 8, 7 ] | |||
32L7 | 192 | 1 | 6 | 0 | 0 | [ 7, 12, 4, 7 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 19, 20, 12, 11 ] , [ 21, 12, 20, 13 ] , [ 25, 4, 12, 25 ] , [ 25, 16, 16, 9 ] | |||
32M7 | 192 | 1 | 24 | 0 | 0 | [ 1, 2, 30, 29 ] , [ 1, 16, 16, 1 ] , [ 9, 8, 24, 25 ] , [ 10, 19, 29, 4 ] , [ 17, 16, 16, 17 ] , [ 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 |
33A7 | 165 | 1 | 55 | 21 | 0 | [ 0, 32, 1, 0 ] , [ 1, 22, 22, 23 ] , [ 8, 24, 24, 2 ] , [ 10, 0, 0, 10 ] , [ 12, 8, 19, 21 ] , [ 12, 11, 22, 12 ] , [ 23, 0, 0, 23 ] | |||
^ | Level 34 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/34Z) Matrix Generators |
34A7 | 108 | 1 | 18 | 0 | 0 | [ 1, 0, 26, 1 ] , [ 19, 0, 26, 9 ] , [ 21, 0, 14, 13 ] , [ 29, 0, 14, 27 ] , [ 33, 0, 0, 33 ] | |||
34B7 | 108 | 1 | 54 | 0 | 0 | [ 1, 0, 26, 1 ] , [ 19, 0, 26, 9 ] , [ 21, 0, 14, 13 ] , [ 29, 0, 17, 27 ] , [ 33, 0, 0, 33 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A7 | 105 | 1 | 105 | 5 | 0 | [ 1, 25, 10, 6 ] , [ 1, 28, 14, 8 ] , [ 6, 0, 0, 6 ] , [ 11, 20, 10, 31 ] , [ 15, 28, 28, 15 ] , [ 16, 30, 15, 26 ] , [ 22, 0, 0, 8 ] , [ 29, 0, 0, 29 ] | |||
35B7 | 144 | 1 | 48 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 28, 21, 29 ] , [ 8, 7, 28, 29 ] , [ 15, 14, 21, 22 ] , [ 15, 21, 14, 8 ] , [ 34, 28, 7, 13 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A7 | 96 | 1 | 16 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ] | |||
36B7 | 96 | 1 | 32 | 0 | 0 | [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 33, 3, 28 ] , [ 25, 0, 24, 13 ] , [ 28, 27, 25, 19 ] , [ 35, 0, 0, 35 ] | |||
36C7 | 108 | 1 | 9 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 13, 0, 33, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 28, 22, 25 ] | |||
36D7 | 108 | 2 | 27 | 0 | 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 ] , [ 27, 4, 2, 15 ] | |||
36E7 | 108 | 2 | 27 | 4 | 0 | [ 1, 0, 18, 1 ] , [ 13, 24, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 24, 0, 5 ] , [ 29, 26, 17, 19 ] , [ 31, 18, 33, 25 ] | |||
36F7 | 108 | 2 | 27 | 4 | 0 | [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 11, 24, 18, 23 ] , [ 11, 26, 17, 1 ] , [ 15, 14, 16, 27 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 12, 13 ] | |||
36G7 | 108 | 2 | 27 | 4 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 15, 28, 17, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36H7 | 144 | 1 | 4 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 4, 25 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] | |||
36I7 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 8, 1 ] , [ 1, 0, 12, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
36J7 | 144 | 1 | 72 | 8 | 0 | [ 0, 35, 1, 0 ] , [ 19, 0, 0, 19 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 25, 21, 33, 22 ] , [ 35, 0, 0, 35 ] | |||
36K7 | 144 | 1 | 144 | 8 | 0 | [ 0, 35, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 34, 15, 15, 13 ] , [ 35, 0, 0, 35 ] | |||
36L7 | 162 | 1 | 81 | 12 | 0 | [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 33, 2, 22, 21 ] | |||
36M7 | 192 | 1 | 32 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 1, 0, 24, 1 ] , [ 13, 0, 12, 25 ] , [ 13, 0, 24, 25 ] , [ 19, 21, 3, 28 ] , [ 35, 0, 0, 35 ] | |||
36N7 | 216 | 1 | 18 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 12, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ] | |||
36O7 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 8, 13 ] , [ 35, 0, 0, 35 ] | |||
^ | Level 38 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/38Z) Matrix Generators |
38A7 | 114 | 2 | 57 | 0 | 6 | [ 2, 35, 15, 35 ] , [ 20, 19, 19, 1 ] , [ 35, 32, 8, 3 ] , [ 37, 0, 0, 37 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A7 | 96 | 1 | 24 | 0 | 0 | [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 9, 28, 16, 1 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ] | |||
40B7 | 96 | 1 | 24 | 0 | 0 | [ 1, 20, 20, 1 ] , [ 6, 5, 25, 1 ] , [ 21, 20, 0, 21 ] , [ 25, 8, 8, 33 ] , [ 25, 24, 16, 25 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ] | |||
40C7 | 96 | 2 | 24 | 0 | 0 | [ 1, 20, 20, 1 ] , [ 1, 35, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 0, 21 ] , [ 25, 32, 32, 17 ] , [ 36, 5, 35, 16 ] , [ 39, 20, 20, 39 ] | |||
40D7 | 120 | 1 | 30 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 5, 4, 36, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] , [ 31, 10, 5, 21 ] | |||
40E7 | 120 | 1 | 30 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 25, 24, 16, 25 ] , [ 31, 10, 15, 1 ] , [ 31, 30, 5, 1 ] | |||
40F7 | 120 | 1 | 60 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 5, 36, 24, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 15, 1 ] , [ 31, 0, 10, 31 ] | |||
40G7 | 120 | 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 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ] | |||
40H7 | 120 | 1 | 60 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 34, 21, 5 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 31, 30, 5, 1 ] | |||
40I7 | 120 | 1 | 60 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 25, 24, 16, 25 ] , [ 31, 10, 5, 21 ] | |||
40J7 | 120 | 2 | 30 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 35, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 29, 20, 20, 29 ] , [ 31, 20, 10, 31 ] , [ 33, 30, 14, 37 ] | |||
40K7 | 144 | 1 | 18 | 0 | 0 | [ 1, 10, 10, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 16 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 2, 22, 5 ] , [ 33, 16, 16, 9 ] | |||
40L7 | 144 | 1 | 18 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 28, 16, 1 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] | |||
40M7 | 144 | 1 | 18 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] | |||
40N7 | 144 | 1 | 36 | 0 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 10, 11 ] , [ 39, 20, 20, 39 ] | |||
40O7 | 144 | 1 | 36 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 34, 23, 1, 36 ] | |||
40P7 | 144 | 1 | 36 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 8, 37, 27, 20 ] , [ 9, 0, 0, 9 ] , [ 14, 23, 21, 26 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] | |||
