[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
11
14
16
17
18
20
21
22
24
25
27
28
30
31
32
35
36
39
42
44
45
48
50
52
54
56
58
60
63
64
66
69
70
71
72
75
76
77
78
79
84
86
87
90
91
100
105
108
121
125
126
^ | Level 10 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/10Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
10A6 | 180 | 1 | 45 | 4 | 0 | [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] | |||
^ | Level 11 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/11Z) Matrix Generators |
11A6 | 132 | 1 | 66 | 0 | 0 | [ 3, 6, 9, 0 ] , [ 10, 0, 0, 10 ] | |||
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
14A6 | 126 | 2 | 63 | 4 | 0 | [ 1, 12, 1, 13 ] , [ 5, 8, 2, 9 ] , [ 7, 2, 10, 7 ] , [ 13, 0, 0, 13 ] | |||
14B6 | 168 | 1 | 168 | 8 | 3 | [ 11, 5, 7, 2 ] , [ 13, 0, 0, 13 ] , [ 13, 2, 13, 1 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A6 | 96 | 1 | 4 | 0 | 0 | [ 1, 8, 8, 1 ] , [ 9, 4, 12, 9 ] , [ 9, 8, 0, 9 ] , [ 11, 8, 12, 3 ] , [ 13, 4, 8, 5 ] , [ 15, 8, 8, 15 ] | |||
16B6 | 96 | 1 | 24 | 0 | 0 | [ 1, 8, 8, 1 ] , [ 4, 15, 1, 0 ] , [ 9, 4, 4, 9 ] , [ 9, 8, 0, 9 ] , [ 9, 12, 12, 9 ] , [ 15, 8, 8, 15 ] | |||
16C6 | 192 | 1 | 48 | 4 | 0 | [ 0, 1, 15, 0 ] , [ 1, 0, 8, 1 ] , [ 1, 8, 8, 1 ] , [ 8, 15, 1, 8 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ] | |||
^ | Level 17 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/17Z) Matrix Generators |
17A6 | 136 | 1 | 136 | 8 | 1 | [ 3, 11, 13, 14 ] , [ 4, 11, 15, 16 ] , [ 12, 3, 1, 6 ] , [ 16, 0, 0, 16 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A6 | 108 | 1 | 9 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 6, 12, 1 ] , [ 7, 6, 0, 13 ] , [ 17, 0, 0, 17 ] | |||
18B6 | 108 | 1 | 27 | 4 | 0 | [ 1, 17, 8, 11 ] , [ 2, 15, 15, 5 ] , [ 10, 9, 9, 1 ] , [ 13, 15, 15, 16 ] | |||
18C6 | 108 | 1 | 108 | 4 | 0 | [ 1, 12, 6, 1 ] , [ 3, 4, 11, 3 ] , [ 13, 9, 9, 16 ] , [ 17, 6, 12, 17 ] | |||
18D6 | 108 | 2 | 27 | 4 | 0 | [ 5, 0, 12, 11 ] , [ 7, 12, 0, 13 ] , [ 13, 0, 6, 7 ] , [ 15, 10, 17, 15 ] | |||
18E6 | 108 | 2 | 54 | 4 | 0 | [ 1, 16, 1, 17 ] , [ 7, 3, 3, 4 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A6 | 120 | 1 | 40 | 0 | 6 | [ 5, 17, 17, 14 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ] , [ 17, 16, 0, 13 ] | |||
20B6 | 120 | 1 | 60 | 8 | 0 | [ 6, 15, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 0, 11 ] , [ 12, 15, 17, 8 ] | |||
20C6 | 120 | 1 | 120 | 0 | 6 | [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 9, 3, 8 ] , [ 17, 6, 10, 13 ] | |||
20D6 | 180 | 1 | 45 | 4 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 5, 11 ] , [ 11, 0, 10, 11 ] , [ 17, 14, 5, 3 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A6 | 84 | 2 | 7 | 0 | 0 | [ 1, 18, 3, 13 ] , [ 4, 6, 3, 10 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 13, 6, 15, 7 ] | |||
21B6 | 112 | 1 | 112 | 0 | 1 | [ 1, 7, 14, 15 ] , [ 1, 18, 3, 13 ] , [ 8, 14, 7, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 6, 15, 7 ] , [ 15, 4, 17, 20 ] , [ 15, 14, 7, 1 ] | |||
21C6 | 126 | 1 | 63 | 10 | 0 | [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 6, 18, 19 ] , [ 19, 9, 15, 16 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A6 | 120 | 1 | 12 | 0 | 0 | [ 1, 11, 11, 12 ] , [ 7, 4, 2, 17 ] , [ 7, 20, 10, 13 ] , [ 11, 14, 18, 13 ] , [ 16, 21, 5, 19 ] | |||
22B6 | 132 | 1 | 66 | 12 | 0 | [ 5, 2, 9, 17 ] , [ 9, 10, 0, 5 ] , [ 12, 11, 11, 1 ] , [ 21, 0, 0, 21 ] | |||
22C6 | Γ1(22) | 180 | 1 | 36 | 0 | 0 | [ 5, 10, 16, 19 ] , [ 7, 4, 2, 17 ] , [ 11, 14, 18, 13 ] , [ 12, 11, 11, 12 ] , [ 18, 9, 21, 2 ] | ||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A6 | 96 | 1 | 32 | 0 | 3 | [ 1, 9, 5, 22 ] , [ 1, 16, 16, 17 ] , [ 9, 16, 8, 9 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 22, 15, 19, 1 ] | |||
24B6 | 96 | 1 | 48 | 0 | 0 | [ 1, 6, 3, 19 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 12, 12, 7 ] , [ 13, 0, 12, 13 ] , [ 17, 4, 12, 17 ] , [ 17, 16, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24C6 | 96 | 1 | 96 | 0 | 3 | [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 4, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] , [ 22, 15, 19, 1 ] | |||
