[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:
6
7
8
9
10
11
12
14
15
16
17
18
19
20
21
22
24
26
27
28
30
32
33
36
39
40
42
49
52
^ | Level 6 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/6Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
6A1 | Γ' | 6 | 1 | 1 | 0 | 0 | [ 1, 3, 3, 4 ] , [ 3, 2, 4, 3 ] , [ 4, 3, 3, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] | ||
6B1 | 12 | 1 | 3 | 0 | 0 | [ 1, 5, 5, 2 ] , [ 4, 3, 3, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] | |||
6C1 | 18 | 1 | 1 | 0 | 0 | [ 1, 4, 4, 5 ] , [ 3, 4, 2, 3 ] , [ 5, 0, 0, 5 ] | |||
6D1 | 24 | 1 | 1 | 0 | 0 | [ 4, 3, 3, 1 ] , [ 5, 0, 0, 5 ] | |||
6E1 | 36 | 1 | 3 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] | |||
6F1 | Γ(6) | 72 | 1 | 1 | 0 | 0 | [ 5, 0, 0, 5 ] | ||
^ | Level 7 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/7Z) Matrix Generators |
7A1 | 42 | 1 | 21 | 2 | 0 | [ 2, 5, 6, 5 ] , [ 6, 0, 0, 6 ] , [ 6, 3, 5, 5 ] | |||
7B1 | 56 | 1 | 28 | 0 | 2 | [ 4, 0, 2, 2 ] , [ 6, 0, 0, 6 ] | |||
7C1 | 84 | 1 | 21 | 4 | 0 | [ 0, 3, 2, 0 ] , [ 6, 0, 0, 6 ] | |||
^ | Level 8 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/8Z) Matrix Generators |
8A1 | 12 | 1 | 3 | 0 | 0 | [ 3, 6, 6, 7 ] , [ 4, 5, 3, 0 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 5 ] , [ 7, 4, 4, 7 ] , [ 7, 6, 6, 3 ] | |||
8B1 | 24 | 1 | 3 | 0 | 0 | [ 1, 4, 0, 1 ] , [ 1, 6, 4, 1 ] , [ 3, 2, 4, 3 ] , [ 5, 4, 0, 5 ] , [ 5, 6, 4, 5 ] | |||
8C1 | 24 | 1 | 6 | 0 | 0 | [ 1, 4, 4, 1 ] , [ 4, 1, 7, 0 ] , [ 5, 0, 0, 5 ] , [ 7, 4, 4, 7 ] | |||
8D1 | 24 | 1 | 12 | 2 | 0 | [ 1, 4, 4, 1 ] , [ 4, 1, 7, 0 ] , [ 5, 0, 4, 5 ] , [ 7, 4, 4, 7 ] | |||
8E1 | 32 | 1 | 16 | 0 | 2 | [ 2, 3, 3, 5 ] , [ 3, 0, 0, 3 ] , [ 7, 0, 0, 7 ] | |||
8F1 | 48 | 1 | 3 | 0 | 0 | [ 3, 0, 0, 3 ] , [ 7, 0, 0, 7 ] , [ 7, 4, 4, 7 ] | |||
8G1 | 48 | 1 | 6 | 0 | 0 | [ 1, 4, 0, 1 ] , [ 3, 2, 4, 3 ] , [ 7, 4, 0, 7 ] | |||
8H1 | 48 | 1 | 12 | 4 | 0 | [ 0, 3, 5, 0 ] , [ 1, 4, 4, 1 ] , [ 7, 4, 4, 7 ] | |||
8I1 | 48 | 1 | 12 | 4 | 0 | [ 0, 1, 7, 0 ] , [ 0, 5, 3, 0 ] , [ 7, 0, 0, 7 ] | |||
8J1 | 64 | 1 | 16 | 0 | 4 | [ 2, 3, 3, 5 ] , [ 7, 0, 0, 7 ] | |||
8K1 | 96 | 1 | 3 | 0 | 0 | [ 5, 4, 4, 5 ] , [ 7, 0, 0, 7 ] | |||
^ | Level 9 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/9Z) Matrix Generators |
9A1 | 12 | 1 | 4 | 0 | 0 | [ 4, 0, 6, 7 ] , [ 4, 6, 5, 1 ] , [ 7, 0, 6, 4 ] , [ 8, 0, 0, 8 ] | |||
9B1 | 18 | 2 | 9 | 2 | 0 | [ 1, 7, 1, 8 ] , [ 4, 6, 6, 7 ] , [ 5, 3, 3, 2 ] , [ 7, 0, 0, 4 ] | |||
9C1 | 36 | 1 | 4 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 4, 0, 3, 7 ] , [ 8, 0, 0, 8 ] | |||
9D1 | 36 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 7, 6, 5, 7 ] , [ 8, 0, 0, 8 ] | |||
9E1 | 54 | 1 | 18 | 6 | 0 | [ 0, 1, 8, 0 ] , [ 7, 0, 0, 4 ] , [ 8, 0, 0, 8 ] | |||
9F1 | 54 | 2 | 9 | 6 | 0 | [ 0, 1, 8, 0 ] , [ 5, 3, 3, 2 ] , [ 7, 3, 3, 4 ] | |||