40Q7 | 144 | 1 | 36 | 8 | 0 | [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 16, 37, 19, 24 ] , [ 19, 26, 18, 31 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 31 ] | |||
40R7 | 144 | 1 | 36 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 28, 1 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] | |||
40S7 | 144 | 1 | 36 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 28 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] | |||
40T7 | 144 | 1 | 36 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 14, 23, 21, 6 ] , [ 21, 0, 0, 21 ] , [ 31, 6, 26, 27 ] , [ 31, 10, 10, 11 ] , [ 33, 16, 16, 9 ] , [ 39, 20, 20, 39 ] | |||
40U7 | 144 | 1 | 72 | 0 | 0 | [ 6, 7, 9, 4 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 15, 25, 16 ] | |||
40V7 | 144 | 1 | 72 | 0 | 0 | [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 16, 15, 25, 6 ] , [ 21, 20, 20, 21 ] , [ 25, 32, 32, 17 ] , [ 26, 15, 25, 16 ] | |||
40W7 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 10, 38, 37 ] | |||
40X7 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 30, 21 ] , [ 9, 0, 0, 9 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 8, 17 ] | |||
40Y7 | 144 | 1 | 72 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 25, 32, 32, 17 ] , [ 28, 1, 31, 4 ] , [ 32, 37, 35, 8 ] , [ 39, 0, 0, 39 ] | |||
40Z7 | 144 | 1 | 72 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 16, 8, 1 ] , [ 12, 17, 15, 28 ] , [ 25, 32, 32, 17 ] , [ 39, 0, 0, 39 ] | |||
40AA7 | 144 | 1 | 72 | 8 | 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 ] , [ 36, 35, 5, 36 ] | |||
40AB7 | 144 | 1 | 72 | 8 | 0 | [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 14, 31, 13, 26 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 36, 35, 5, 36 ] | |||
40AC7 | 144 | 2 | 18 | 0 | 0 | [ 1, 10, 0, 1 ] , [ 1, 20, 0, 1 ] , [ 9, 24, 24, 33 ] , [ 15, 38, 8, 23 ] , [ 21, 0, 0, 21 ] , [ 29, 20, 20, 29 ] , [ 39, 38, 6, 11 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A7 | 84 | 2 | 7 | 0 | 0 | [ 1, 21, 21, 22 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 38, 2, 7 ] , [ 37, 30, 0, 25 ] | |||
42B7 | 84 | 2 | 21 | 0 | 0 | [ 1, 14, 14, 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 ] | |||
42C7 | 84 | 2 | 21 | 0 | 0 | [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 25, 12, 0, 37 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] | |||
42D7 | 96 | 1 | 24 | 0 | 0 | [ 1, 30, 30, 19 ] , [ 1, 35, 14, 29 ] , [ 19, 6, 30, 25 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] | |||
42E7 | 96 | 1 | 24 | 0 | 0 | [ 1, 14, 14, 29 ] , [ 1, 30, 30, 19 ] , [ 19, 6, 30, 25 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] | |||
42F7 | 112 | 2 | 28 | 0 | 4 | [ 1, 14, 0, 1 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 12, 7 ] , [ 22, 21, 21, 1 ] , [ 25, 18, 36, 31 ] , [ 29, 21, 21, 8 ] | |||
42G7 | 126 | 1 | 63 | 12 | 0 | [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 19, 36, 30, 37 ] , [ 27, 38, 4, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] | |||
42H7 | 126 | 2 | 21 | 12 | 0 | [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 2, 11, 37 ] , [ 29, 14, 14, 1 ] , [ 41, 38, 11, 1 ] | |||
42I7 | 126 | 2 | 21 | 12 | 0 | [ 1, 28, 28, 29 ] , [ 5, 2, 11, 13 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] | |||
42J7 | 126 | 2 | 42 | 12 | 0 | [ 7, 12, 18, 7 ] , [ 11, 32, 8, 31 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 19, 30, 39, 13 ] , [ 23, 6, 12, 5 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 9, 21, 4 ] | |||
42K7 | 126 | 2 | 63 | 10 | 0 | [ 1, 0, 21, 1 ] , [ 5, 2, 11, 13 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ] | |||
42L7 | 126 | 2 | 63 | 12 | 0 | [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 30, 0, 25 ] | |||
42M7 | 144 | 2 | 16 | 0 | 9 | [ 15, 14, 28, 15 ] , [ 25, 36, 12, 19 ] , [ 28, 39, 19, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 36, 12, 31 ] | |||
42N7 | 168 | 1 | 28 | 24 | 0 | [ 1, 21, 21, 22 ] , [ 1, 40, 1, 41 ] , [ 6, 37, 41, 36 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 35, 36 ] , [ 29, 21, 21, 8 ] , [ 37, 30, 0, 25 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A7 | 96 | 1 | 48 | 0 | 0 | [ 1, 33, 33, 34 ] , [ 5, 32, 16, 41 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 33, 16, 24, 25 ] , [ 34, 11, 11, 1 ] , [ 43, 0, 0, 43 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A7 | 90 | 2 | 45 | 2 | 0 | [ 1, 15, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 16, 0, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 22, 18, 21, 7 ] , [ 28, 0, 18, 37 ] , [ 37, 36, 0, 28 ] , [ 41, 25, 25, 1 ] | |||
45B7 | 108 | 2 | 54 | 4 | 0 | [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 28, 9, 9, 19 ] , [ 31, 5, 5, 11 ] , [ 31, 15, 15, 16 ] , [ 34, 27, 24, 31 ] , [ 41, 0, 15, 11 ] , [ 44, 30, 15, 44 ] | |||
45C7 | 120 | 1 | 40 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] , [ 28, 36, 0, 37 ] | |||
45D7 | 135 | 1 | 45 | 15 | 0 | [ 1, 40, 40, 26 ] , [ 13, 24, 15, 7 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 6 ] , [ 26, 0, 0, 26 ] , [ 31, 3, 36, 34 ] , [ 31, 15, 15, 16 ] , [ 31, 30, 0, 16 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A7 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 16 ] , [ 37, 12, 12, 13 ] | |||
48B7 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 40 ] , [ 37, 12, 12, 13 ] , [ 43, 18, 42, 31 ] | |||
48C7 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 6, 6, 37 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 10 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] | |||
48D7 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 4, 27, 45, 4 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] | |||
48E7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 8, 17 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 28, 3, 21, 40 ] , [ 37, 12, 12, 13 ] | |||
48F7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 6, 30, 37 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] | |||
48G7 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 27, 45, 4 ] , [ 10, 39, 45, 22 ] , [ 13, 36, 36, 37 ] , [ 17, 0, 32, 17 ] , [ 22, 15, 21, 34 ] , [ 25, 24, 24, 25 ] , [ 31, 0, 0, 31 ] | |||