24D6 | 144 | 1 | 12 | 12 | 0 | [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 9, 16, 8, 9 ] , [ 13, 12, 12, 13 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] | |||
24E6 | 144 | 1 | 36 | 8 | 0 | [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 8, 13, 19, 16 ] , [ 13, 4, 16, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] | |||
24F6 | 144 | 1 | 36 | 8 | 0 | [ 1, 12, 0, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 1, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] | |||
24G6 | 144 | 1 | 36 | 12 | 0 | [ 7, 0, 0, 7 ] , [ 9, 4, 20, 9 ] , [ 13, 12, 12, 13 ] , [ 15, 4, 20, 15 ] , [ 15, 20, 4, 15 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] | |||
24H6 | 144 | 1 | 36 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 1, 4, 22, 17 ] , [ 7, 0, 12, 7 ] , [ 7, 10, 7, 17 ] , [ 17, 0, 12, 17 ] , [ 19, 6, 9, 13 ] , [ 21, 8, 4, 21 ] , [ 23, 0, 0, 23 ] | |||
24I6 | 144 | 1 | 36 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 7, 6, 9, 1 ] , [ 13, 4, 10, 5 ] , [ 17, 0, 12, 17 ] , [ 21, 8, 4, 21 ] , [ 23, 0, 0, 23 ] | |||
24J6 | 144 | 1 | 72 | 8 | 0 | [ 5, 0, 0, 5 ] , [ 11, 12, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 12, 13 ] , [ 13, 22, 7, 23 ] , [ 15, 8, 22, 15 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 0, 19 ] , [ 23, 0, 0, 23 ] | |||
24K6 | 144 | 2 | 36 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 1, 20, 14, 17 ] , [ 3, 14, 1, 21 ] , [ 7, 0, 12, 7 ] , [ 9, 8, 16, 9 ] , [ 17, 0, 12, 17 ] , [ 19, 6, 9, 13 ] , [ 23, 0, 0, 23 ] | |||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A6 | 150 | 1 | 30 | 10 | 0 | [ 3, 8, 5, 22 ] , [ 11, 5, 5, 16 ] , [ 18, 1, 1, 14 ] , [ 24, 0, 0, 24 ] | |||
25B6 | 150 | 1 | 30 | 10 | 0 | [ 6, 15, 15, 21 ] , [ 6, 21, 16, 2 ] , [ 7, 23, 8, 5 ] , [ 19, 21, 3, 6 ] | |||
25C6 | 150 | 1 | 30 | 10 | 0 | [ 4, 3, 11, 21 ] , [ 4, 15, 15, 19 ] , [ 9, 4, 19, 3 ] , [ 16, 20, 20, 11 ] | |||
25D6 | 150 | 1 | 30 | 10 | 0 | [ 16, 20, 20, 11 ] , [ 17, 5, 17, 8 ] , [ 24, 0, 0, 24 ] , [ 24, 14, 9, 23 ] | |||
25E6 | 150 | 1 | 75 | 2 | 0 | [ 1, 0, 15, 1 ] , [ 2, 14, 5, 23 ] , [ 11, 20, 15, 16 ] , [ 24, 0, 0, 24 ] | |||
25F6 | 150 | 1 | 75 | 2 | 0 | [ 1, 5, 15, 1 ] , [ 2, 14, 5, 23 ] , [ 11, 0, 15, 16 ] , [ 24, 0, 0, 24 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A6 | 108 | 1 | 36 | 0 | 3 | [ 1, 0, 18, 1 ] , [ 1, 12, 2, 25 ] , [ 7, 24, 13, 10 ] , [ 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 |
28A6 | 84 | 2 | 21 | 0 | 0 | [ 5, 22, 16, 9 ] , [ 9, 19, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 0, 15 ] , [ 17, 24, 20, 25 ] , [ 21, 8, 20, 13 ] , [ 21, 12, 4, 21 ] | |||
28B6 | 84 | 2 | 21 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 5, 8, 16, 9 ] , [ 9, 12, 10, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 21 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 21 ] | |||
28C6 | 84 | 2 | 21 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 20, 8, 21 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 21 ] , [ 23, 26, 24, 15 ] , [ 25, 4, 8, 17 ] | |||
28D6 | 96 | 1 | 8 | 0 | 0 | [ 1, 7, 7, 22 ] , [ 1, 14, 14, 1 ] , [ 9, 8, 26, 17 ] , [ 15, 0, 14, 15 ] , [ 25, 8, 12, 5 ] | |||
28E6 | 96 | 1 | 8 | 0 | 0 | [ 5, 12, 12, 1 ] , [ 9, 12, 4, 21 ] , [ 13, 14, 0, 13 ] , [ 27, 0, 0, 27 ] , [ 27, 14, 14, 27 ] | |||
28F6 | 96 | 1 | 32 | 0 | 0 | [ 1, 7, 7, 22 ] , [ 1, 14, 21, 15 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 13 ] | |||
28G6 | 96 | 1 | 48 | 0 | 0 | [ 1, 14, 21, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 0, 15 ] , [ 17, 24, 8, 13 ] | |||
28H6 | 112 | 1 | 112 | 8 | 1 | [ 1, 12, 8, 13 ] , [ 1, 26, 1, 27 ] , [ 9, 16, 0, 25 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 21, 8 ] | |||
28I6 | 126 | 1 | 63 | 10 | 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, 24, 21 ] | |||
28J6 | 126 | 2 | 63 | 4 | 0 | [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 26, 22, 27 ] , [ 21, 16, 24, 21 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A6 | 90 | 1 | 45 | 2 | 0 | [ 1, 0, 15, 1 ] , [ 1, 18, 6, 19 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] | |||
30B6 | 90 | 1 | 45 | 4 | 0 | [ 1, 18, 6, 19 ] , [ 1, 20, 20, 11 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 5, 1 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] | |||