9G1 | 81 | 1 | 27 | 9 | 0 | [ 1, 5, 5, 8 ] , [ 4, 1, 1, 5 ] , [ 5, 8, 8, 4 ] , [ 8, 0, 0, 8 ] | |||
9H1 | 108 | 1 | 4 | 0 | 0 | [ 1, 0, 3, 1 ] , [ 8, 0, 0, 8 ] | |||
^ | Level 10 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/10Z) Matrix Generators |
10A1 | 12 | 1 | 6 | 0 | 0 | [ 6, 5, 5, 1 ] , [ 7, 8, 8, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 6, 8, 1 ] | |||
10B1 | 15 | 1 | 15 | 1 | 0 | [ 1, 0, 5, 1 ] , [ 1, 4, 8, 3 ] , [ 1, 8, 6, 9 ] , [ 3, 0, 8, 7 ] , [ 9, 0, 0, 9 ] | |||
10C1 | 20 | 1 | 10 | 0 | 2 | [ 1, 5, 5, 6 ] , [ 7, 4, 0, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10D1 | 24 | 1 | 6 | 0 | 0 | [ 3, 6, 6, 9 ] , [ 6, 5, 5, 1 ] , [ 9, 0, 0, 9 ] | |||
10E1 | 30 | 1 | 15 | 4 | 0 | [ 3, 4, 5, 7 ] , [ 6, 5, 5, 1 ] , [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] | |||
10F1 | 30 | 1 | 30 | 2 | 0 | [ 1, 0, 5, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10G1 | 36 | 1 | 6 | 0 | 0 | [ 5, 2, 2, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 6, 1 ] | |||
10H1 | 40 | 1 | 10 | 0 | 4 | [ 6, 5, 5, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] | |||
10I1 | 45 | 1 | 15 | 3 | 0 | [ 1, 0, 5, 1 ] , [ 3, 4, 5, 7 ] , [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] | |||
10J1 | 60 | 1 | 60 | 4 | 3 | [ 5, 4, 1, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 3, 3, 0 ] | |||
10K1 | 72 | 1 | 6 | 0 | 0 | [ 3, 6, 6, 9 ] , [ 5, 2, 2, 7 ] , [ 9, 0, 0, 9 ] | |||
^ | Level 11 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/11Z) Matrix Generators |
11A1 | Γ0(11) | 12 | 1 | 12 | 0 | 0 | [ 7, 0, 7, 8 ] , [ 8, 1, 6, 5 ] , [ 10, 0, 0, 10 ] | ||
11B1 | 55 | 1 | 55 | 3 | 4 | [ 3, 1, 1, 8 ] , [ 3, 5, 3, 9 ] , [ 6, 7, 1, 5 ] , [ 10, 0, 0, 10 ] | |||
11C1 | 55 | 1 | 55 | 7 | 1 | [ 0, 10, 1, 0 ] , [ 1, 8, 8, 10 ] , [ 3, 9, 9, 9 ] , [ 10, 0, 0, 10 ] | |||
11D1 | Γ1(11) | 60 | 1 | 12 | 0 | 0 | [ 4, 2, 1, 9 ] , [ 10, 0, 0, 10 ] | ||
^ | Level 12 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/12Z) Matrix Generators |
12A1 | 16 | 1 | 16 | 0 | 1 | [ 1, 0, 8, 1 ] , [ 1, 9, 9, 10 ] , [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 5, 0, 4, 5 ] , [ 7, 0, 0, 7 ] | |||
12B1 | 18 | 1 | 3 | 0 | 0 | [ 1, 4, 4, 5 ] , [ 1, 6, 6, 1 ] , [ 4, 3, 9, 10 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] , [ 9, 4, 8, 9 ] , [ 10, 3, 9, 4 ] | |||
12C1 | 18 | 1 | 9 | 2 | 0 | [ 0, 7, 5, 6 ] , [ 1, 6, 6, 1 ] , [ 4, 3, 9, 4 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] , [ 9, 4, 2, 9 ] | |||
12D1 | 24 | 1 | 6 | 4 | 0 | [ 1, 6, 6, 1 ] , [ 1, 8, 11, 5 ] , [ 5, 0, 6, 5 ] , [ 7, 2, 5, 5 ] , [ 7, 3, 9, 4 ] , [ 7, 6, 0, 7 ] , [ 11, 0, 0, 11 ] | |||
12E1 | 24 | 1 | 8 | 0 | 3 | [ 1, 8, 8, 5 ] , [ 1, 9, 5, 10 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 4, 9 ] , [ 10, 11, 3, 1 ] , [ 11, 0, 0, 11 ] | |||