48H7 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 7, 36, 12, 7 ] , [ 17, 0, 32, 17 ] , [ 17, 36, 44, 17 ] , [ 20, 3, 5, 32 ] , [ 22, 39, 21, 22 ] , [ 25, 24, 24, 25 ] , [ 37, 12, 12, 13 ] | |||
48I7 | 96 | 2 | 24 | 4 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 13, 21, 21, 34 ] , [ 13, 36, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 32, 1, 31, 40 ] , [ 47, 24, 24, 47 ] | |||
48J7 | 96 | 2 | 24 | 4 | 0 | [ 0, 1, 47, 0 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 33, 16, 32, 33 ] , [ 34, 3, 3, 13 ] , [ 37, 36, 0, 13 ] , [ 47, 0, 0, 47 ] | |||
48K7 | 128 | 1 | 16 | 0 | 8 | [ 1, 0, 16, 1 ] , [ 7, 12, 36, 7 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 24, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 37, 12, 24, 13 ] , [ 37, 45, 21, 10 ] | |||
48L7 | 128 | 1 | 16 | 0 | 8 | [ 1, 0, 32, 1 ] , [ 1, 45, 33, 46 ] , [ 13, 24, 36, 37 ] , [ 13, 36, 24, 37 ] , [ 17, 0, 16, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 31, 12, 36, 31 ] | |||
48M7 | 144 | 1 | 9 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 1, 4, 10, 41 ] , [ 1, 24, 12, 1 ] , [ 5, 36, 18, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 36, 30, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ] | |||
48N7 | 144 | 1 | 9 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 1, 24, 12, 1 ] , [ 5, 36, 18, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 17, 36, 30, 41 ] , [ 25, 0, 24, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 47, 1 ] | |||
48O7 | 144 | 1 | 12 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] | |||
48P7 | 144 | 1 | 12 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 1, 36, 12, 1 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] | |||
48Q7 | 144 | 1 | 18 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 36, 13 ] , [ 41, 0, 33, 41 ] , [ 47, 0, 0, 47 ] | |||
48R7 | 144 | 1 | 18 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 16, 17, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] | |||
48S7 | 144 | 1 | 18 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] | |||
48T7 | 144 | 1 | 18 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 41, 24, 12, 41 ] , [ 45, 28, 2, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] | |||
48U7 | 144 | 1 | 18 | 16 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 8, 1 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 47, 0, 0, 47 ] | |||
48V7 | 144 | 1 | 18 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 31, 17 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 36, 13 ] , [ 47, 0, 0, 47 ] | |||
48W7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 13, 0, 12, 37 ] , [ 13, 24, 30, 37 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 12, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 25, 33 ] , [ 37, 36, 45, 1 ] , [ 47, 0, 0, 47 ] | |||
48X7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 33, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] | |||
48Y7 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] | |||
48Z7 | 144 | 1 | 36 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 36, 1 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] , [ 43, 6, 15, 1 ] | |||
48AA7 | 144 | 1 | 36 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 16, 16, 17 ] , [ 13, 24, 24, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 14, 47, 1 ] , [ 35, 24, 36, 11 ] | |||
48AB7 | 144 | 1 | 36 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 12, 36, 37 ] , [ 13, 44, 44, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 29, 44, 44, 37 ] , [ 47, 0, 0, 47 ] | |||
48AC7 | 144 | 1 | 36 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 20, 1 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] | |||
48AD7 | 144 | 1 | 36 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] | |||
48AE7 | 144 | 1 | 36 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 23, 22, 1, 1 ] , [ 25, 0, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 12, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] | |||
48AF7 | 144 | 1 | 36 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 33, 40, 32, 33 ] , [ 41, 24, 12, 41 ] | |||
48AG7 | 144 | 1 | 36 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 35, 22, 25, 13 ] , [ 41, 24, 12, 41 ] | |||
48AH7 | 144 | 2 | 9 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 11, 26, 35, 13 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 41, 24, 12, 41 ] , [ 45, 28, 2, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 2, 11, 25 ] | |||
48AI7 | 144 | 2 | 18 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 7, 44, 38, 47 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 2, 47, 17 ] , [ 31, 34, 43, 41 ] , [ 43, 10, 19, 29 ] , [ 47, 0, 0, 47 ] | |||
48AJ7 | 144 | 2 | 36 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 3, 10, 23, 45 ] , [ 11, 30, 9, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 23, 0, 24, 23 ] , [ 25, 20, 2, 17 ] , [ 35, 22, 25, 13 ] , [ 41, 24, 12, 41 ] | |||
48AK7 | 192 | 1 | 12 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 7, 24, 18, 7 ] , [ 25, 0, 24, 25 ] , [ 43, 0, 6, 19 ] , [ 47, 0, 4, 47 ] | |||
48AL7 | 192 | 1 | 12 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 13, 24, 36, 37 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 18, 31 ] , [ 47, 0, 4, 47 ] | |||
48AM7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 4, 27, 21, 46 ] , [ 16, 45, 27, 22 ] , [ 19, 18, 30, 31 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 37, 36, 12, 13 ] , [ 38, 39, 9, 8 ] | |||
48AN7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 4, 27, 21, 46 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 31, 6, 42, 19 ] | |||
48AO7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 5, 6, 10, 41 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 22 ] , [ 25, 24, 24, 25 ] , [ 31, 30, 18, 19 ] , [ 37, 6, 18, 25 ] | |||
48AP7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 13, 6, 42, 1 ] , [ 13, 12, 36, 37 ] , [ 16, 45, 27, 46 ] , [ 17, 0, 0, 17 ] , [ 19, 18, 30, 31 ] , [ 25, 24, 24, 25 ] , [ 31, 6, 42, 19 ] | |||