30C6 | 108 | 1 | 18 | 0 | 0 | [ 1, 10, 10, 11 ] , [ 1, 15, 0, 1 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 29, 0, 0, 29 ] | |||
30D6 | 108 | 1 | 54 | 4 | 0 | [ 1, 25, 10, 11 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 7 ] , [ 27, 25, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30E6 | 120 | 1 | 40 | 0 | 6 | [ 1, 20, 10, 21 ] , [ 7, 0, 24, 13 ] , [ 7, 18, 0, 13 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 11 ] , [ 28, 3, 9, 1 ] | |||
30F6 | 120 | 2 | 60 | 4 | 6 | [ 13, 4, 10, 17 ] , [ 16, 15, 15, 1 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 15, 19 ] , [ 19, 24, 16, 25 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 31 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/31Z) Matrix Generators |
31A6 | 96 | 1 | 32 | 0 | 0 | [ 0, 29, 16, 12 ] , [ 15, 19, 6, 18 ] , [ 16, 27, 2, 17 ] , [ 30, 0, 0, 30 ] | |||
31B6 | 160 | 1 | 32 | 0 | 10 | [ 15, 19, 6, 18 ] , [ 16, 21, 18, 14 ] , [ 17, 3, 1, 13 ] , [ 30, 0, 0, 30 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A6 | 96 | 1 | 12 | 0 | 0 | [ 1, 4, 16, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 16, 0, 1 ] , [ 9, 8, 16, 25 ] , [ 13, 16, 24, 5 ] , [ 15, 14, 8, 31 ] , [ 17, 4, 16, 17 ] , [ 17, 16, 0, 17 ] , [ 21, 2, 0, 29 ] , [ 29, 2, 16, 21 ] | |||
32B6 | 96 | 1 | 24 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 7, 28, 4, 7 ] , [ 8, 5, 19, 4 ] , [ 9, 16, 16, 25 ] , [ 9, 24, 8, 25 ] , [ 11, 28, 20, 19 ] , [ 16, 9, 7, 12 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 0, 29 ] , [ 29, 4, 12, 5 ] , [ 31, 28, 4, 15 ] | |||
32C6 | 96 | 2 | 24 | 4 | 0 | [ 3, 24, 16, 11 ] , [ 7, 8, 8, 23 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 8, 17 ] , [ 23, 20, 12, 23 ] , [ 25, 8, 8, 9 ] , [ 28, 1, 15, 12 ] , [ 29, 4, 4, 5 ] , [ 31, 8, 24, 31 ] | |||
32D6 | 96 | 2 | 24 | 4 | 0 | [ 1, 12, 20, 17 ] , [ 3, 24, 0, 11 ] , [ 8, 7, 9, 8 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 17, 24, 8, 17 ] , [ 23, 20, 28, 23 ] , [ 25, 8, 8, 9 ] , [ 29, 4, 4, 5 ] , [ 31, 8, 24, 31 ] | |||
32E6 | 96 | 2 | 24 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 13, 12, 12, 21 ] , [ 14, 27, 1, 2 ] , [ 17, 16, 16, 17 ] , [ 18, 7, 13, 30 ] , [ 25, 24, 24, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 22, 14, 11 ] , [ 31, 24, 8, 31 ] | |||
32F6 | 96 | 2 | 24 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 13, 12, 12, 21 ] , [ 14, 27, 1, 2 ] , [ 17, 16, 16, 17 ] , [ 20, 13, 11, 4 ] , [ 25, 24, 24, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 22, 30, 11 ] , [ 31, 24, 8, 31 ] | |||
32G6 | 128 | 2 | 64 | 4 | 8 | [ 8, 25, 23, 24 ] , [ 17, 0, 16, 17 ] , [ 17, 16, 0, 17 ] , [ 21, 21, 13, 10 ] , [ 25, 8, 16, 9 ] , [ 25, 16, 8, 9 ] , [ 31, 0, 0, 31 ] | |||
32H6 | 192 | 1 | 48 | 4 | 0 | [ 0, 1, 31, 0 ] , [ 1, 16, 16, 1 ] , [ 5, 28, 4, 29 ] , [ 9, 0, 0, 25 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 20, 5, 3, 20 ] , [ 25, 0, 0, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A6 | 84 | 2 | 42 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 6, 0, 0, 6 ] , [ 11, 25, 0, 16 ] , [ 16, 30, 15, 26 ] , [ 21, 10, 30, 21 ] , [ 26, 20, 25, 26 ] , [ 34, 0, 0, 34 ] | |||
35B6 | 105 | 2 | 35 | 9 | 0 | [ 1, 25, 10, 6 ] , [ 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 ] | |||
35C6 | 120 | 1 | 40 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 4, 14, 31, 30 ] , [ 6, 0, 10, 6 ] , [ 22, 0, 14, 8 ] , [ 22, 28, 0, 8 ] , [ 29, 0, 0, 29 ] | |||
35D6 | 120 | 1 | 40 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 6, 0, 10, 6 ] , [ 9, 14, 11, 25 ] , [ 22, 0, 14, 8 ] , [ 22, 28, 0, 8 ] , [ 29, 0, 0, 29 ] | |||
35E6 | 126 | 1 | 126 | 10 | 0 | [ 1, 0, 14, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 30, 15, 26 ] , [ 21, 10, 30, 21 ] , [ 26, 20, 25, 26 ] , [ 33, 30, 29, 2 ] , [ 34, 0, 0, 34 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A6 | 72 | 1 | 36 | 0 | 0 | [ 1, 4, 28, 5 ] , [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] | |||
36B6 | 96 | 1 | 32 | 0 | 3 | [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 28, 15, 33, 19 ] , [ 28, 27, 25, 19 ] , [ 35, 0, 0, 35 ] | |||
36C6 | 108 | 1 | 27 | 8 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 12, 0, 13 ] , [ 29, 28, 22, 25 ] , [ 33, 10, 17, 15 ] | |||