12F1 | 24 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 3, 2, 1, 5 ] , [ 7, 0, 6, 7 ] , [ 9, 4, 8, 1 ] , [ 9, 8, 4, 5 ] , [ 11, 4, 8, 3 ] , [ 11, 10, 5, 9 ] | |||
12G1 | 24 | 1 | 12 | 4 | 0 | [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 9, 4, 8, 9 ] , [ 9, 8, 4, 9 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ] | |||
12H1 | 24 | 1 | 24 | 0 | 3 | [ 1, 2, 2, 5 ] , [ 3, 8, 10, 3 ] , [ 5, 0, 0, 5 ] , [ 5, 3, 1, 8 ] , [ 7, 2, 2, 11 ] , [ 8, 5, 7, 3 ] , [ 9, 4, 2, 9 ] | |||
12I1 | 32 | 1 | 16 | 0 | 2 | [ 1, 0, 8, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 0, 4, 5 ] , [ 7, 0, 0, 7 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 8, 11 ] | |||
12J1 | 36 | 1 | 6 | 6 | 0 | [ 4, 9, 3, 4 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 4, 8, 9 ] , [ 9, 8, 4, 9 ] , [ 11, 0, 0, 11 ] | |||
12K1 | 36 | 1 | 9 | 0 | 0 | [ 4, 1, 7, 2 ] , [ 4, 3, 9, 10 ] , [ 4, 9, 3, 10 ] , [ 5, 0, 0, 5 ] , [ 5, 8, 8, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] | |||
12L1 | 36 | 1 | 9 | 4 | 0 | [ 1, 6, 6, 1 ] , [ 5, 0, 0, 5 ] , [ 5, 4, 4, 1 ] , [ 7, 6, 6, 7 ] , [ 7, 8, 8, 11 ] , [ 10, 9, 3, 10 ] , [ 11, 0, 0, 11 ] | |||
12M1 | 36 | 1 | 18 | 6 | 0 | [ 5, 0, 0, 5 ] , [ 5, 2, 2, 1 ] , [ 7, 0, 0, 7 ] , [ 8, 5, 11, 4 ] , [ 9, 8, 4, 9 ] | |||
12N1 | 36 | 2 | 9 | 4 | 0 | [ 0, 7, 5, 6 ] , [ 1, 6, 6, 1 ] , [ 2, 1, 7, 10 ] , [ 5, 0, 0, 5 ] , [ 5, 8, 2, 1 ] , [ 7, 6, 6, 7 ] , [ 11, 0, 0, 11 ] | |||
12O1 | 48 | 1 | 8 | 0 | 6 | [ 1, 6, 6, 1 ] , [ 2, 1, 5, 9 ] , [ 5, 0, 6, 5 ] , [ 7, 6, 0, 7 ] , [ 9, 11, 7, 2 ] , [ 11, 0, 0, 11 ] | |||
12P1 | 48 | 1 | 12 | 0 | 0 | [ 1, 8, 4, 9 ] , [ 5, 4, 8, 9 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 4, 5 ] , [ 9, 8, 10, 5 ] | |||
12Q1 | 48 | 1 | 12 | 8 | 0 | [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 8, 1, 7, 4 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 0, 11 ] | |||
12R1 | 64 | 1 | 16 | 0 | 4 | [ 1, 0, 4, 1 ] , [ 1, 0, 8, 1 ] , [ 10, 3, 3, 1 ] , [ 11, 0, 4, 11 ] | |||
12S1 | 72 | 1 | 3 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 9, 1 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 0, 3, 7 ] , [ 7, 0, 6, 7 ] , [ 11, 0, 0, 11 ] | |||
12T1 | 72 | 1 | 9 | 8 | 0 | [ 4, 11, 5, 8 ] , [ 5, 0, 0, 5 ] , [ 7, 0, 0, 7 ] , [ 7, 6, 6, 7 ] | |||
12U1 | 72 | 1 | 18 | 4 | 0 | [ 0, 7, 5, 0 ] , [ 0, 7, 5, 6 ] , [ 1, 6, 6, 1 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 6, 11 ] | |||
12V1 | 96 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 5, 4, 8, 9 ] , [ 7, 8, 10, 3 ] , [ 9, 8, 4, 5 ] | |||
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
14A1 | 14 | 2 | 7 | 0 | 2 | [ 1, 2, 4, 9 ] , [ 5, 8, 2, 9 ] , [ 7, 12, 4, 7 ] , [ 8, 7, 7, 1 ] , [ 11, 12, 0, 9 ] , [ 13, 0, 0, 13 ] | |||
14B1 | 21 | 2 | 21 | 3 | 0 | [ 1, 2, 4, 9 ] , [ 1, 7, 0, 1 ] , [ 5, 8, 2, 9 ] , [ 7, 12, 4, 7 ] , [ 11, 12, 0, 9 ] , [ 13, 0, 0, 13 ] | |||
14C1 | Γ0(14) | 24 | 1 | 24 | 0 | 0 | [ 1, 0, 7, 1 ] , [ 11, 8, 12, 5 ] , [ 13, 10, 2, 7 ] , [ 13, 12, 12, 9 ] | ||