48AQ7 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 19, 18, 30, 31 ] , [ 22, 39, 9, 40 ] , [ 25, 0, 0, 25 ] , [ 25, 24, 24, 25 ] , [ 29, 6, 42, 17 ] , [ 37, 36, 12, 13 ] , [ 43, 30, 18, 7 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A7 | 150 | 1 | 75 | 12 | 0 | [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 27, 10, 47, 23 ] , [ 31, 40, 30, 21 ] , [ 31, 48, 46, 39 ] , [ 39, 20, 20, 9 ] | |||
50B7 | 150 | 1 | 75 | 12 | 0 | [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 7, 36, 0, 43 ] , [ 27, 10, 47, 23 ] , [ 31, 40, 30, 21 ] , [ 39, 20, 20, 9 ] | |||
50C7 | 180 | 1 | 30 | 0 | 0 | [ 5, 32, 12, 47 ] , [ 9, 8, 36, 21 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] | |||
^ | Level 51 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/51Z) Matrix Generators |
51A7 | 108 | 1 | 54 | 4 | 0 | [ 1, 0, 3, 1 ] , [ 1, 17, 17, 35 ] , [ 4, 0, 48, 13 ] , [ 10, 34, 22, 29 ] , [ 16, 0, 0, 16 ] , [ 32, 0, 42, 8 ] , [ 35, 0, 0, 35 ] | |||
51B7 | 108 | 1 | 54 | 4 | 0 | [ 1, 0, 3, 1 ] , [ 1, 34, 34, 35 ] , [ 4, 0, 48, 13 ] , [ 10, 34, 22, 29 ] , [ 16, 0, 0, 16 ] , [ 32, 0, 42, 8 ] , [ 35, 0, 0, 35 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A7 | 112 | 1 | 56 | 0 | 4 | [ 1, 13, 13, 14 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 27, 26, 13, 1 ] , [ 33, 32, 36, 5 ] | |||
52B7 | 112 | 1 | 56 | 0 | 4 | [ 1, 13, 13, 14 ] , [ 9, 36, 36, 17 ] , [ 13, 16, 4, 41 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 0, 27 ] , [ 33, 32, 36, 5 ] | |||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A7 | 162 | 2 | 81 | 24 | 0 | [ 1, 27, 27, 28 ] , [ 1, 52, 1, 53 ] , [ 5, 30, 30, 29 ] , [ 27, 28, 53, 27 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ] , [ 49, 24, 24, 25 ] | |||
54B7 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 19, 0, 12, 37 ] , [ 19, 0, 14, 37 ] , [ 19, 0, 24, 37 ] , [ 25, 18, 22, 31 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ] | |||
^ | Level 55 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/55Z) Matrix Generators |
55A7 | 110 | 2 | 110 | 6 | 2 | [ 24, 5, 10, 9 ] , [ 34, 0, 0, 34 ] , [ 45, 33, 33, 45 ] , [ 49, 50, 15, 49 ] , [ 54, 0, 0, 54 ] , [ 54, 11, 44, 10 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A7 | 84 | 2 | 21 | 0 | 0 | [ 1, 7, 14, 43 ] , [ 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 ] | |||
56B7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 12, 10, 17 ] , [ 17, 40, 24, 17 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 41, 40, 40, 9 ] , [ 43, 14, 21, 29 ] , [ 49, 16, 24, 9 ] | |||
56C7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 12, 10, 17 ] , [ 17, 40, 24, 17 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 31, 54, 31, 45 ] , [ 41, 40, 40, 9 ] , [ 49, 16, 24, 9 ] | |||
56D7 | 112 | 2 | 28 | 4 | 4 | [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 35, 14, 29 ] , [ 17, 24, 48, 25 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] | |||
56E7 | 112 | 2 | 28 | 4 | 4 | [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 35, 42, 1 ] , [ 17, 24, 48, 25 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] | |||
56F7 | 128 | 1 | 32 | 0 | 8 | [ 1, 52, 8, 25 ] , [ 17, 24, 8, 41 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 41, 24, 16, 49 ] , [ 43, 24, 36, 11 ] | |||
56G7 | 128 | 1 | 32 | 0 | 8 | [ 1, 24, 8, 25 ] , [ 17, 24, 8, 41 ] , [ 22, 21, 49, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 41, 24, 16, 49 ] , [ 43, 0, 28, 43 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A7 | 90 | 1 | 15 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 20, 20, 41 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
60B7 | 90 | 1 | 45 | 2 | 0 | [ 1, 0, 30, 1 ] , [ 1, 20, 35, 41 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 1, 50, 20, 41 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
60C7 | 90 | 2 | 15 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 24, 8, 13 ] , [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] | |||
60D7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 6, 38, 31 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 30, 31 ] , [ 49, 0, 40, 49 ] , [ 59, 6, 8, 11 ] | |||
60E7 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 6, 8, 31 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 10, 41 ] , [ 49, 0, 40, 49 ] | |||
60F7 | 96 | 1 | 96 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 45, 31 ] , [ 13, 36, 36, 49 ] , [ 19, 0, 40, 19 ] , [ 19, 6, 23, 1 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 56, 45, 15, 11 ] | |||
60G7 | 96 | 2 | 24 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 30, 1 ] , [ 19, 0, 40, 19 ] , [ 31, 0, 30, 31 ] , [ 31, 15, 45, 16 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 6, 23, 31 ] , [ 55, 12, 42, 7 ] | |||
60H7 | 108 | 1 | 18 | 0 | 0 | [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 57, 55, 32, 33 ] | |||
60I7 | 108 | 1 | 54 | 4 | 0 | [ 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 ] , [ 47, 10, 22, 43 ] | |||
60J7 | 120 | 1 | 40 | 12 | 0 | [ 13, 0, 36, 37 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 15, 15, 26 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] | |||
60K7 | 120 | 2 | 10 | 12 | 0 | [ 1, 40, 40, 41 ] , [ 16, 15, 45, 31 ] , [ 17, 30, 39, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] | |||
60L7 | 120 | 2 | 30 | 12 | 0 | [ 1, 40, 10, 41 ] , [ 16, 15, 45, 31 ] , [ 17, 30, 39, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] | |||
60M7 | 144 | 1 | 18 | 16 | 0 | [ 1, 30, 30, 1 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 43, 17 ] , [ 43, 50, 53, 17 ] , [ 59, 0, 0, 59 ] | |||
60N7 | 144 | 1 | 18 | 16 | 0 | [ 1, 30, 30, 1 ] , [ 21, 40, 50, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 13, 17 ] , [ 59, 0, 0, 59 ] | |||
60O7 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 7, 30, 42, 43 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] | |||
60P7 | Γ0(60) | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 0, 45, 1 ] , [ 13, 36, 36, 49 ] , [ 31, 0, 30, 31 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] | ||
60Q7 | 144 | 1 | 72 | 16 | 0 | [ 1, 30, 45, 31 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 11 ] , [ 39, 16, 8, 51 ] , [ 41, 0, 0, 41 ] | |||
