[Introduction] - Groups of Genus: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Groups of Level:
8
9
10
11
12
13
14
15
16
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
35
36
37
38
39
40
42
44
45
48
50
54
63
64
78
^ | Level 8 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/8Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
8A2 | 48 | 1 | 1 | 0 | 0 | [ 1, 4, 4, 1 ] , [ 3, 0, 4, 3 ] , [ 7, 4, 4, 7 ] | |||
8B2 | 48 | 1 | 12 | 0 | 0 | [ 1, 4, 4, 1 ] , [ 4, 1, 7, 0 ] , [ 7, 4, 4, 7 ] | |||
8C2 | 96 | 1 | 24 | 4 | 0 | [ 0, 1, 7, 0 ] , [ 7, 0, 0, 7 ] | |||
^ | Level 9 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/9Z) Matrix Generators |
9A2 | 36 | 1 | 3 | 0 | 0 | [ 1, 6, 3, 1 ] , [ 7, 0, 6, 4 ] , [ 8, 0, 0, 8 ] | |||
9B2 | 54 | 1 | 27 | 2 | 0 | [ 1, 8, 8, 2 ] , [ 5, 3, 3, 2 ] , [ 7, 3, 3, 4 ] | |||
^ | Level 10 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/10Z) Matrix Generators |
10A2 | 30 | 1 | 5 | 0 | 0 | [ 3, 4, 0, 7 ] , [ 6, 5, 5, 1 ] , [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] | |||
10B2 | 30 | 1 | 5 | 0 | 0 | [ 3, 0, 8, 7 ] , [ 7, 6, 0, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10C2 | 60 | 1 | 15 | 4 | 0 | [ 6, 5, 5, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] | |||
10D2 | 60 | 1 | 30 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10E2 | 60 | 1 | 30 | 4 | 0 | [ 7, 0, 9, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10F2 | 90 | 1 | 45 | 2 | 0 | [ 1, 0, 5, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] | |||
^ | Level 11 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/11Z) Matrix Generators |
11A2 | 66 | 1 | 66 | 6 | 0 | [ 1, 8, 7, 2 ] , [ 8, 5, 9, 3 ] , [ 10, 0, 0, 10 ] | |||
^ | Level 12 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/12Z) Matrix Generators |
12A2 | 24 | 1 | 4 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 4, 8, 9 ] , [ 9, 8, 4, 9 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ] | |||
12B2 | 36 | 1 | 3 | 0 | 0 | [ 1, 6, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 8, 8, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] , [ 7, 10, 10, 11 ] , [ 9, 8, 4, 9 ] | |||
12C2 | 36 | 1 | 9 | 0 | 0 | [ 1, 6, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 8, 2, 1 ] , [ 7, 6, 6, 7 ] , [ 10, 9, 3, 10 ] , [ 11, 0, 0, 11 ] , [ 11, 8, 2, 7 ] | |||
12D2 | 36 | 1 | 9 | 0 | 0 | [ 0, 5, 7, 6 ] , [ 1, 6, 6, 1 ] , [ 4, 1, 7, 2 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] | |||
12E2 | 36 | 1 | 9 | 0 | 0 | [ 1, 6, 6, 1 ] , [ 3, 4, 2, 3 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 5, 8, 2, 1 ] , [ 7, 6, 6, 7 ] , [ 9, 4, 2, 9 ] | |||
12F2 | 48 | 1 | 4 | 0 | 0 | [ 1, 6, 6, 1 ] , [ 3, 4, 8, 7 ] , [ 5, 4, 8, 9 ] , [ 7, 6, 0, 7 ] , [ 9, 8, 4, 5 ] | |||
12G2 | 48 | 1 | 24 | 0 | 0 | [ 1, 0, 8, 1 ] , [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 5, 0, 4, 5 ] , [ 7, 0, 0, 7 ] , [ 11, 0, 8, 11 ] | |||
12H2 | 72 | 1 | 18 | 8 | 0 | [ 5, 0, 0, 5 ] , [ 6, 11, 1, 6 ] , [ 7, 0, 0, 7 ] , [ 8, 5, 11, 4 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 7 ] | |||
12I2 | 72 | 1 | 18 | 8 | 0 | [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 8, 1, 7, 4 ] , [ 9, 8, 4, 9 ] | |||