14D1 | 28 | 2 | 7 | 0 | 4 | [ 3, 10, 6, 11 ] , [ 5, 8, 2, 9 ] , [ 7, 10, 2, 13 ] , [ 8, 7, 7, 1 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] | |||
14E1 | 42 | 1 | 21 | 8 | 0 | [ 1, 9, 11, 2 ] , [ 2, 13, 5, 5 ] , [ 6, 3, 11, 8 ] , [ 8, 7, 7, 1 ] , [ 13, 7, 7, 6 ] | |||
14F1 | 42 | 2 | 42 | 4 | 3 | [ 0, 3, 9, 13 ] , [ 1, 9, 4, 9 ] , [ 3, 10, 6, 11 ] , [ 5, 8, 2, 9 ] , [ 9, 6, 12, 5 ] , [ 13, 0, 0, 13 ] | |||
14G1 | 56 | 1 | 28 | 8 | 2 | [ 1, 7, 7, 8 ] , [ 1, 12, 1, 13 ] , [ 9, 2, 0, 11 ] , [ 13, 0, 0, 13 ] | |||
14H1 | Γ1(14) | 72 | 1 | 24 | 0 | 0 | [ 3, 3, 8, 13 ] , [ 5, 6, 2, 11 ] , [ 11, 8, 12, 5 ] , [ 11, 11, 6, 1 ] | ||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A1 | 15 | 1 | 5 | 3 | 0 | [ 1, 3, 6, 4 ] , [ 1, 9, 3, 13 ] , [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 11, 0, 0, 11 ] , [ 11, 5, 5, 1 ] , [ 13, 0, 3, 7 ] | |||
15B1 | 20 | 1 | 20 | 0 | 2 | [ 4, 0, 0, 4 ] , [ 4, 9, 6, 10 ] , [ 6, 5, 10, 11 ] , [ 7, 0, 9, 13 ] , [ 7, 3, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 5, 6 ] | |||
15C1 | Γ0(15) | 24 | 1 | 24 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 1, 0, 10, 1 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 0, 11 ] , [ 14, 0, 0, 14 ] , [ 14, 6, 3, 11 ] | ||
15D1 | 30 | 1 | 10 | 6 | 0 | [ 1, 5, 5, 11 ] , [ 4, 0, 0, 4 ] , [ 4, 3, 3, 10 ] , [ 6, 5, 10, 6 ] , [ 7, 9, 0, 13 ] , [ 11, 0, 0, 11 ] | |||
15E1 | 36 | 1 | 18 | 4 | 0 | [ 1, 10, 10, 11 ] , [ 2, 0, 12, 8 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 0, 11 ] , [ 14, 0, 0, 14 ] | |||
15F1 | 45 | 1 | 5 | 9 | 0 | [ 1, 3, 6, 4 ] , [ 4, 0, 0, 4 ] , [ 6, 5, 10, 6 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] | |||
15G1 | 48 | 1 | 24 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 4, 0, 10, 4 ] , [ 7, 3, 3, 10 ] , [ 11, 0, 5, 11 ] | |||
15H1 | 72 | 1 | 18 | 8 | 0 | [ 4, 0, 0, 4 ] , [ 5, 12, 12, 2 ] , [ 10, 4, 1, 5 ] , [ 13, 6, 6, 4 ] | |||
15I1 | Γ1(15) | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 1, 0, 10, 1 ] , [ 8, 12, 7, 5 ] , [ 13, 6, 6, 4 ] | ||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A1 | 24 | 1 | 6 | 0 | 0 | [ 1, 8, 8, 1 ] , [ 1, 12, 12, 1 ] , [ 5, 4, 12, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 11, 2, 14, 7 ] , [ 12, 13, 3, 10 ] , [ 13, 2, 6, 1 ] | |||
16B1 | 24 | 1 | 6 | 4 | 0 | [ 1, 8, 8, 1 ] , [ 1, 10, 2, 5 ] , [ 2, 7, 13, 6 ] , [ 4, 1, 15, 12 ] , [ 5, 4, 4, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 12, 12, 15 ] | |||
16C1 | 24 | 1 | 12 | 2 | 0 | [ 1, 8, 8, 1 ] , [ 9, 0, 0, 9 ] , [ 10, 9, 11, 10 ] , [ 12, 3, 5, 4 ] , [ 13, 8, 8, 5 ] , [ 13, 12, 4, 5 ] , [ 15, 8, 8, 15 ] | |||
16D1 | 24 | 1 | 12 | 4 | 0 | [ 1, 8, 8, 1 ] , [ 1, 10, 2, 5 ] , [ 2, 7, 13, 14 ] , [ 5, 4, 4, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 11, 6, 6, 15 ] , [ 15, 0, 0, 15 ] , [ 15, 12, 4, 15 ] | |||