60R7 | 144 | 1 | 72 | 16 | 0 | [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 48, 31 ] , [ 21, 10, 5, 51 ] , [ 25, 12, 12, 37 ] , [ 31, 0, 0, 31 ] , [ 31, 50, 35, 41 ] , [ 41, 0, 0, 41 ] | |||
60S7 | 144 | 2 | 18 | 16 | 0 | [ 1, 30, 30, 1 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 41, 0, 0, 41 ] , [ 43, 10, 43, 17 ] , [ 59, 0, 0, 59 ] | |||
^ | Level 62 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/62Z) Matrix Generators |
62A7 | Γ0(62) | 96 | 1 | 96 | 0 | 0 | [ 1, 0, 31, 1 ] , [ 15, 50, 6, 49 ] , [ 17, 34, 32, 13 ] , [ 31, 60, 16, 43 ] , [ 47, 52, 18, 45 ] , [ 61, 0, 0, 61 ] | ||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A7 | 84 | 2 | 28 | 0 | 0 | [ 1, 18, 45, 55 ] , [ 1, 42, 42, 1 ] , [ 15, 25, 17, 62 ] , [ 15, 35, 49, 43 ] , [ 22, 7, 14, 36 ] , [ 28, 18, 54, 28 ] , [ 36, 28, 35, 50 ] , [ 43, 0, 21, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] | |||
63B7 | 96 | 1 | 32 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 13, 42, 14, 55 ] , [ 29, 21, 49, 29 ] , [ 34, 0, 0, 13 ] , [ 37, 0, 27, 46 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] , [ 58, 21, 55, 46 ] | |||
63C7 | 96 | 2 | 32 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 1, 42, 7, 43 ] , [ 8, 0, 0, 8 ] , [ 8, 42, 7, 29 ] , [ 25, 21, 36, 58 ] , [ 34, 0, 0, 13 ] , [ 34, 21, 56, 55 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] | |||
63D7 | 126 | 2 | 63 | 14 | 0 | [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 13, 11, 2, 26 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] , [ 62, 62, 29, 28 ] | |||
63E7 | 126 | 2 | 126 | 14 | 0 | [ 1, 21, 21, 1 ] , [ 4, 18, 42, 16 ] , [ 10, 36, 18, 46 ] , [ 22, 0, 0, 43 ] , [ 23, 24, 21, 11 ] , [ 28, 45, 9, 28 ] , [ 37, 11, 23, 29 ] , [ 37, 24, 0, 46 ] , [ 46, 39, 0, 37 ] , [ 51, 17, 28, 18 ] , [ 55, 0, 0, 55 ] | |||
63F7 | 192 | 2 | 32 | 0 | 6 | [ 1, 0, 42, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 0, 49, 1 ] , [ 4, 42, 36, 16 ] , [ 20, 0, 49, 41 ] , [ 22, 0, 0, 43 ] , [ 22, 0, 49, 43 ] , [ 37, 21, 50, 25 ] , [ 43, 0, 0, 22 ] | |||
^ | Level 64 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/64Z) Matrix Generators |
64A7 | 96 | 1 | 12 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 18, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 48 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 17, 34, 14, 13 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 2, 37 ] | |||
64B7 | 96 | 1 | 12 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 18, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 17, 34, 14, 13 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 2, 37 ] , [ 60, 41, 63, 58 ] | |||
64C7 | 96 | 1 | 12 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 50, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 16 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 34, 37 ] , [ 57, 12, 44, 25 ] | |||
64D7 | 96 | 1 | 12 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 54, 50, 13 ] , [ 3, 58, 6, 31 ] , [ 9, 40, 24, 57 ] , [ 10, 1, 31, 48 ] , [ 13, 52, 60, 53 ] , [ 17, 16, 48, 49 ] , [ 33, 32, 32, 33 ] , [ 37, 28, 52, 29 ] , [ 37, 52, 12, 29 ] , [ 41, 54, 34, 37 ] , [ 57, 12, 44, 25 ] | |||
64E7 | 96 | 1 | 24 | 0 | 0 | [ 1, 12, 44, 17 ] , [ 1, 32, 32, 1 ] , [ 9, 8, 56, 57 ] , [ 19, 42, 54, 15 ] , [ 25, 40, 56, 41 ] , [ 33, 32, 32, 33 ] , [ 35, 34, 46, 63 ] , [ 37, 4, 28, 29 ] , [ 43, 34, 62, 55 ] , [ 49, 10, 22, 45 ] , [ 49, 16, 48, 17 ] , [ 53, 28, 52, 13 ] , [ 56, 51, 21, 50 ] , [ 61, 4, 12, 5 ] | |||
64F7 | 96 | 1 | 24 | 0 | 0 | [ 1, 62, 10, 45 ] , [ 5, 42, 46, 41 ] , [ 17, 16, 48, 49 ] , [ 25, 8, 24, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 48, 40, 45 ] , [ 37, 60, 52, 29 ] , [ 43, 34, 30, 55 ] , [ 45, 36, 12, 21 ] , [ 47, 6, 26, 51 ] , [ 49, 16, 48, 17 ] , [ 57, 24, 40, 9 ] , [ 60, 29, 3, 10 ] , [ 61, 12, 52, 5 ] | |||
64G7 | 96 | 2 | 48 | 4 | 0 | [ 13, 28, 60, 21 ] , [ 28, 41, 23, 20 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 43, 18, 42, 31 ] , [ 49, 0, 32, 17 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 51, 22, 38, 39 ] , [ 57, 0, 48, 9 ] , [ 57, 24, 24, 9 ] , [ 57, 56, 56, 9 ] , [ 63, 42, 10, 27 ] , [ 63, 48, 16, 63 ] | |||
64H7 | 96 | 2 | 48 | 4 | 0 | [ 13, 28, 60, 21 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 34, 43, 1, 54 ] , [ 49, 0, 32, 17 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 57, 0, 48, 9 ] , [ 57, 24, 24, 9 ] , [ 57, 56, 56, 9 ] , [ 58, 63, 37, 6 ] , [ 60, 17, 63, 36 ] , [ 63, 42, 42, 27 ] , [ 63, 48, 16, 63 ] | |||
64I7 | 96 | 2 | 48 | 4 | 0 | [ 1, 32, 32, 1 ] , [ 5, 4, 36, 29 ] , [ 7, 26, 58, 51 ] , [ 15, 8, 24, 47 ] , [ 17, 16, 16, 49 ] , [ 33, 18, 58, 53 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 41, 8, 8, 25 ] , [ 41, 48, 32, 25 ] , [ 45, 24, 48, 37 ] , [ 48, 1, 63, 24 ] , [ 56, 5, 51, 56 ] | |||
64J7 | 96 | 2 | 48 | 4 | 0 | [ 1, 32, 32, 1 ] , [ 5, 4, 36, 29 ] , [ 7, 26, 26, 51 ] , [ 10, 19, 41, 46 ] , [ 15, 8, 24, 47 ] , [ 17, 16, 16, 49 ] , [ 33, 18, 58, 53 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 41, 8, 8, 25 ] , [ 41, 48, 32, 25 ] , [ 43, 26, 50, 63 ] , [ 56, 5, 51, 56 ] | |||
64K7 | 192 | 1 | 12 | 0 | 0 | [ 1, 32, 0, 1 ] , [ 1, 40, 32, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 52, 48, 1 ] , [ 5, 10, 24, 61 ] , [ 5, 50, 56, 61 ] , [ 9, 32, 0, 57 ] , [ 17, 16, 0, 49 ] , [ 17, 24, 32, 49 ] , [ 33, 48, 0, 33 ] , [ 35, 16, 32, 11 ] , [ 41, 10, 56, 9 ] , [ 49, 36, 48, 17 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A7 | 96 | 1 | 48 | 0 | 0 | [ 1, 33, 33, 34 ] , [ 19, 12, 24, 43 ] , [ 23, 33, 0, 23 ] , [ 23, 44, 22, 45 ] , [ 25, 12, 39, 61 ] , [ 31, 24, 12, 37 ] , [ 34, 33, 33, 1 ] , [ 43, 33, 0, 43 ] , [ 46, 3, 51, 55 ] | |||
66B7 | 96 | 1 | 48 | 0 | 0 | [ 1, 33, 33, 34 ] , [ 19, 12, 24, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 44, 22, 45 ] , [ 25, 45, 39, 28 ] , [ 31, 24, 12, 37 ] , [ 34, 33, 33, 1 ] , [ 43, 0, 0, 43 ] , [ 46, 3, 51, 55 ] | |||
^ | Level 68 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/68Z) Matrix Generators |
68A7 | 108 | 1 | 54 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 48, 17, 3, 28 ] , [ 52, 17, 67, 18 ] , [ 52, 51, 17, 18 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 58, 45 ] | |||