36D6 | 108 | 1 | 54 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 12, 0, 1 ] , [ 13, 0, 12, 25 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 2, 26, 13 ] , [ 29, 32, 17, 25 ] | |||
36E6 | 108 | 1 | 54 | 10 | 0 | [ 15, 32, 34, 27 ] , [ 19, 0, 0, 19 ] , [ 19, 28, 10, 11 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 29, 0, 24, 5 ] , [ 33, 10, 35, 15 ] | |||
36F6 | 108 | 1 | 54 | 10 | 0 | [ 1, 4, 28, 5 ] , [ 1, 24, 12, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] | |||
36G6 | 108 | 1 | 108 | 6 | 3 | [ 1, 12, 20, 25 ] , [ 1, 27, 27, 10 ] , [ 1, 32, 32, 17 ] , [ 4, 1, 19, 32 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] | |||
36H6 | 108 | 2 | 27 | 4 | 0 | [ 1, 0, 18, 1 ] , [ 11, 14, 32, 31 ] , [ 13, 0, 15, 25 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] | |||
36I6 | 108 | 2 | 54 | 10 | 0 | [ 15, 32, 34, 27 ] , [ 19, 0, 0, 19 ] , [ 23, 34, 13, 13 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 29, 0, 24, 5 ] , [ 33, 10, 35, 15 ] | |||
36J6 | 144 | 1 | 12 | 0 | 12 | [ 1, 0, 12, 1 ] , [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 16, 1 ] , [ 35, 0, 0, 35 ] | |||
36K6 | 144 | 1 | 24 | 0 | 12 | [ 1, 0, 24, 1 ] , [ 1, 6, 34, 25 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 30, 19 ] , [ 19, 3, 29, 16 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A6 | 84 | 1 | 14 | 0 | 0 | [ 7, 6, 36, 31 ] , [ 10, 12, 3, 31 ] , [ 14, 0, 0, 14 ] , [ 14, 26, 26, 1 ] , [ 27, 13, 26, 27 ] , [ 38, 0, 0, 38 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A6 | 84 | 2 | 21 | 4 | 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 ] , [ 29, 0, 0, 29 ] , [ 41, 8, 2, 25 ] | |||
42B6 | 84 | 2 | 28 | 0 | 3 | [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 22, 35, 21, 1 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 41, 39, 33, 14 ] | |||
42C6 | 84 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 21, 0, 1 ] , [ 1, 24, 30, 7 ] , [ 1, 30, 18, 37 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 29, 21, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42D6 | 126 | 2 | 63 | 16 | 0 | [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 18, 1 ] , [ 15, 2, 4, 9 ] , [ 15, 14, 7, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A6 | 88 | 2 | 44 | 0 | 4 | [ 22, 3, 7, 33 ] , [ 22, 13, 5, 43 ] , [ 23, 0, 0, 23 ] , [ 34, 11, 11, 1 ] , [ 43, 0, 0, 43 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A6 | 90 | 1 | 15 | 6 | 0 | [ 1, 15, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 16, 0, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 22, 18, 21, 7 ] , [ 26, 20, 35, 1 ] , [ 28, 0, 18, 37 ] , [ 37, 36, 0, 28 ] | |||
45B6 | 90 | 1 | 30 | 6 | 0 | [ 1, 30, 15, 1 ] , [ 2, 3, 21, 32 ] , [ 2, 32, 14, 22 ] , [ 19, 0, 0, 19 ] , [ 22, 18, 36, 7 ] , [ 28, 0, 18, 37 ] , [ 31, 0, 30, 16 ] , [ 37, 36, 0, 28 ] | |||
45C6 | 90 | 1 | 90 | 2 | 0 | [ 11, 5, 5, 31 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 28, 0, 18, 37 ] , [ 31, 0, 30, 16 ] , [ 31, 15, 30, 16 ] , [ 37, 18, 36, 37 ] , [ 37, 36, 0, 28 ] | |||
45D6 | 108 | 1 | 54 | 8 | 0 | [ 1, 40, 40, 26 ] , [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 24, 2, 4, 36 ] , [ 28, 9, 9, 19 ] , [ 31, 15, 15, 16 ] , [ 41, 0, 15, 11 ] , [ 44, 30, 15, 44 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A6 | 72 | 1 | 3 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 20, 14, 17 ] , [ 33, 32, 16, 33 ] , [ 37, 0, 36, 13 ] , [ 39, 34, 35, 33 ] , [ 41, 24, 36, 41 ] | |||
48B6 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 15, 44, 22, 39 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 1, 29 ] , [ 35, 24, 12, 11 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 36, 41 ] | |||
48C6 | 72 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 15, 44, 22, 39 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 34, 1, 29 ] , [ 35, 24, 12, 11 ] , [ 37, 0, 0, 13 ] , [ 41, 24, 36, 41 ] , [ 47, 4, 22, 7 ] , [ 47, 20, 38, 7 ] | |||
48D6 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 27, 45, 4 ] , [ 7, 36, 12, 7 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 16, 17 ] , [ 22, 39, 21, 46 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] | |||