16E1 | 48 | 1 | 6 | 0 | 0 | [ 1, 4, 0, 1 ] , [ 1, 8, 0, 1 ] , [ 3, 14, 8, 11 ] , [ 5, 0, 0, 13 ] , [ 9, 0, 0, 9 ] , [ 9, 6, 8, 9 ] , [ 9, 8, 0, 9 ] | |||
16F1 | 48 | 1 | 6 | 8 | 0 | [ 5, 12, 12, 13 ] , [ 7, 12, 12, 7 ] , [ 8, 15, 1, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] | |||
16G1 | 48 | 1 | 12 | 0 | 0 | [ 0, 1, 15, 6 ] , [ 1, 8, 8, 1 ] , [ 2, 3, 13, 4 ] , [ 9, 8, 8, 9 ] , [ 13, 6, 10, 1 ] , [ 13, 12, 4, 5 ] , [ 15, 6, 10, 3 ] | |||
16H1 | 48 | 1 | 12 | 4 | 0 | [ 3, 8, 0, 11 ] , [ 7, 12, 12, 7 ] , [ 8, 15, 1, 8 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] | |||
16I1 | 48 | 1 | 12 | 4 | 0 | [ 3, 8, 8, 11 ] , [ 4, 3, 5, 12 ] , [ 7, 12, 4, 7 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] | |||
16J1 | 48 | 1 | 12 | 8 | 0 | [ 1, 8, 8, 1 ] , [ 9, 8, 8, 9 ] , [ 11, 6, 6, 15 ] , [ 11, 14, 14, 15 ] , [ 13, 12, 12, 5 ] , [ 14, 11, 1, 2 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 2, 11 ] | |||
16K1 | 48 | 1 | 24 | 2 | 0 | [ 0, 5, 3, 12 ] , [ 1, 0, 8, 1 ] , [ 1, 4, 4, 1 ] , [ 1, 8, 8, 1 ] , [ 9, 8, 4, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ] | |||
16L1 | 48 | 1 | 24 | 2 | 0 | [ 0, 5, 3, 12 ] , [ 1, 0, 4, 1 ] , [ 1, 0, 8, 1 ] , [ 1, 4, 4, 1 ] , [ 1, 8, 8, 1 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 4, 15 ] | |||
16M1 | 96 | 1 | 6 | 0 | 0 | [ 1, 8, 0, 1 ] , [ 1, 12, 0, 1 ] , [ 9, 12, 0, 9 ] , [ 13, 2, 8, 5 ] , [ 13, 10, 8, 5 ] , [ 15, 4, 0, 15 ] | |||
^ | Level 17 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/17Z) Matrix Generators |
17A1 | Γ0(17) | 18 | 1 | 18 | 2 | 0 | [ 4, 0, 15, 13 ] , [ 9, 0, 11, 2 ] , [ 11, 0, 5, 14 ] , [ 16, 0, 0, 16 ] , [ 16, 0, 4, 16 ] | ||
17B1 | 36 | 1 | 18 | 4 | 0 | [ 1, 0, 8, 1 ] , [ 4, 0, 14, 13 ] , [ 15, 0, 8, 8 ] , [ 16, 0, 0, 16 ] | |||
17C1 | 72 | 1 | 18 | 8 | 0 | [ 1, 0, 2, 1 ] , [ 13, 0, 15, 4 ] , [ 16, 0, 0, 16 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A1 | 18 | 1 | 9 | 4 | 0 | [ 1, 9, 9, 10 ] , [ 1, 16, 1, 17 ] , [ 5, 12, 12, 11 ] , [ 7, 0, 0, 13 ] , [ 9, 10, 8, 9 ] , [ 13, 6, 6, 7 ] | |||
18B1 | 18 | 1 | 18 | 4 | 0 | [ 1, 16, 1, 17 ] , [ 3, 4, 11, 3 ] , [ 4, 9, 3, 7 ] , [ 7, 3, 3, 4 ] , [ 13, 15, 3, 16 ] , [ 17, 6, 12, 17 ] | |||
18C1 | 24 | 1 | 4 | 0 | 0 | [ 1, 9, 9, 10 ] , [ 1, 9, 15, 10 ] , [ 10, 9, 9, 1 ] , [ 13, 0, 0, 7 ] , [ 16, 9, 5, 13 ] , [ 17, 0, 0, 17 ] | |||
18D1 | 24 | 1 | 8 | 0 | 3 | [ 1, 0, 6, 1 ] , [ 1, 3, 3, 10 ] , [ 7, 15, 1, 10 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18E1 | 27 | 1 | 27 | 5 | 0 | [ 7, 6, 6, 13 ] , [ 11, 10, 4, 7 ] , [ 13, 6, 0, 7 ] , [ 15, 10, 17, 15 ] , [ 15, 14, 16, 9 ] , [ 17, 6, 12, 17 ] | |||
18F1 | 36 | 1 | 18 | 4 | 0 | [ 1, 0, 6, 1 ] , [ 1, 9, 9, 10 ] , [ 1, 15, 15, 10 ] , [ 15, 4, 11, 15 ] , [ 17, 12, 6, 17 ] | |||
18G1 | 36 | 1 | 36 | 4 | 0 | [ 1, 0, 6, 1 ] , [ 4, 3, 3, 7 ] , [ 4, 15, 15, 7 ] , [ 15, 4, 11, 15 ] , [ 17, 12, 6, 17 ] | |||