^ | Level 13 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/13Z) Matrix Generators |
13A2 | Γ1(13) | 84 | 1 | 14 | 0 | 0 | [ 6, 11, 6, 9 ] , [ 11, 9, 12, 4 ] , [ 12, 0, 0, 12 ] | ||
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
14A2 | 42 | 2 | 21 | 2 | 0 | [ 1, 7, 0, 1 ] , [ 7, 10, 2, 13 ] , [ 7, 12, 4, 7 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] | |||
14B2 | 42 | 2 | 21 | 4 | 0 | [ 0, 5, 11, 0 ] , [ 1, 9, 4, 9 ] , [ 2, 13, 5, 5 ] , [ 8, 7, 7, 1 ] , [ 13, 7, 7, 6 ] | |||
14C2 | 42 | 2 | 21 | 4 | 0 | [ 7, 10, 2, 13 ] , [ 7, 12, 4, 7 ] , [ 9, 5, 10, 1 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] | |||
14D2 | 48 | 1 | 8 | 0 | 0 | [ 5, 6, 2, 11 ] , [ 8, 7, 7, 1 ] , [ 9, 8, 12, 3 ] , [ 11, 8, 12, 5 ] | |||
14E2 | 48 | 1 | 8 | 0 | 0 | [ 3, 0, 6, 5 ] , [ 3, 10, 8, 13 ] , [ 11, 8, 12, 5 ] , [ 13, 10, 2, 7 ] | |||
14F2 | 63 | 1 | 63 | 5 | 0 | [ 1, 0, 7, 1 ] , [ 1, 2, 11, 9 ] , [ 7, 12, 4, 7 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] | |||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A2 | 30 | 1 | 15 | 2 | 0 | [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 7, 0, 12, 13 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 12, 1 ] | |||
15B2 | 36 | 1 | 6 | 0 | 0 | [ 1, 10, 10, 11 ] , [ 6, 10, 5, 6 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 0, 11 ] , [ 14, 0, 0, 14 ] | |||
15C2 | 40 | 1 | 40 | 0 | 1 | [ 1, 0, 10, 1 ] , [ 4, 0, 10, 4 ] , [ 4, 3, 3, 10 ] , [ 7, 9, 5, 13 ] , [ 11, 0, 0, 11 ] | |||
15D2 | 60 | 1 | 30 | 8 | 0 | [ 2, 10, 4, 13 ] , [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 10, 12, 12, 4 ] , [ 11, 0, 0, 11 ] | |||
15E2 | 60 | 2 | 60 | 4 | 3 | [ 2, 10, 7, 13 ] , [ 4, 0, 0, 4 ] , [ 4, 9, 1, 10 ] , [ 6, 8, 1, 9 ] , [ 11, 0, 0, 11 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A2 | 24 | 1 | 3 | 0 | 0 | [ 0, 7, 9, 8 ] , [ 1, 8, 8, 1 ] , [ 1, 10, 10, 5 ] , [ 5, 4, 4, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 11, 6, 6, 15 ] , [ 15, 0, 0, 15 ] , [ 15, 12, 12, 15 ] | |||
16B2 | 24 | 1 | 12 | 0 | 0 | [ 0, 13, 11, 12 ] , [ 1, 8, 8, 1 ] , [ 5, 4, 4, 13 ] , [ 5, 10, 10, 1 ] , [ 7, 4, 12, 7 ] , [ 7, 6, 14, 3 ] , [ 9, 8, 8, 9 ] , [ 11, 14, 14, 15 ] , [ 15, 12, 4, 15 ] | |||
16C2 | 48 | 1 | 3 | 0 | 0 | [ 1, 4, 0, 1 ] , [ 1, 8, 0, 1 ] , [ 3, 12, 8, 11 ] , [ 5, 14, 0, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 6, 8, 9 ] , [ 9, 8, 0, 9 ] | |||
16D2 | 48 | 1 | 12 | 0 | 0 | [ 1, 8, 8, 1 ] , [ 4, 7, 9, 8 ] , [ 5, 0, 0, 13 ] , [ 8, 7, 9, 12 ] , [ 9, 8, 8, 9 ] , [ 15, 4, 12, 15 ] | |||
16E2 | 48 | 1 | 12 | 4 | 0 | [ 3, 8, 0, 11 ] , [ 7, 12, 4, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 12, 9, 7, 12 ] , [ 15, 0, 0, 15 ] | |||
16F2 | 48 | 2 | 12 | 4 | 0 | [ 1, 8, 8, 1 ] , [ 9, 8, 8, 9 ] , [ 11, 2, 10, 15 ] , [ 13, 4, 4, 5 ] , [ 13, 12, 12, 5 ] , [ 14, 11, 1, 2 ] , [ 15, 0, 0, 15 ] | |||
16G2 | 64 | 1 | 64 | 8 | 1 | [ 0, 1, 15, 0 ] , [ 0, 9, 7, 0 ] , [ 2, 11, 11, 13 ] , [ 8, 5, 3, 8 ] , [ 8, 13, 11, 8 ] , [ 9, 0, 0, 9 ] , [ 15, 0, 0, 15 ] | |||
16H2 | 64 | 2 | 32 | 4 | 4 | [ 0, 1, 15, 8 ] , [ 1, 8, 8, 1 ] , [ 7, 0, 8, 7 ] , [ 9, 0, 8, 9 ] , [ 9, 8, 0, 9 ] , [ 10, 3, 11, 5 ] , [ 15, 0, 0, 15 ] | |||