48E6 | 96 | 1 | 48 | 8 | 0 | [ 0, 17, 31, 36 ] , [ 1, 24, 24, 1 ] , [ 13, 36, 24, 37 ] , [ 13, 45, 45, 34 ] , [ 17, 0, 24, 17 ] , [ 17, 16, 4, 1 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 47, 36, 12, 47 ] | |||
48F6 | 96 | 1 | 48 | 8 | 0 | [ 0, 17, 31, 36 ] , [ 1, 16, 4, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 36, 24, 37 ] , [ 13, 45, 45, 34 ] , [ 17, 0, 24, 17 ] , [ 25, 24, 0, 25 ] , [ 25, 36, 36, 25 ] , [ 47, 36, 12, 47 ] | |||
48G6 | 96 | 2 | 24 | 8 | 0 | [ 0, 1, 47, 24 ] , [ 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 ] , [ 47, 24, 24, 47 ] | |||
48H6 | 96 | 2 | 24 | 8 | 0 | [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 36, 0, 13 ] , [ 47, 0, 0, 47 ] | |||
48I6 | 144 | 1 | 36 | 8 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 23, 14, 11, 13 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 47, 22, 19, 13 ] | |||
48J6 | 144 | 1 | 36 | 8 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 24, 24, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 36, 17 ] , [ 23, 14, 11, 13 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 35, 24, 36, 11 ] | |||
48K6 | 144 | 1 | 72 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 0, 12, 29 ] , [ 23, 34, 1, 37 ] , [ 23, 34, 7, 25 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 24, 13 ] , [ 43, 46, 19, 17 ] , [ 47, 0, 0, 47 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A6 | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 25, 1 ] , [ 11, 30, 30, 41 ] , [ 21, 20, 0, 31 ] , [ 29, 30, 0, 19 ] , [ 33, 8, 30, 27 ] , [ 43, 26, 26, 39 ] | |||
50B6 | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 25, 1 ] , [ 7, 48, 8, 5 ] , [ 19, 6, 38, 41 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 16, 6, 17 ] | |||
50C6 | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 25, 1 ] , [ 9, 4, 44, 3 ] , [ 9, 20, 40, 39 ] , [ 19, 38, 21, 21 ] , [ 31, 30, 0, 21 ] , [ 41, 20, 20, 11 ] | |||
50D6 | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 25, 1 ] , [ 29, 0, 30, 19 ] , [ 37, 30, 42, 3 ] , [ 41, 0, 40, 11 ] , [ 41, 20, 20, 11 ] , [ 49, 14, 34, 23 ] | |||
50E6 | 180 | 1 | 90 | 4 | 0 | [ 5, 32, 12, 47 ] , [ 19, 26, 33, 11 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A6 | 84 | 1 | 42 | 0 | 0 | [ 1, 0, 26, 1 ] , [ 1, 32, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 0, 26, 27 ] , [ 29, 6, 20, 49 ] , [ 29, 32, 33, 49 ] , [ 45, 24, 32, 9 ] | |||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A6 | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 25, 24, 22, 19 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 30, 7 ] , [ 37, 0, 18, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 24, 19 ] , [ 53, 0, 0, 53 ] | |||
54B6 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 42, 1 ] , [ 17, 0, 0, 35 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 42, 19 ] , [ 49, 36, 22, 25 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A6 | 84 | 2 | 21 | 4 | 0 | [ 1, 7, 42, 15 ] , [ 1, 16, 4, 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 ] | |||
56B6 | 84 | 2 | 42 | 0 | 0 | [ 1, 7, 0, 1 ] , [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 23, 26, 52, 15 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 16, 24, 49 ] | |||
56C6 | 84 | 2 | 42 | 0 | 0 | [ 1, 7, 0, 1 ] , [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 16, 24, 49 ] | |||
56D6 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 11, 44, 39, 39 ] , [ 17, 0, 41, 33 ] , [ 25, 8, 40, 33 ] , [ 29, 0, 14, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 32, 1 ] , [ 33, 8, 46, 1 ] , [ 53, 44, 32, 53 ] | |||
56E6 | 96 | 1 | 48 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 42, 21, 29 ] , [ 17, 40, 10, 17 ] , [ 17, 40, 24, 17 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 41, 40, 40, 9 ] , [ 49, 16, 24, 9 ] | |||
56F6 | 112 | 2 | 28 | 8 | 4 | [ 1, 28, 28, 1 ] , [ 9, 48, 40, 33 ] , [ 23, 47, 38, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 35, 35, 50 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 43, 28, 0, 43 ] , [ 49, 16, 24, 49 ] | |||
56G6 | 112 | 2 | 28 | 8 | 4 | [ 1, 28, 28, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 39, 10, 41 ] , [ 22, 49, 21, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 47, 8, 16, 23 ] , [ 49, 16, 24, 49 ] | |||