18H1 | 54 | 1 | 27 | 12 | 0 | [ 0, 1, 17, 0 ] , [ 5, 12, 12, 11 ] , [ 7, 12, 12, 13 ] , [ 10, 7, 1, 8 ] , [ 10, 9, 9, 1 ] | |||
18I1 | 54 | 1 | 54 | 2 | 0 | [ 7, 0, 12, 13 ] , [ 7, 6, 3, 13 ] , [ 7, 12, 12, 13 ] , [ 11, 6, 6, 5 ] , [ 17, 16, 4, 7 ] | |||
18J1 | 72 | 1 | 4 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 0, 2, 13 ] , [ 13, 0, 0, 7 ] , [ 17, 0, 0, 17 ] | |||
18K1 | 72 | 1 | 8 | 0 | 9 | [ 1, 0, 6, 1 ] , [ 7, 0, 6, 13 ] , [ 16, 15, 7, 1 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 19 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/19Z) Matrix Generators |
19A1 | Γ0(19) | 20 | 1 | 20 | 0 | 2 | [ 0, 18, 1, 1 ] , [ 2, 7, 12, 14 ] , [ 3, 5, 3, 18 ] , [ 18, 0, 0, 18 ] | ||
19B1 | 60 | 1 | 20 | 0 | 6 | [ 11, 0, 6, 7 ] , [ 16, 9, 13, 5 ] , [ 18, 0, 0, 18 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A1 | 20 | 1 | 20 | 2 | 2 | [ 1, 5, 5, 6 ] , [ 4, 5, 15, 4 ] , [ 11, 0, 0, 11 ] , [ 13, 4, 0, 17 ] , [ 13, 8, 16, 13 ] , [ 16, 5, 15, 16 ] , [ 17, 0, 12, 13 ] | |||
20B1 | 24 | 1 | 24 | 4 | 0 | [ 1, 10, 5, 11 ] , [ 11, 0, 0, 11 ] , [ 16, 5, 15, 11 ] , [ 17, 8, 8, 5 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] | |||
20C1 | 24 | 2 | 6 | 4 | 0 | [ 7, 2, 5, 13 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 16, 15, 5, 11 ] , [ 17, 8, 8, 5 ] , [ 19, 0, 0, 19 ] | |||
20D1 | Γ0(20) | 36 | 1 | 18 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 5, 12, 17, 17 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 0, 10, 11 ] | ||
20E1 | 36 | 1 | 18 | 4 | 0 | [ 1, 0, 10, 1 ] , [ 5, 12, 12, 17 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 0, 10, 11 ] , [ 15, 2, 17, 17 ] | |||
20F1 | 40 | 2 | 10 | 4 | 4 | [ 1, 15, 15, 6 ] , [ 5, 14, 11, 15 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 19, 0, 0, 19 ] | |||
20G1 | 48 | 1 | 24 | 8 | 0 | [ 11, 0, 0, 11 ] , [ 13, 16, 16, 9 ] , [ 16, 5, 15, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] | |||
20H1 | 72 | 1 | 18 | 0 | 0 | [ 1, 0, 5, 1 ] , [ 1, 0, 10, 1 ] , [ 13, 12, 12, 5 ] , [ 17, 8, 8, 5 ] , [ 19, 4, 14, 3 ] | |||
20I1 | 72 | 1 | 18 | 8 | 0 | [ 1, 0, 10, 1 ] , [ 13, 12, 12, 5 ] , [ 15, 6, 9, 5 ] , [ 17, 8, 8, 5 ] , [ 19, 4, 14, 3 ] | |||
20J1 | 72 | 2 | 18 | 4 | 0 | [ 1, 4, 17, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 10, 11 ] , [ 13, 16, 16, 9 ] , [ 15, 12, 2, 7 ] , [ 19, 0, 0, 19 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A1 | 24 | 2 | 8 | 0 | 3 | [ 1, 0, 18, 1 ] , [ 1, 14, 14, 8 ] , [ 4, 0, 14, 16 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 20, 0, 6, 20 ] | |||
21B1 | Γ0(21) | 32 | 1 | 32 | 0 | 2 | [ 1, 0, 7, 1 ] , [ 1, 0, 14, 1 ] , [ 1, 0, 18, 1 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 16, 0, 0, 4 ] , [ 20, 0, 20, 20 ] | ||
21C1 | 42 | 2 | 14 | 6 | 3 | [ 1, 14, 14, 8 ] , [ 4, 0, 2, 16 ] , [ 7, 10, 16, 14 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 11, 0, 16, 2 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 14, 15 ] , [ 16, 9, 15, 19 ] | |||