16I2 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 4, 1 ] , [ 1, 0, 8, 1 ] , [ 1, 4, 4, 1 ] , [ 1, 8, 8, 1 ] , [ 15, 8, 8, 15 ] | |||
16J2 | Γ1(16) | 96 | 1 | 24 | 0 | 0 | [ 1, 2, 14, 13 ] , [ 2, 9, 7, 0 ] , [ 5, 4, 12, 13 ] , [ 9, 8, 8, 9 ] , [ 11, 10, 6, 7 ] , [ 13, 14, 2, 1 ] | ||
16K2 | 96 | 1 | 24 | 0 | 0 | [ 1, 8, 0, 1 ] , [ 3, 10, 0, 11 ] , [ 9, 12, 0, 9 ] , [ 13, 2, 8, 5 ] , [ 13, 6, 0, 5 ] , [ 13, 10, 8, 5 ] | |||
16L2 | 96 | 1 | 24 | 4 | 0 | [ 0, 1, 15, 0 ] , [ 0, 15, 1, 0 ] , [ 5, 4, 12, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A2 | 18 | 1 | 9 | 0 | 0 | [ 1, 9, 9, 10 ] , [ 1, 16, 10, 17 ] , [ 5, 12, 12, 11 ] , [ 7, 0, 0, 13 ] , [ 9, 10, 8, 9 ] , [ 13, 6, 6, 7 ] | |||
18B2 | 24 | 1 | 4 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 10, 9, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 13, 6, 8, 1 ] , [ 17, 0, 0, 17 ] | |||
18C2 | 24 | 1 | 8 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 3, 3, 10 ] , [ 4, 3, 1, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18D2 | 36 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 12, 2, 7 ] , [ 10, 9, 9, 10 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18E2 | 36 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 13, 6, 8, 1 ] , [ 17, 0, 0, 17 ] | |||
18F2 | 36 | 1 | 18 | 0 | 0 | [ 1, 12, 0, 1 ] , [ 7, 15, 3, 4 ] , [ 11, 6, 6, 5 ] , [ 13, 0, 6, 7 ] , [ 17, 16, 4, 7 ] | |||
18G2 | 36 | 2 | 9 | 4 | 0 | [ 1, 9, 9, 10 ] , [ 1, 16, 1, 17 ] , [ 7, 3, 3, 4 ] , [ 7, 9, 9, 4 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ] | |||
18H2 | 36 | 2 | 18 | 4 | 0 | [ 1, 12, 6, 1 ] , [ 3, 4, 11, 3 ] , [ 7, 9, 15, 4 ] , [ 7, 12, 0, 13 ] , [ 17, 6, 12, 17 ] | |||
18I2 | 54 | 1 | 9 | 6 | 0 | [ 5, 0, 12, 11 ] , [ 7, 0, 12, 13 ] , [ 7, 12, 0, 13 ] , [ 11, 10, 4, 7 ] , [ 13, 0, 15, 7 ] | |||
18J2 | 54 | 1 | 27 | 0 | 6 | [ 1, 9, 9, 10 ] , [ 1, 12, 2, 7 ] , [ 1, 14, 14, 17 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18K2 | 54 | 2 | 27 | 8 | 0 | [ 0, 1, 17, 0 ] , [ 1, 16, 10, 17 ] , [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 9, 9, 1 ] | |||
18L2 | 54 | 2 | 27 | 8 | 0 | [ 5, 0, 12, 11 ] , [ 7, 0, 12, 13 ] , [ 7, 12, 0, 13 ] , [ 11, 8, 17, 1 ] , [ 15, 14, 16, 9 ] | |||
18M2 | 54 | 2 | 54 | 8 | 0 | [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 9, 10, 17, 9 ] , [ 11, 10, 1, 1 ] , [ 16, 9, 9, 13 ] | |||
18N2 | 72 | 1 | 12 | 0 | 6 | [ 1, 0, 6, 1 ] , [ 1, 12, 2, 7 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ] | |||
18O2 | 72 | 1 | 24 | 0 | 6 | [ 1, 0, 6, 1 ] , [ 16, 9, 15, 13 ] , [ 16, 15, 7, 1 ] , [ 17, 0, 0, 17 ] | |||
18P2 | 108 | 1 | 18 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 13, 0, 0, 7 ] , [ 13, 12, 6, 7 ] , [ 17, 0, 0, 17 ] | |||
18Q2 | Γ1(18) | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 9, 1 ] , [ 7, 0, 2, 13 ] , [ 17, 0, 0, 17 ] | ||
^ | Level 19 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/19Z) Matrix Generators |
19A2 | 57 | 2 | 57 | 5 | 3 | [ 11, 18, 16, 9 ] , [ 14, 3, 4, 5 ] , [ 18, 0, 0, 18 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A2 | 30 | 1 | 15 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 0, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 13, 0, 8, 17 ] , [ 17, 16, 0, 13 ] | |||