68B7 | Γ0(68) | 108 | 1 | 54 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 39, 18 ] , [ 52, 17, 67, 18 ] , [ 52, 51, 17, 18 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 4, 45 ] | ||
68C7 | 108 | 1 | 54 | 4 | 0 | [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 18, 17, 51, 18 ] , [ 18, 51, 33, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 58, 45 ] | |||
68D7 | 108 | 1 | 54 | 4 | 0 | [ 1, 0, 28, 1 ] , [ 1, 34, 34, 1 ] , [ 9, 0, 32, 53 ] , [ 13, 0, 12, 21 ] , [ 18, 17, 51, 18 ] , [ 18, 51, 33, 18 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 12, 35 ] , [ 52, 17, 23, 52 ] , [ 59, 0, 0, 15 ] , [ 65, 0, 4, 45 ] | |||
^ | Level 69 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/69Z) Matrix Generators |
69A7 | Γ0(69) | 96 | 1 | 96 | 0 | 0 | [ 1, 0, 23, 1 ] , [ 1, 0, 46, 1 ] , [ 28, 60, 51, 28 ] , [ 47, 0, 0, 47 ] , [ 67, 27, 15, 4 ] , [ 68, 0, 46, 68 ] | ||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A7 | 84 | 2 | 42 | 0 | 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, 45, 16 ] , [ 61, 30, 50, 51 ] | |||
70B7 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 28, 0, 1 ] , [ 8, 21, 45, 22 ] , [ 11, 0, 60, 51 ] , [ 26, 35, 65, 31 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] | |||
70C7 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 28, 0, 1 ] , [ 11, 0, 60, 51 ] , [ 26, 35, 65, 31 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 43, 21, 45, 22 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A7 | 96 | 2 | 16 | 0 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 0, 1 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 56, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 27, 19 ] , [ 37, 36, 0, 37 ] , [ 41, 16, 0, 65 ] , [ 43, 42, 9, 49 ] , [ 55, 34, 9, 37 ] | |||
72B7 | 108 | 1 | 27 | 8 | 0 | [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 60, 0, 29 ] , [ 17, 56, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 33, 2, 40, 33 ] , [ 33, 56, 4, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 51, 65, 22, 69 ] | |||
72C7 | 144 | 1 | 12 | 0 | 0 | [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 27, 0, 29 ] , [ 13, 56, 0, 61 ] , [ 25, 53, 36, 13 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 43, 44, 36, 67 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 0, 25 ] , [ 55, 36, 36, 55 ] | |||
72D7 | 144 | 1 | 24 | 0 | 0 | [ 1, 24, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 0, 49 ] , [ 25, 64, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 7, 54, 55 ] , [ 37, 55, 54, 55 ] , [ 47, 10, 0, 23 ] , [ 65, 57, 54, 23 ] | |||
72E7 | 144 | 1 | 144 | 20 | 0 | [ 1, 48, 24, 1 ] , [ 13, 32, 56, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 16, 40, 17 ] , [ 25, 24, 24, 49 ] , [ 28, 9, 63, 28 ] , [ 28, 27, 45, 28 ] , [ 36, 29, 67, 36 ] , [ 46, 63, 27, 1 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ] | |||
^ | Level 77 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/77Z) Matrix Generators |
77A7 | 84 | 2 | 84 | 0 | 0 | [ 3, 5, 19, 32 ] , [ 8, 56, 28, 71 ] , [ 11, 14, 7, 2 ] , [ 15, 14, 35, 43 ] , [ 34, 0, 0, 34 ] , [ 44, 69, 40, 68 ] , [ 74, 67, 50, 38 ] , [ 76, 0, 0, 76 ] | |||
77B7 | Γ0(77) | 96 | 1 | 96 | 0 | 0 | [ 8, 56, 28, 71 ] , [ 11, 25, 73, 68 ] , [ 15, 14, 35, 43 ] , [ 34, 0, 0, 34 ] , [ 55, 69, 73, 2 ] , [ 76, 0, 0, 76 ] | ||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A7 | 84 | 1 | 14 | 0 | 0 | [ 7, 6, 36, 31 ] , [ 27, 52, 26, 27 ] , [ 40, 39, 39, 1 ] , [ 49, 12, 42, 31 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 69, 16, 68, 9 ] , [ 77, 0, 0, 77 ] | |||
78B7 | 112 | 1 | 56 | 0 | 4 | [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 7, 42, 57, 19 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ] | |||
78C7 | 112 | 1 | 56 | 0 | 4 | [ 1, 0, 26, 1 ] , [ 7, 6, 36, 31 ] , [ 7, 42, 18, 19 ] , [ 7, 60, 54, 73 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 39, 1 ] , [ 53, 0, 26, 53 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A7 | 96 | 2 | 48 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 21, 20, 40, 61 ] , [ 40, 73, 23, 68 ] , [ 41, 40, 0, 41 ] , [ 46, 45, 65, 1 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 65, 64, 56, 65 ] , [ 79, 20, 60, 79 ] | |||
80B7 | 96 | 2 | 48 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 21, 20, 40, 61 ] , [ 40, 73, 23, 68 ] , [ 41, 40, 0, 41 ] , [ 46, 45, 65, 1 ] , [ 65, 32, 32, 17 ] , [ 65, 48, 48, 33 ] , [ 65, 64, 16, 65 ] , [ 79, 20, 60, 79 ] | |||
80C7 | 144 | 1 | 18 | 16 | 0 | [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 16, 37, 19, 64 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 54, 71, 13, 26 ] , [ 71, 60, 60, 71 ] | |||
80D7 | 144 | 1 | 18 | 16 | 0 | [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 16, 5, 35, 16 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 59, 66, 18, 31 ] , [ 71, 60, 60, 71 ] | |||
80E7 | 144 | 1 | 36 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 6, 7, 49, 4 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ] | |||
80F7 | Γ0(80) | 144 | 1 | 36 | 0 | 0 | [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 26, 15, 65, 56 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 65, 32, 32, 17 ] | ||
80G7 | 144 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 6, 7, 49, 4 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ] , [ 65, 32, 32, 17 ] | |||
80H7 | 144 | 1 | 72 | 0 | 0 | [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 76 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 56, 55, 25, 46 ] , [ 65, 32, 32, 17 ] | |||
80I7 | 144 | 1 | 72 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 21, 40, 40, 61 ] , [ 22, 7, 45, 58 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ] | |||
80J7 | 144 | 1 | 72 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 17, 32, 0, 33 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ] | |||
80K7 | 144 | 2 | 36 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 1, 60, 60, 1 ] , [ 9, 50, 70, 69 ] , [ 11, 70, 10, 71 ] , [ 16, 15, 65, 6 ] , [ 21, 60, 20, 61 ] , [ 33, 16, 16, 49 ] , [ 41, 40, 40, 41 ] , [ 49, 28, 16, 1 ] , [ 49, 40, 0, 49 ] | |||
^ | Level 81 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/81Z) Matrix Generators |