56H6 | 112 | 2 | 112 | 12 | 1 | [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 22, 49, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ] | |||
^ | Level 58 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/58Z) Matrix Generators |
58A6 | Γ0(58) | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 29, 1 ] , [ 25, 30, 30, 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 |
60A6 | 80 | 1 | 80 | 0 | 2 | [ 1, 0, 20, 1 ] , [ 1, 36, 48, 49 ] , [ 11, 48, 4, 23 ] , [ 16, 45, 15, 16 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 56, 13 ] , [ 41, 0, 40, 41 ] , [ 46, 15, 15, 1 ] | |||
60B6 | 90 | 1 | 15 | 6 | 0 | [ 1, 0, 30, 1 ] , [ 1, 20, 20, 41 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
60C6 | 90 | 1 | 45 | 4 | 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, 50, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
60D6 | 90 | 2 | 15 | 6 | 0 | [ 1, 0, 30, 1 ] , [ 1, 24, 8, 13 ] , [ 1, 40, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 45, 1 ] , [ 37, 0, 12, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] | |||
60E6 | 108 | 1 | 54 | 4 | 0 | [ 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 ] , [ 31, 55, 10, 41 ] , [ 41, 0, 0, 41 ] | |||
60F6 | 108 | 1 | 54 | 8 | 0 | [ 1, 40, 40, 41 ] , [ 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, 30, 42, 23 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A6 | 72 | 1 | 72 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 14, 14, 8 ] , [ 1, 14, 59, 8 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 42, 34 ] , [ 16, 0, 21, 4 ] , [ 22, 0, 42, 43 ] , [ 22, 42, 0, 43 ] , [ 43, 0, 21, 22 ] , [ 57, 56, 49, 15 ] | |||
63B6 | 84 | 2 | 28 | 0 | 0 | [ 1, 18, 45, 55 ] , [ 1, 42, 42, 1 ] , [ 15, 14, 28, 1 ] , [ 15, 46, 38, 41 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 21, 22 ] , [ 43, 49, 56, 36 ] , [ 46, 27, 45, 10 ] , [ 50, 35, 7, 15 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] | |||
63C6 | 84 | 2 | 28 | 0 | 3 | [ 1, 18, 45, 55 ] , [ 1, 28, 35, 36 ] , [ 1, 42, 42, 1 ] , [ 15, 4, 59, 20 ] , [ 15, 56, 7, 22 ] , [ 28, 18, 54, 28 ] , [ 29, 14, 49, 15 ] , [ 43, 0, 21, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] | |||
63D6 | 96 | 2 | 32 | 0 | 3 | [ 1, 0, 9, 1 ] , [ 1, 0, 21, 1 ] , [ 4, 42, 36, 16 ] , [ 8, 0, 0, 8 ] , [ 13, 42, 14, 55 ] , [ 25, 0, 22, 58 ] , [ 29, 21, 49, 29 ] , [ 34, 0, 0, 13 ] , [ 43, 0, 0, 22 ] , [ 43, 0, 21, 22 ] | |||
63E6 | 126 | 2 | 21 | 18 | 0 | [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 19, 36, 45, 19 ] , [ 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 ] | |||
63F6 | 126 | 2 | 63 | 18 | 0 | [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 17, 44, 2, 46 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 49, 29, 20, 62 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] | |||
63G6 | 126 | 2 | 63 | 18 | 0 | [ 1, 42, 21, 1 ] , [ 10, 36, 18, 46 ] , [ 17, 44, 2, 46 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 28, 18, 54, 28 ] , [ 36, 7, 14, 15 ] , [ 43, 0, 42, 22 ] , [ 46, 27, 45, 10 ] , [ 50, 0, 42, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] | |||
^ | Level 64 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/64Z) Matrix Generators |
64A6 | 96 | 1 | 24 | 0 | 0 | [ 1, 32, 32, 1 ] , [ 3, 4, 60, 59 ] , [ 13, 12, 52, 53 ] , [ 15, 30, 34, 51 ] , [ 25, 8, 24, 41 ] , [ 25, 16, 0, 41 ] , [ 25, 24, 40, 41 ] , [ 33, 32, 32, 33 ] , [ 37, 52, 44, 29 ] , [ 39, 38, 58, 27 ] , [ 41, 24, 8, 25 ] , [ 43, 38, 50, 7 ] , [ 44, 53, 27, 34 ] , [ 49, 16, 48, 17 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A6 | 66 | 2 | 11 | 0 | 0 | [ 1, 22, 22, 23 ] , [ 1, 44, 44, 23 ] , [ 11, 26, 8, 7 ] , [ 23, 0, 0, 23 ] , [ 23, 55, 55, 34 ] , [ 26, 7, 7, 7 ] , [ 34, 33, 33, 1 ] , [ 65, 0, 0, 65 ] | |||
66B6 | 72 | 1 | 12 | 0 | 0 | [ 1, 22, 22, 23 ] , [ 1, 33, 33, 34 ] , [ 23, 0, 0, 23 ] , [ 34, 33, 33, 1 ] , [ 43, 33, 33, 10 ] , [ 43, 44, 44, 65 ] , [ 45, 22, 44, 45 ] , [ 46, 3, 51, 55 ] , [ 56, 9, 27, 35 ] , [ 61, 48, 24, 7 ] | |||
66C6 | 72 | 1 | 24 | 0 | 0 | [ 1, 22, 22, 23 ] , [ 1, 33, 55, 34 ] , [ 13, 36, 18, 55 ] , [ 13, 42, 54, 7 ] , [ 23, 0, 0, 23 ] , [ 31, 24, 12, 37 ] , [ 45, 44, 22, 45 ] , [ 49, 36, 36, 13 ] | |||