20B2 | 30 | 1 | 15 | 2 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 15, 1 ] , [ 13, 0, 8, 17 ] , [ 17, 16, 0, 13 ] | |||
20C2 | 36 | 1 | 18 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ] , [ 9, 18, 16, 1 ] , [ 11, 0, 10, 11 ] , [ 15, 2, 17, 17 ] | |||
20D2 | 40 | 1 | 20 | 0 | 4 | [ 6, 15, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 8, 17 ] , [ 17, 16, 0, 13 ] | |||
20E2 | 40 | 1 | 40 | 4 | 1 | [ 1, 10, 5, 11 ] , [ 1, 15, 15, 6 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 14, 5, 3 ] , [ 19, 0, 0, 19 ] | |||
20F2 | 60 | 1 | 30 | 4 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 17, 10, 4, 13 ] , [ 17, 10, 9, 3 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A2 | 24 | 1 | 8 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 14, 14, 8 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 0, 0, 4 ] , [ 20, 0, 6, 20 ] | |||
21B2 | 28 | 2 | 28 | 0 | 1 | [ 1, 18, 3, 13 ] , [ 7, 3, 9, 7 ] , [ 7, 15, 6, 13 ] , [ 8, 0, 0, 8 ] , [ 10, 15, 18, 4 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 8 ] , [ 20, 17, 4, 15 ] | |||
21C2 | 42 | 2 | 7 | 6 | 0 | [ 4, 6, 3, 10 ] , [ 4, 18, 0, 16 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] | |||
21D2 | 42 | 2 | 21 | 6 | 0 | [ 4, 6, 3, 10 ] , [ 4, 18, 0, 16 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 12, 6, 19 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A2 | 24 | 1 | 12 | 0 | 0 | [ 12, 11, 11, 1 ] , [ 15, 14, 2, 21 ] , [ 19, 1, 17, 16 ] , [ 19, 12, 6, 5 ] , [ 21, 0, 0, 21 ] | |||
22B2 | 33 | 2 | 33 | 3 | 0 | [ 1, 0, 11, 1 ] , [ 11, 2, 16, 21 ] , [ 11, 8, 4, 11 ] , [ 21, 0, 0, 21 ] | |||
22C2 | Γ0(22) | 36 | 1 | 36 | 0 | 0 | [ 1, 0, 11, 1 ] , [ 15, 14, 2, 21 ] , [ 19, 12, 6, 5 ] , [ 21, 0, 0, 21 ] | ||
^ | Level 23 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/23Z) Matrix Generators |
23A2 | Γ0(23) | 24 | 1 | 24 | 0 | 0 | [ 12, 14, 4, 22 ] , [ 21, 1, 14, 4 ] , [ 22, 0, 0, 22 ] | ||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A2 | 32 | 2 | 16 | 0 | 2 | [ 1, 6, 15, 19 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 21, 1 ] , [ 13, 0, 12, 13 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 17, 16, 0, 17 ] , [ 19, 22, 21, 13 ] | |||
24B2 | 36 | 1 | 6 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 12, 3, 13 ] , [ 7, 0, 18, 7 ] , [ 9, 16, 20, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 8, 20, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 12, 3, 7 ] , [ 21, 8, 22, 21 ] | |||
24C2 | 36 | 1 | 9 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 1, 16, 10, 17 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 6, 13 ] , [ 13, 12, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 3, 13 ] | |||
24D2 | 36 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 15, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 10, 17 ] , [ 3, 4, 23, 15 ] , [ 7, 0, 18, 7 ] , [ 7, 20, 11, 11 ] , [ 13, 0, 9, 13 ] , [ 13, 0, 12, 13 ] , [ 13, 20, 8, 5 ] , [ 17, 0, 0, 17 ] | |||
24E2 | 48 | 1 | 8 | 0 | 6 | [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 9, 16, 8, 9 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 22, 15, 19, 1 ] | |||