21D1 | 42 | 2 | 21 | 10 | 0 | [ 2, 5, 20, 19 ] , [ 4, 6, 3, 10 ] , [ 4, 18, 0, 16 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] | |||
21E1 | 63 | 1 | 21 | 15 | 0 | [ 4, 6, 3, 10 ] , [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 7, 7, 1 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 12, 6, 19 ] | |||
21F1 | 64 | 1 | 32 | 0 | 4 | [ 1, 0, 7, 1 ] , [ 1, 0, 9, 1 ] , [ 4, 0, 15, 16 ] , [ 20, 0, 7, 20 ] , [ 20, 0, 14, 20 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A1 | 22 | 2 | 11 | 0 | 4 | [ 0, 13, 5, 21 ] , [ 11, 8, 4, 11 ] , [ 12, 11, 11, 1 ] , [ 21, 0, 0, 21 ] | |||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A1 | 24 | 2 | 4 | 6 | 0 | [ 1, 16, 16, 17 ] , [ 3, 8, 4, 3 ] , [ 4, 15, 9, 4 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24B1 | 24 | 2 | 12 | 6 | 0 | [ 1, 4, 16, 17 ] , [ 4, 13, 19, 20 ] , [ 4, 15, 9, 4 ] , [ 7, 0, 0, 7 ] , [ 12, 11, 13, 12 ] , [ 13, 0, 12, 13 ] , [ 13, 9, 9, 10 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] | |||
24C1 | 36 | 1 | 6 | 6 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 8, 20, 17 ] , [ 1, 16, 4, 17 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 3, 13 ] | |||
24D1 | 36 | 1 | 9 | 8 | 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, 10, 7, 5 ] | |||
24E1 | 36 | 1 | 18 | 6 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 4, 4, 5 ] , [ 13, 4, 22, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 19, 18, 3, 13 ] | |||
24F1 | 48 | 1 | 16 | 12 | 0 | [ 1, 1, 13, 14 ] , [ 1, 9, 21, 22 ] , [ 4, 9, 15, 4 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 17, 16, 16, 1 ] , [ 19, 0, 0, 19 ] | |||
24G1 | Γ0(24) | 48 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 8, 0, 1 ] , [ 5, 0, 6, 5 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 9, 17 ] , [ 23, 0, 0, 23 ] | ||
24H1 | 72 | 1 | 9 | 16 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 18, 1 ] , [ 9, 8, 16, 9 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 12, 19 ] , [ 23, 2, 23, 1 ] | |||
24I1 | 72 | 1 | 18 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 10, 4, 17 ] , [ 5, 14, 23, 7 ] , [ 11, 0, 12, 11 ] , [ 13, 0, 12, 13 ] , [ 17, 12, 18, 17 ] , [ 19, 12, 18, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 21, 23 ] | |||
24J1 | 96 | 1 | 24 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 12, 1 ] , [ 1, 8, 0, 1 ] , [ 11, 0, 6, 11 ] , [ 13, 0, 3, 13 ] , [ 13, 0, 18, 13 ] , [ 23, 0, 3, 23 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A1 | 28 | 1 | 14 | 0 | 4 | [ 5, 20, 16, 7 ] , [ 11, 14, 16, 11 ] , [ 13, 16, 4, 15 ] , [ 14, 13, 13, 1 ] , [ 17, 0, 24, 23 ] | |||
26B1 | 56 | 1 | 14 | 0 | 8 | [ 3, 18, 0, 9 ] , [ 5, 2, 22, 9 ] , [ 14, 13, 13, 1 ] , [ 21, 18, 24, 7 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A1 | Γ0(27) | 36 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 10, 0, 24, 19 ] , [ 16, 18, 25, 13 ] , [ 25, 0, 14, 13 ] , [ 26, 0, 0, 26 ] | ||