66D6 | 72 | 1 | 36 | 0 | 0 | [ 1, 22, 55, 23 ] , [ 1, 33, 33, 34 ] , [ 23, 0, 0, 23 ] , [ 34, 33, 33, 1 ] , [ 43, 44, 11, 65 ] , [ 45, 22, 44, 45 ] , [ 46, 3, 51, 55 ] , [ 56, 9, 27, 35 ] , [ 56, 55, 55, 34 ] , [ 61, 48, 24, 7 ] | |||
66E6 | 88 | 2 | 44 | 0 | 4 | [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 10, 21, 39, 49 ] , [ 23, 0, 22, 23 ] , [ 34, 33, 33, 1 ] , [ 35, 24, 36, 53 ] , [ 43, 0, 0, 43 ] | |||
66F6 | 99 | 2 | 33 | 9 | 0 | [ 1, 22, 22, 23 ] , [ 1, 33, 0, 1 ] , [ 1, 44, 44, 23 ] , [ 11, 59, 8, 7 ] , [ 23, 0, 0, 23 ] , [ 23, 55, 22, 1 ] , [ 59, 7, 40, 7 ] , [ 65, 0, 0, 65 ] | |||
^ | Level 69 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/69Z) Matrix Generators |
69A6 | 72 | 1 | 24 | 0 | 0 | [ 24, 23, 46, 24 ] , [ 28, 60, 51, 28 ] , [ 45, 23, 46, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 23, 23, 1 ] , [ 67, 27, 15, 4 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A6 | 84 | 2 | 42 | 4 | 0 | [ 1, 35, 35, 36 ] , [ 11, 10, 0, 51 ] , [ 11, 50, 60, 31 ] , [ 15, 28, 28, 57 ] , [ 23, 57, 45, 2 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 35, 57 ] , [ 61, 30, 50, 51 ] | |||
^ | Level 71 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/71Z) Matrix Generators |
71A6 | Γ0(71) | 72 | 1 | 72 | 0 | 0 | [ 6, 17, 18, 63 ] , [ 50, 70, 61, 13 ] , [ 68, 42, 65, 60 ] , [ 70, 0, 0, 70 ] | ||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A6 | 96 | 2 | 16 | 0 | 6 | [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 10, 27, 27, 37 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 27, 19 ] , [ 43, 42, 9, 49 ] , [ 46, 63, 27, 1 ] , [ 49, 8, 48, 49 ] , [ 55, 54, 45, 1 ] , [ 65, 8, 48, 17 ] | |||
72B6 | 108 | 1 | 27 | 12 | 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, 2, 40, 33 ] , [ 33, 56, 4, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] | |||
72C6 | 108 | 1 | 54 | 10 | 0 | [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 42, 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 ] | |||
72D6 | 108 | 1 | 54 | 10 | 0 | [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 5, 42, 0, 29 ] , [ 17, 56, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 33, 56, 4, 33 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 51, 65, 22, 69 ] | |||
72E6 | 108 | 2 | 54 | 10 | 0 | [ 1, 18, 0, 1 ] , [ 1, 32, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 42, 0, 29 ] , [ 17, 56, 44, 1 ] , [ 19, 9, 54, 37 ] , [ 19, 36, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 0, 0, 37 ] , [ 41, 24, 0, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] | |||
^ | Level 75 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/75Z) Matrix Generators |
75A6 | 90 | 1 | 30 | 6 | 0 | [ 26, 0, 0, 26 ] , [ 26, 50, 50, 1 ] , [ 29, 5, 50, 19 ] , [ 43, 51, 51, 64 ] , [ 46, 45, 0, 31 ] , [ 51, 25, 50, 51 ] , [ 58, 8, 5, 2 ] , [ 61, 30, 30, 16 ] | |||
75B6 | 90 | 1 | 30 | 6 | 0 | [ 1, 50, 50, 26 ] , [ 7, 48, 33, 55 ] , [ 16, 66, 6, 67 ] , [ 19, 6, 63, 16 ] , [ 26, 0, 0, 26 ] , [ 31, 0, 30, 46 ] , [ 31, 15, 15, 46 ] , [ 51, 50, 25, 51 ] | |||
75C6 | 90 | 1 | 30 | 6 | 0 | [ 1, 25, 25, 26 ] , [ 1, 50, 50, 26 ] , [ 16, 45, 45, 61 ] , [ 19, 63, 21, 46 ] , [ 26, 0, 0, 26 ] , [ 31, 30, 0, 46 ] , [ 34, 45, 15, 64 ] , [ 34, 54, 69, 28 ] , [ 51, 50, 25, 51 ] | |||
75D6 | 90 | 1 | 30 | 6 | 0 | [ 4, 0, 30, 19 ] , [ 16, 0, 15, 61 ] , [ 16, 45, 45, 61 ] , [ 26, 0, 0, 26 ] , [ 26, 50, 50, 1 ] , [ 37, 30, 42, 28 ] , [ 49, 39, 9, 73 ] , [ 51, 50, 25, 51 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A6 | 80 | 1 | 80 | 0 | 2 | [ 1, 38, 19, 39 ] , [ 21, 48, 36, 57 ] , [ 29, 12, 64, 37 ] , [ 39, 0, 0, 39 ] , [ 58, 19, 19, 1 ] , [ 69, 48, 28, 25 ] , [ 75, 0, 0, 75 ] | |||
^ | Level 77 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/77Z) Matrix Generators |
77A6 | 88 | 2 | 88 | 0 | 4 | [ 1, 66, 22, 67 ] , [ 24, 48, 2, 65 ] , [ 34, 0, 0, 34 ] , [ 34, 55, 22, 56 ] , [ 36, 42, 49, 8 ] , [ 43, 0, 0, 43 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A6 | 84 | 1 | 42 | 4 | 0 | [ 7, 6, 36, 31 ] , [ 27, 52, 65, 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 ] | |||
78B6 | 84 | 2 | 28 | 0 | 3 | [ 1, 52, 52, 53 ] , [ 13, 42, 30, 67 ] , [ 16, 57, 65, 61 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 53, 0, 0, 53 ] , [ 55, 6, 72, 49 ] , [ 61, 60, 26, 55 ] | |||