24F2 | 48 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 8, 0, 1 ] , [ 1, 12, 3, 13 ] , [ 7, 12, 6, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 9, 17 ] , [ 23, 0, 0, 23 ] | |||
24G2 | 48 | 1 | 12 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 3, 20, 4, 3 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 16, 17, 23, 8 ] , [ 17, 12, 12, 17 ] , [ 21, 8, 16, 21 ] | |||
24H2 | 48 | 1 | 12 | 8 | 0 | [ 0, 17, 7, 12 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 17, 12, 12, 17 ] | |||
24I2 | 48 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 16, 0, 1 ] , [ 7, 0, 12, 7 ] , [ 7, 16, 12, 7 ] , [ 11, 8, 0, 11 ] , [ 13, 0, 0, 13 ] , [ 13, 22, 15, 7 ] , [ 19, 0, 12, 19 ] , [ 19, 8, 6, 19 ] | |||
24J2 | 48 | 1 | 24 | 0 | 6 | [ 1, 12, 12, 1 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 12, 7 ] , [ 11, 20, 2, 19 ] , [ 13, 0, 12, 13 ] , [ 13, 14, 14, 17 ] , [ 13, 15, 7, 10 ] , [ 17, 10, 10, 13 ] | |||
24K2 | 48 | 2 | 12 | 8 | 0 | [ 0, 17, 7, 12 ] , [ 1, 12, 12, 1 ] , [ 4, 13, 19, 20 ] , [ 5, 16, 4, 13 ] , [ 7, 0, 0, 7 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 17, 12, 12, 17 ] | |||
24L2 | 72 | 1 | 6 | 12 | 0 | [ 1, 12, 12, 1 ] , [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 20, 4, 15 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] , [ 19, 20, 20, 11 ] , [ 23, 0, 0, 23 ] | |||
24M2 | 72 | 1 | 12 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 7, 12, 6, 7 ] , [ 7, 12, 18, 7 ] , [ 7, 18, 3, 1 ] , [ 15, 16, 8, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] | |||
24N2 | 72 | 1 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 7, 2, 17, 5 ] , [ 7, 2, 23, 17 ] , [ 11, 14, 23, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24O2 | 72 | 1 | 18 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 9, 8, 16, 9 ] , [ 9, 8, 22, 9 ] , [ 11, 14, 23, 1 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24P2 | 72 | 1 | 18 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 12, 7 ] , [ 9, 8, 4, 9 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 6, 9, 13 ] , [ 19, 20, 2, 11 ] , [ 23, 0, 0, 23 ] | |||
24Q2 | 72 | 1 | 36 | 12 | 0 | [ 1, 0, 12, 1 ] , [ 3, 4, 2, 3 ] , [ 7, 0, 0, 7 ] , [ 7, 8, 8, 23 ] , [ 7, 12, 6, 7 ] , [ 7, 12, 18, 7 ] , [ 7, 18, 3, 1 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 14, 21 ] | |||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A2 | 30 | 1 | 30 | 2 | 0 | [ 6, 10, 20, 21 ] , [ 9, 11, 18, 11 ] , [ 10, 2, 22, 12 ] , [ 11, 0, 10, 16 ] , [ 24, 0, 0, 24 ] | |||
25B2 | 30 | 1 | 30 | 2 | 0 | [ 6, 10, 20, 21 ] , [ 7, 13, 18, 5 ] , [ 9, 11, 18, 11 ] , [ 11, 0, 10, 16 ] , [ 24, 0, 0, 24 ] | |||
25C2 | 30 | 1 | 30 | 2 | 0 | [ 6, 10, 20, 21 ] , [ 9, 11, 18, 11 ] , [ 11, 0, 10, 16 ] , [ 12, 8, 23, 5 ] , [ 24, 0, 0, 24 ] | |||
25D2 | 30 | 1 | 30 | 2 | 0 | [ 4, 19, 9, 18 ] , [ 6, 10, 20, 21 ] , [ 9, 11, 18, 11 ] , [ 11, 0, 10, 16 ] , [ 24, 0, 0, 24 ] | |||
25E2 | 50 | 1 | 50 | 2 | 5 | [ 2, 4, 15, 18 ] , [ 9, 18, 13, 15 ] , [ 14, 5, 0, 9 ] , [ 16, 15, 15, 11 ] , [ 21, 0, 15, 6 ] | |||
25F2 | 75 | 1 | 75 | 7 | 0 | [ 1, 0, 10, 1 ] , [ 6, 15, 5, 21 ] , [ 13, 14, 15, 22 ] , [ 19, 10, 0, 4 ] , [ 22, 20, 17, 3 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A2 | Γ0(26) | 42 | 1 | 42 | 2 | 0 | [ 1, 0, 13, 1 ] , [ 5, 20, 16, 7 ] , [ 11, 14, 16, 11 ] , [ 13, 16, 4, 15 ] , [ 17, 0, 24, 23 ] | ||