81A7 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 10, 27, 60, 73 ] , [ 13, 72, 51, 52 ] , [ 16, 45, 37, 13 ] , [ 26, 27, 30, 53 ] , [ 28, 0, 0, 55 ] , [ 28, 0, 18, 55 ] , [ 55, 0, 27, 28 ] , [ 64, 54, 0, 19 ] , [ 73, 0, 15, 10 ] | |||
81B7 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 10, 27, 60, 73 ] , [ 13, 72, 51, 52 ] , [ 26, 27, 30, 53 ] , [ 28, 0, 0, 55 ] , [ 28, 0, 18, 55 ] , [ 37, 54, 0, 46 ] , [ 49, 9, 74, 7 ] , [ 55, 0, 27, 28 ] , [ 73, 0, 15, 10 ] | |||
^ | Level 82 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/82Z) Matrix Generators |
82A7 | 84 | 1 | 42 | 0 | 0 | [ 11, 56, 48, 73 ] , [ 15, 16, 28, 19 ] , [ 19, 48, 43, 31 ] , [ 42, 41, 41, 1 ] , [ 47, 22, 18, 73 ] , [ 63, 16, 28, 67 ] | |||
82B7 | 84 | 1 | 42 | 0 | 0 | [ 11, 56, 48, 73 ] , [ 15, 16, 28, 19 ] , [ 19, 48, 2, 31 ] , [ 42, 41, 41, 1 ] , [ 47, 22, 18, 73 ] , [ 63, 16, 28, 67 ] | |||
^ | Level 83 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/83Z) Matrix Generators |
83A7 | Γ0(83) | 84 | 1 | 84 | 0 | 0 | [ 21, 53, 54, 81 ] , [ 62, 21, 2, 77 ] , [ 82, 0, 0, 82 ] | ||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A7 | 96 | 2 | 32 | 0 | 3 | [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 44, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 77, 43 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 0, 43 ] , [ 57, 28, 56, 57 ] , [ 73, 24, 36, 13 ] | |||
84B7 | 126 | 2 | 21 | 12 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 47, 2, 11, 13 ] , [ 49, 12, 60, 49 ] , [ 57, 28, 56, 57 ] , [ 71, 56, 35, 43 ] | |||
84C7 | 126 | 2 | 63 | 12 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 72, 0, 25 ] , [ 43, 0, 42, 43 ] , [ 49, 12, 60, 49 ] , [ 61, 72, 60, 13 ] , [ 71, 56, 35, 43 ] , [ 71, 70, 7, 1 ] | |||
84D7 | 128 | 1 | 32 | 0 | 8 | [ 1, 0, 28, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 14, 29 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 61, 12, 12, 1 ] | |||
84E7 | 128 | 1 | 32 | 0 | 8 | [ 1, 0, 28, 1 ] , [ 13, 0, 42, 13 ] , [ 13, 60, 48, 73 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 56, 29 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 61, 12, 12, 1 ] | |||
^ | Level 85 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/85Z) Matrix Generators |
85A7 | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 45, 1 ] , [ 16, 0, 0, 16 ] , [ 16, 68, 51, 84 ] , [ 18, 51, 17, 1 ] , [ 26, 0, 55, 36 ] , [ 28, 0, 73, 82 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ] | |||
85B7 | Γ0(85) | 108 | 1 | 108 | 4 | 0 | [ 1, 0, 45, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 17, 15, 81 ] , [ 26, 0, 55, 36 ] , [ 62, 0, 5, 48 ] , [ 69, 0, 0, 69 ] , [ 71, 0, 25, 6 ] , [ 81, 0, 10, 21 ] | ||
^ | Level 89 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/89Z) Matrix Generators |
89A7 | Γ0(89) | 90 | 1 | 90 | 2 | 0 | [ 62, 45, 81, 10 ] , [ 81, 23, 64, 5 ] , [ 88, 0, 0, 88 ] | ||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A7 | 90 | 1 | 45 | 4 | 0 | [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 26, 65, 35, 1 ] , [ 37, 36, 0, 73 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 73, 0, 18, 37 ] , [ 81, 50, 25, 51 ] | |||
90B7 | 90 | 1 | 90 | 4 | 0 | [ 16, 45, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 75, 75, 16 ] , [ 37, 18, 36, 37 ] , [ 41, 60, 0, 11 ] , [ 46, 75, 75, 1 ] , [ 47, 62, 14, 7 ] , [ 51, 50, 25, 21 ] , [ 73, 0, 18, 37 ] , [ 73, 54, 0, 37 ] | |||
90C7 | 108 | 1 | 54 | 8 | 0 | [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 60, 60, 61 ] , [ 39, 37, 44, 21 ] , [ 41, 0, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 73, 54, 54, 19 ] , [ 79, 72, 24, 31 ] , [ 89, 30, 60, 89 ] , [ 89, 62, 74, 1 ] | |||
90D7 | 108 | 1 | 108 | 8 | 0 | [ 1, 30, 30, 1 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 72, 54, 1 ] , [ 61, 15, 45, 76 ] , [ 61, 40, 85, 41 ] , [ 61, 60, 60, 31 ] , [ 71, 60, 60, 71 ] , [ 81, 40, 20, 81 ] | |||
90E7 | 120 | 1 | 40 | 0 | 6 | [ 1, 80, 0, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 54, 55 ] , [ 29, 75, 15, 14 ] , [ 31, 0, 0, 61 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 73, 0, 72, 37 ] | |||
90F7 | 120 | 2 | 20 | 0 | 6 | [ 1, 45, 45, 46 ] , [ 1, 70, 0, 1 ] , [ 10, 9, 21, 19 ] , [ 14, 21, 39, 65 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 0, 37 ] | |||
^ | Level 91 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/91Z) Matrix Generators |
91A7 | Γ0(91) | 112 | 1 | 112 | 0 | 4 | [ 27, 0, 0, 27 ] , [ 39, 49, 48, 65 ] , [ 50, 21, 28, 50 ] , [ 71, 7, 70, 71 ] , [ 78, 28, 84, 15 ] , [ 78, 49, 22, 78 ] , [ 85, 7, 70, 85 ] | ||
^ | Level 93 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/93Z) Matrix Generators |
93A7 | 96 | 2 | 32 | 0 | 3 | [ 1, 31, 31, 32 ] , [ 1, 62, 62, 32 ] , [ 25, 54, 69, 4 ] , [ 32, 0, 0, 32 ] , [ 64, 45, 42, 31 ] , [ 88, 15, 11, 4 ] , [ 88, 57, 48, 85 ] | |||
^ | Level 95 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/95Z) Matrix Generators |
95A7 | 100 | 1 | 100 | 0 | 4 | [ 3, 50, 41, 82 ] , [ 4, 86, 88, 16 ] , [ 31, 20, 50, 66 ] , [ 35, 26, 54, 89 ] , [ 39, 0, 0, 39 ] , [ 41, 10, 50, 91 ] , [ 41, 50, 60, 6 ] , [ 94, 0, 0, 94 ] | |||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A7 | 144 | 1 | 36 | 20 | 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 ] , [ 51, 10, 95, 45 ] , [ 57, 20, 94, 33 ] , [ 65, 0, 0, 65 ] , [ 89, 20, 62, 1 ] , [ 95, 0, 0, 95 ] | |||
96B7 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 16, 93, 75, 94 ] , [ 19, 66, 30, 79 ] , [ 22, 39, 57, 88 ] , [ 29, 6, 42, 65 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 90, 1 ] , [ 61, 12, 84, 37 ] , [ 73, 24, 72, 25 ] | |||
96C7 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 19, 66, 30, 79 ] , [ 22, 39, 57, 40 ] , [ 31, 54, 90, 67 ] , [ 49, 48, 48, 49 ] , [ 61, 6, 42, 1 ] , [ 61, 12, 84, 37 ] , [ 65, 0, 0, 65 ] , [ 73, 24, 72, 25 ] , [ 85, 72, 0, 61 ] | |||
^ | Level 97 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/97Z) Matrix Generators |
97A7 | Γ0(97) | 98 | 1 | 98 | 2 | 2 | [ 16, 70, 29, 36 ] , [ 33, 55, 2, 21 ] , [ 48, 95, 36, 45 ] , [ 70, 71, 89, 21 ] , [ 96, 0, 0, 96 ] | ||