^ | Level 79 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/79Z) Matrix Generators |
79A6 | Γ0(79) | 80 | 1 | 80 | 0 | 2 | [ 12, 42, 34, 73 ] , [ 13, 75, 11, 21 ] , [ 37, 63, 51, 10 ] , [ 78, 0, 0, 78 ] | ||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A6 | 96 | 2 | 16 | 0 | 6 | [ 1, 42, 42, 1 ] , [ 1, 63, 35, 22 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 37, 40, 4, 77 ] , [ 43, 42, 0, 43 ] , [ 49, 36, 76, 13 ] , [ 57, 56, 28, 57 ] , [ 69, 68, 82, 37 ] | |||
84B6 | 126 | 2 | 21 | 18 | 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 ] , [ 57, 28, 56, 57 ] , [ 61, 72, 60, 13 ] , [ 71, 14, 35, 1 ] | |||
^ | Level 86 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/86Z) Matrix Generators |
86A6 | 88 | 1 | 44 | 0 | 4 | [ 1, 43, 43, 44 ] , [ 11, 36, 30, 67 ] , [ 17, 12, 66, 77 ] , [ 39, 26, 4, 49 ] , [ 67, 74, 40, 75 ] | |||
^ | Level 87 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/87Z) Matrix Generators |
87A6 | 90 | 1 | 30 | 6 | 0 | [ 22, 0, 48, 4 ] , [ 22, 21, 45, 43 ] , [ 25, 30, 30, 43 ] , [ 55, 45, 57, 34 ] , [ 59, 0, 0, 59 ] , [ 59, 29, 29, 1 ] , [ 59, 58, 58, 1 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A6 | 90 | 2 | 45 | 8 | 0 | [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 37, 36, 0, 73 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 71, 20, 35, 1 ] , [ 73, 0, 18, 37 ] , [ 81, 50, 25, 51 ] | |||
90B6 | 108 | 1 | 54 | 12 | 0 | [ 1, 45, 45, 46 ] , [ 19, 36, 36, 73 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 41, 55, 10, 31 ] , [ 51, 35, 10, 51 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 89, 30, 60, 89 ] | |||
90C6 | 120 | 1 | 20 | 0 | 12 | [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 31, 40, 60, 31 ] , [ 37, 0, 18, 73 ] , [ 37, 54, 0, 73 ] , [ 55, 54, 36, 19 ] , [ 61, 30, 0, 31 ] , [ 86, 5, 75, 41 ] | |||
^ | Level 91 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/91Z) Matrix Generators |
91A6 | 98 | 2 | 98 | 6 | 2 | [ 26, 81, 4, 65 ] , [ 27, 0, 0, 27 ] , [ 39, 16, 30, 52 ] , [ 39, 62, 35, 65 ] , [ 50, 21, 28, 50 ] , [ 52, 62, 87, 39 ] , [ 71, 7, 70, 71 ] , [ 78, 28, 84, 15 ] , [ 85, 7, 70, 85 ] | |||
^ | Level 100 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/100Z) Matrix Generators |
100A6 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 19, 26, 83, 61 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 85, 72, 27, 17 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A6 | 105 | 2 | 35 | 9 | 3 | [ 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, 14, 8 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] | |||
105B6 | 105 | 2 | 35 | 9 | 3 | [ 1, 35, 35, 71 ] , [ 1, 60, 45, 76 ] , [ 15, 28, 98, 15 ] , [ 16, 30, 15, 61 ] , [ 22, 0, 0, 43 ] , [ 36, 70, 35, 36 ] , [ 43, 42, 91, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] | |||
105C6 | 126 | 2 | 42 | 18 | 0 | [ 1, 0, 84, 1 ] , [ 13, 10, 4, 92 ] , [ 16, 30, 15, 61 ] , [ 36, 35, 70, 36 ] , [ 46, 60, 0, 16 ] , [ 61, 90, 60, 61 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 76, 0, 0, 76 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ] | |||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A6 | 144 | 1 | 24 | 0 | 18 | [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 61, 18, 54, 85 ] , [ 73, 36, 84, 37 ] , [ 97, 102, 38, 1 ] , [ 103, 27, 57, 16 ] , [ 107, 0, 0, 107 ] | |||
^ | Level 121 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/121Z) Matrix Generators |
121A6 | Γ0(121) | 132 | 1 | 132 | 0 | 0 | [ 21, 13, 53, 102 ] , [ 56, 55, 44, 67 ] , [ 67, 13, 74, 83 ] , [ 89, 0, 55, 34 ] , [ 120, 0, 0, 120 ] | ||
^ | Level 125 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/125Z) Matrix Generators |
125A6 | 150 | 1 | 150 | 2 | 0 | [ 4, 26, 116, 98 ] , [ 11, 50, 65, 91 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ] | |||
125B6 | 150 | 1 | 150 | 2 | 0 | [ 11, 50, 65, 91 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ] , [ 90, 88, 8, 12 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A6 | 126 | 2 | 63 | 20 | 0 | [ 1, 63, 63, 64 ] , [ 43, 56, 56, 29 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 75, 1 ] , [ 69, 64, 89, 57 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] |