26B2 | 84 | 1 | 14 | 12 | 0 | [ 1, 13, 13, 14 ] , [ 17, 3, 16, 9 ] , [ 19, 24, 6, 9 ] , [ 25, 0, 0, 25 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A2 | 36 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 10, 0, 24, 19 ] , [ 13, 9, 1, 7 ] , [ 22, 0, 0, 16 ] , [ 26, 0, 0, 26 ] | |||
27B2 | 36 | 1 | 12 | 0 | 3 | [ 1, 0, 18, 1 ] , [ 1, 18, 6, 1 ] , [ 10, 0, 9, 19 ] , [ 13, 12, 8, 22 ] , [ 19, 0, 0, 10 ] , [ 19, 3, 17, 7 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A2 | 32 | 1 | 32 | 0 | 2 | [ 1, 7, 7, 22 ] , [ 13, 12, 12, 9 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 0, 15 ] , [ 15, 14, 7, 1 ] , [ 25, 8, 12, 5 ] | |||
28B2 | 42 | 2 | 21 | 4 | 0 | [ 1, 7, 0, 1 ] , [ 1, 14, 0, 1 ] , [ 9, 12, 10, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ] | |||
28C2 | 42 | 2 | 21 | 6 | 0 | [ 1, 7, 14, 15 ] , [ 1, 14, 0, 1 ] , [ 9, 12, 24, 1 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ] | |||
28D2 | Γ0(28) | 48 | 1 | 24 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 0, 21, 1 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 14, 15 ] , [ 17, 0, 20, 5 ] , [ 17, 24, 8, 13 ] , [ 25, 8, 12, 5 ] | ||
28E2 | 56 | 2 | 28 | 8 | 2 | [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 21, 24, 16, 13 ] , [ 22, 21, 21, 1 ] , [ 23, 19, 10, 1 ] | |||
28F2 | 96 | 1 | 16 | 0 | 12 | [ 1, 14, 14, 1 ] , [ 9, 12, 4, 21 ] , [ 13, 4, 20, 17 ] , [ 13, 14, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 27, 27, 1, 0 ] | |||
^ | Level 29 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/29Z) Matrix Generators |
29A2 | Γ0(29) | 30 | 1 | 30 | 2 | 0 | [ 2, 13, 13, 27 ] , [ 2, 19, 3, 0 ] , [ 3, 20, 20, 8 ] , [ 28, 0, 0, 28 ] | ||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A2 | 30 | 1 | 15 | 4 | 0 | [ 1, 15, 15, 16 ] , [ 7, 21, 15, 28 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 25, 1 ] , [ 13, 6, 12, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 5, 21 ] , [ 22, 15, 27, 13 ] | |||
30B2 | 30 | 2 | 10 | 0 | 3 | [ 1, 10, 10, 11 ] , [ 1, 20, 20, 11 ] , [ 1, 24, 28, 13 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ] , [ 28, 21, 27, 1 ] | |||
30C2 | 36 | 1 | 18 | 4 | 0 | [ 1, 25, 10, 11 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 21, 10, 20, 21 ] , [ 27, 25, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30D2 | 40 | 1 | 20 | 0 | 4 | [ 1, 15, 15, 16 ] , [ 13, 0, 6, 7 ] , [ 15, 8, 28, 29 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 21, 10, 20, 1 ] , [ 21, 20, 10, 11 ] | |||
30E2 | 54 | 1 | 18 | 6 | 0 | [ 1, 10, 10, 11 ] , [ 1, 15, 0, 1 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 21, 10, 20, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30F2 | 60 | 1 | 10 | 12 | 0 | [ 1, 15, 15, 16 ] , [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 25, 12, 12, 19 ] | |||
^ | Level 31 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/31Z) Matrix Generators |