^ | Level 98 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/98Z) Matrix Generators |
98A7 | Γ0(98) | 168 | 1 | 168 | 0 | 0 | [ 1, 0, 49, 1 ] , [ 15, 0, 14, 85 ] , [ 27, 88, 48, 73 ] , [ 51, 28, 62, 11 ] , [ 85, 28, 42, 15 ] , [ 97, 0, 0, 97 ] | ||
^ | Level 100 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/100Z) Matrix Generators |
100A7 | 120 | 1 | 120 | 4 | 0 | [ 1, 50, 25, 51 ] , [ 5, 92, 52, 97 ] , [ 41, 40, 0, 61 ] , [ 51, 0, 0, 51 ] , [ 61, 0, 60, 41 ] , [ 76, 25, 75, 51 ] , [ 79, 40, 40, 19 ] , [ 79, 66, 43, 41 ] | |||
100B7 | 120 | 2 | 30 | 4 | 0 | [ 1, 50, 50, 1 ] , [ 21, 20, 0, 81 ] , [ 26, 25, 25, 1 ] , [ 41, 20, 20, 61 ] , [ 49, 70, 80, 49 ] , [ 49, 84, 44, 53 ] , [ 51, 50, 0, 51 ] , [ 71, 84, 77, 39 ] | |||
100C7 | Γ0(100) | 180 | 1 | 90 | 0 | 0 | [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 9, 8, 36, 21 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 69, 76, 83, 61 ] | ||
^ | Level 102 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/102Z) Matrix Generators |
102A7 | 108 | 1 | 54 | 8 | 0 | [ 1, 0, 54, 1 ] , [ 1, 34, 34, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 22, 29 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 17, 69 ] , [ 83, 0, 42, 59 ] | |||
102B7 | 108 | 1 | 54 | 8 | 0 | [ 1, 0, 54, 1 ] , [ 1, 68, 68, 35 ] , [ 35, 0, 0, 35 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 48, 13 ] , [ 61, 85, 22, 29 ] , [ 67, 0, 0, 67 ] , [ 69, 34, 17, 69 ] , [ 83, 0, 42, 59 ] | |||
^ | Level 104 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/104Z) Matrix Generators |
104A7 | 112 | 2 | 56 | 4 | 4 | [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 9, 88, 36, 17 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 0, 27 ] , [ 33, 32, 88, 57 ] , [ 53, 52, 0, 53 ] , [ 65, 16, 56, 41 ] , [ 87, 62, 49, 17 ] | |||
104B7 | 112 | 2 | 56 | 4 | 4 | [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 9, 88, 88, 17 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 0, 27 ] , [ 33, 32, 88, 57 ] , [ 53, 52, 0, 53 ] , [ 65, 16, 56, 41 ] , [ 79, 78, 65, 1 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A7 | 105 | 2 | 35 | 9 | 0 | [ 1, 35, 35, 71 ] , [ 1, 60, 45, 76 ] , [ 15, 28, 98, 15 ] , [ 16, 30, 15, 61 ] , [ 22, 0, 0, 43 ] , [ 36, 70, 35, 36 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 63, 84, 8 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] | |||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A7 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 81, 1 ] , [ 25, 72, 76, 85 ] , [ 35, 0, 54, 71 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 12, 37 ] , [ 73, 0, 24, 37 ] , [ 73, 0, 68, 37 ] | |||
^ | Level 110 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/110Z) Matrix Generators |
110A7 | 110 | 2 | 55 | 0 | 8 | [ 1, 22, 44, 89 ] , [ 1, 55, 55, 56 ] , [ 18, 25, 97, 37 ] , [ 67, 0, 88, 23 ] , [ 67, 22, 44, 67 ] , [ 72, 3, 41, 17 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] | |||
^ | Level 112 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/112Z) Matrix Generators |
112A7 | 112 | 2 | 56 | 6 | 4 | [ 1, 56, 56, 1 ] , [ 15, 63, 70, 85 ] , [ 29, 0, 84, 85 ] , [ 29, 91, 91, 50 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 79, 47, 94, 29 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] , [ 99, 84, 56, 43 ] | |||
112B7 | 112 | 2 | 56 | 6 | 4 | [ 1, 7, 91, 78 ] , [ 1, 56, 56, 1 ] , [ 23, 103, 66, 57 ] , [ 29, 0, 84, 85 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 71, 7, 42, 1 ] , [ 71, 56, 0, 71 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] | |||
112C7 | 112 | 2 | 56 | 6 | 4 | [ 1, 56, 56, 1 ] , [ 15, 63, 70, 85 ] , [ 29, 0, 84, 85 ] , [ 29, 91, 91, 50 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] , [ 99, 84, 56, 43 ] | |||
112D7 | 112 | 2 | 56 | 6 | 4 | [ 1, 7, 91, 78 ] , [ 1, 56, 56, 1 ] , [ 29, 0, 84, 85 ] , [ 49, 16, 80, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 71, 7, 42, 1 ] , [ 71, 56, 0, 71 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 64, 49 ] | |||
^ | Level 120 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/120Z) Matrix Generators |
120A7 | 120 | 2 | 20 | 6 | 6 | [ 1, 60, 60, 1 ] , [ 1, 80, 80, 41 ] , [ 1, 105, 45, 46 ] , [ 16, 33, 111, 64 ] , [ 25, 96, 64, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 79, 60, 60, 79 ] , [ 97, 96, 0, 73 ] | |||
120B7 | 120 | 2 | 20 | 6 | 6 | [ 1, 60, 60, 1 ] , [ 1, 80, 80, 41 ] , [ 1, 105, 45, 46 ] , [ 16, 33, 111, 4 ] , [ 25, 96, 64, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 80, 80, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 79, 60, 60, 79 ] , [ 97, 96, 0, 73 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A7 | 126 | 2 | 63 | 16 | 0 | [ 1, 63, 63, 64 ] , [ 13, 50, 26, 71 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 75, 1 ] , [ 69, 64, 89, 57 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] | |||
^ | Level 128 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/128Z) Matrix Generators |
128A7 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 11, 118, 10, 119 ] , [ 21, 108, 20, 109 ] , [ 33, 96, 32, 97 ] , [ 41, 56, 8, 89 ] , [ 41, 88, 40, 89 ] , [ 44, 5, 91, 86 ] , [ 45, 68, 28, 85 ] , [ 55, 34, 14, 11 ] , [ 65, 64, 64, 65 ] , [ 68, 81, 7, 46 ] , [ 81, 112, 16, 49 ] , [ 127, 0, 0, 127 ] | |||
^ | Level 132 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/132Z) Matrix Generators |
132A7 | 132 | 2 | 44 | 18 | 0 | [ 1, 66, 33, 67 ] , [ 31, 129, 42, 13 ] , [ 45, 88, 44, 45 ] , [ 67, 0, 0, 67 ] , [ 67, 99, 33, 100 ] , [ 88, 71, 101, 89 ] , [ 89, 0, 0, 89 ] , [ 89, 88, 88, 1 ] , [ 109, 0, 0, 109 ] | |||
^ | Level 156 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/156Z) Matrix Generators |
156A7 | 168 | 2 | 14 | 12 | 12 | [ 1, 39, 39, 118 ] , [ 1, 52, 52, 53 ] , [ 1, 78, 78, 1 ] , [ 45, 88, 125, 33 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 79, 78, 0, 79 ] , [ 109, 144, 36, 49 ] , [ 129, 52, 26, 129 ] , [ 145, 60, 4, 49 ] | |||
156B7 | 168 | 2 | 14 | 12 | 12 | [ 1, 39, 39, 118 ] , [ 1, 52, 52, 53 ] , [ 1, 78, 78, 1 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 69, 64, 17, 9 ] , [ 79, 78, 0, 79 ] , [ 109, 144, 36, 49 ] , [ 129, 52, 26, 129 ] , [ 145, 60, 4, 49 ] |