31A2 | Γ0(31) | 32 | 1 | 32 | 0 | 2 | [ 6, 25, 3, 23 ] , [ 14, 9, 3, 2 ] , [ 17, 3, 1, 13 ] , [ 30, 0, 0, 30 ] | ||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A2 | 48 | 1 | 6 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 1, 28, 28, 17 ] , [ 5, 20, 12, 29 ] , [ 9, 8, 24, 25 ] , [ 9, 24, 8, 25 ] , [ 11, 26, 6, 23 ] , [ 13, 4, 12, 21 ] , [ 17, 10, 6, 13 ] , [ 17, 16, 16, 17 ] , [ 18, 21, 3, 0 ] , [ 19, 26, 22, 15 ] , [ 23, 10, 30, 27 ] | |||
32B2 | 96 | 1 | 12 | 0 | 0 | [ 1, 16, 0, 1 ] , [ 1, 24, 0, 1 ] , [ 9, 8, 16, 25 ] , [ 17, 12, 0, 17 ] , [ 17, 16, 0, 17 ] , [ 17, 20, 0, 17 ] , [ 21, 0, 24, 29 ] , [ 21, 6, 24, 13 ] , [ 23, 10, 16, 7 ] , [ 25, 8, 16, 9 ] , [ 29, 28, 8, 21 ] | |||
32C2 | 96 | 1 | 24 | 0 | 0 | [ 1, 18, 14, 29 ] , [ 1, 26, 6, 29 ] , [ 5, 14, 18, 25 ] , [ 5, 28, 4, 29 ] , [ 9, 8, 24, 25 ] , [ 11, 26, 6, 23 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 21, 20, 12, 13 ] , [ 28, 13, 19, 2 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A2 | 35 | 2 | 35 | 3 | 2 | [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 15, 21, 14, 15 ] , [ 20, 3, 18, 15 ] , [ 21, 10, 30, 21 ] , [ 21, 15, 20, 6 ] , [ 27, 28, 14, 34 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 25, 11 ] | |||
35B2 | 40 | 1 | 40 | 0 | 4 | [ 1, 0, 25, 1 ] , [ 6, 0, 0, 6 ] , [ 6, 21, 34, 20 ] , [ 16, 0, 0, 11 ] , [ 22, 0, 34, 8 ] , [ 27, 28, 20, 13 ] , [ 29, 0, 0, 29 ] | |||
35C2 | 42 | 2 | 42 | 6 | 0 | [ 1, 0, 7, 1 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 13, 10, 4, 22 ] , [ 21, 10, 30, 21 ] , [ 21, 15, 20, 6 ] , [ 29, 0, 0, 29 ] , [ 31, 15, 25, 11 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A2 | 48 | 1 | 8 | 0 | 6 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 10, 3, 35, 25 ] , [ 13, 0, 12, 25 ] , [ 13, 12, 16, 1 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ] | |||
36B2 | 54 | 1 | 27 | 10 | 0 | [ 1, 0, 18, 1 ] , [ 15, 32, 34, 27 ] , [ 19, 0, 18, 19 ] , [ 19, 28, 10, 11 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 33, 10, 17, 15 ] | |||
36C2 | 54 | 2 | 27 | 8 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 15, 25 ] , [ 15, 28, 35, 15 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36D2 | 72 | 2 | 36 | 16 | 0 | [ 1, 24, 12, 1 ] , [ 9, 20, 4, 9 ] , [ 10, 27, 27, 1 ] , [ 13, 0, 24, 25 ] , [ 19, 0, 0, 19 ] , [ 20, 1, 31, 16 ] , [ 29, 12, 12, 5 ] | |||
^ | Level 37 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/37Z) Matrix Generators |
37A2 | Γ0(37) | 38 | 1 | 38 | 2 | 2 | [ 2, 18, 18, 33 ] , [ 17, 1, 2, 35 ] , [ 17, 4, 8, 15 ] , [ 19, 2, 4, 18 ] , [ 36, 0, 0, 36 ] | ||
^ | Level 38 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/38Z) Matrix Generators |
38A2 | 40 | 1 | 20 | 0 | 4 | [ 20, 19, 19, 1 ] , [ 21, 10, 36, 19 ] , [ 29, 12, 26, 37 ] , [ 31, 10, 28, 25 ] , [ 37, 0, 0, 37 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A2 | 42 | 1 | 14 | 6 | 0 | [ 1, 26, 26, 14 ] , [ 4, 0, 24, 10 ] , [ 13, 3, 30, 28 ] , [ 14, 0, 0, 14 ] , [ 14, 26, 26, 1 ] , [ 27, 26, 13, 27 ] , [ 31, 33, 3, 7 ] , [ 37, 27, 3, 37 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A2 | 40 | 2 | 20 | 2 | 4 | [ 6, 15, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 16, 15, 25, 16 ] , [ 17, 8, 16, 17 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 0, 8, 17 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A2 | 42 | 2 | 21 | 8 | 0 | [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 22, 21, 21, 1 ] , [ 27, 26, 10, 33 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 37, 6, 12, 19 ] | |||
42B2 | 48 | 1 | 16 | 0 | 6 | [ 8, 21, 7, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 6, 36, 7 ] , [ 15, 14, 28, 15 ] , [ 25, 8, 26, 5 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 31, 24, 36, 13 ] | |||
42C2 | 48 | 2 | 8 | 0 | 6 | [ 1, 21, 21, 22 ] , [ 7, 18, 40, 13 ] , [ 13, 18, 6, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 39, 22, 26, 33 ] , [ 41, 28, 28, 13 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A2 | 44 | 2 | 44 | 6 | 2 | [ 21, 0, 0, 21 ] , [ 22, 13, 5, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 33, 8, 4, 33 ] , [ 34, 11, 11, 1 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A2 | 54 | 1 | 54 | 10 | 0 | [ 1, 15, 30, 1 ] , [ 10, 18, 18, 37 ] , [ 11, 15, 15, 41 ] , [ 16, 0, 15, 31 ] , [ 16, 15, 0, 31 ] , [ 21, 25, 5, 36 ] , [ 24, 2, 4, 36 ] , [ 31, 0, 30, 16 ] , [ 31, 10, 10, 41 ] , [ 31, 15, 15, 16 ] , [ 44, 30, 15, 44 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A2 | 72 | 1 | 9 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 11, 14, 41, 13 ] , [ 13, 20, 38, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 23, 0, 24, 23 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 46, 17 ] , [ 25, 20, 2, 17 ] , [ 41, 24, 36, 41 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A2 | 60 | 1 | 30 | 4 | 0 | [ 7, 48, 18, 45 ] , [ 19, 0, 20, 29 ] , [ 26, 25, 25, 1 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 0, 40, 11 ] , [ 43, 40, 23, 47 ] | |||
50B2 | Γ0(50) | 90 | 1 | 90 | 2 | 0 | [ 1, 0, 25, 1 ] , [ 7, 48, 18, 45 ] , [ 19, 0, 20, 29 ] , [ 31, 0, 30, 21 ] , [ 31, 40, 40, 21 ] , [ 41, 0, 40, 11 ] , [ 43, 40, 48, 47 ] | ||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A2 | 72 | 1 | 12 | 0 | 12 | [ 1, 0, 18, 1 ] , [ 1, 27, 27, 28 ] , [ 19, 0, 18, 37 ] , [ 19, 18, 42, 37 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 42, 52, 43 ] , [ 53, 0, 0, 53 ] | |||
54B2 | 108 | 1 | 36 | 0 | 0 | [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 7, 18, 42, 31 ] , [ 7, 18, 46, 49 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 36, 19 ] , [ 37, 0, 48, 19 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A2 | 63 | 2 | 63 | 15 | 0 | [ 8, 35, 56, 1 ] , [ 22, 0, 21, 43 ] , [ 22, 42, 42, 43 ] , [ 28, 18, 54, 28 ] , [ 29, 7, 7, 43 ] , [ 29, 42, 42, 50 ] , [ 37, 54, 27, 19 ] , [ 46, 18, 0, 37 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] | |||
^ | Level 64 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/64Z) Matrix Generators |
64A2 | 96 | 1 | 24 | 0 | 0 | [ 1, 32, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 9, 48, 0, 57 ] , [ 9, 56, 40, 57 ] , [ 13, 60, 36, 53 ] , [ 17, 48, 16, 49 ] , [ 21, 2, 22, 57 ] , [ 25, 56, 8, 41 ] , [ 29, 44, 52, 37 ] , [ 33, 32, 32, 33 ] , [ 39, 62, 18, 27 ] , [ 42, 29, 59, 24 ] , [ 55, 16, 0, 7 ] , [ 55, 46, 34, 11 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A2 | 84 | 2 | 14 | 12 | 6 | [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 7, 6, 10, 31 ] , [ 13, 42, 30, 67 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 52, 27 ] , [ 53, 0, 0, 53 ] , [ 55, 6, 33, 49 ] |