27B1 | 36 | 1 | 12 | 0 | 6 | [ 1, 0, 18, 1 ] , [ 1, 18, 6, 1 ] , [ 10, 0, 9, 19 ] , [ 10, 15, 25, 16 ] , [ 19, 0, 0, 10 ] , [ 19, 3, 17, 7 ] , [ 26, 0, 0, 26 ] | |||
27C1 | 108 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 10, 0, 0, 19 ] , [ 19, 0, 24, 10 ] , [ 25, 9, 20, 4 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A1 | 28 | 2 | 28 | 6 | 1 | [ 1, 16, 4, 9 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] , [ 21, 12, 4, 21 ] , [ 22, 21, 21, 1 ] , [ 25, 12, 0, 9 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A1 | 30 | 1 | 10 | 0 | 6 | [ 1, 10, 10, 11 ] , [ 1, 20, 20, 11 ] , [ 1, 24, 18, 13 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 25, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 21, 10, 20, 21 ] | |||
30B1 | 30 | 2 | 5 | 0 | 6 | [ 1, 15, 15, 16 ] , [ 1, 18, 6, 19 ] , [ 7, 0, 12, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 24, 16, 25 ] , [ 21, 20, 10, 21 ] | |||
30C1 | 36 | 1 | 18 | 8 | 0 | [ 1, 25, 10, 11 ] , [ 7, 18, 18, 25 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 21, 25, 20, 21 ] , [ 27, 25, 2, 3 ] , [ 29, 0, 0, 29 ] | |||
30D1 | 72 | 1 | 18 | 16 | 0 | [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 13, 6, 6, 19 ] , [ 13, 10, 13, 17 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A1 | Γ0(32) | 48 | 1 | 12 | 0 | 0 | [ 1, 16, 16, 1 ] , [ 1, 28, 12, 17 ] , [ 5, 20, 12, 29 ] , [ 9, 8, 24, 25 ] , [ 9, 24, 8, 25 ] , [ 11, 26, 6, 23 ] , [ 13, 4, 12, 21 ] , [ 15, 18, 6, 3 ] , [ 17, 10, 6, 13 ] , [ 17, 16, 16, 17 ] , [ 19, 26, 22, 15 ] , [ 26, 29, 27, 8 ] | ||
32B1 | 48 | 1 | 12 | 12 | 0 | [ 0, 5, 19, 0 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 9, 6, 6, 29 ] , [ 9, 8, 8, 25 ] , [ 13, 6, 22, 25 ] , [ 17, 16, 16, 17 ] , [ 21, 4, 4, 13 ] , [ 25, 28, 28, 25 ] , [ 31, 0, 0, 31 ] | |||
32C1 | 48 | 1 | 24 | 2 | 0 | [ 0, 7, 9, 0 ] , [ 1, 16, 16, 1 ] , [ 7, 4, 12, 7 ] , [ 9, 16, 16, 25 ] , [ 9, 24, 8, 25 ] , [ 13, 8, 8, 5 ] , [ 16, 15, 17, 16 ] , [ 17, 0, 0, 17 ] , [ 21, 28, 4, 13 ] , [ 26, 25, 27, 26 ] , [ 29, 28, 4, 5 ] | |||
32D1 | 48 | 1 | 24 | 2 | 0 | [ 0, 7, 9, 0 ] , [ 1, 16, 16, 1 ] , [ 7, 4, 12, 7 ] , [ 9, 16, 16, 25 ] , [ 9, 24, 8, 25 ] , [ 11, 22, 26, 23 ] , [ 13, 8, 8, 5 ] , [ 17, 0, 0, 17 ] , [ 21, 28, 4, 13 ] , [ 26, 25, 27, 10 ] , [ 29, 28, 4, 5 ] | |||
32E1 | 96 | 1 | 12 | 0 | 0 | [ 5, 12, 4, 29 ] , [ 5, 30, 18, 25 ] , [ 9, 8, 24, 25 ] , [ 11, 26, 6, 23 ] , [ 13, 14, 18, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 2, 30, 13 ] , [ 17, 16, 16, 17 ] , [ 18, 25, 23, 16 ] , [ 21, 20, 12, 13 ] , [ 21, 28, 20, 13 ] | |||
^ | Level 33 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/33Z) Matrix Generators |
33A1 | 33 | 2 | 11 | 9 | 0 | [ 1, 11, 11, 23 ] , [ 10, 17, 29, 23 ] , [ 12, 26, 13, 9 ] , [ 23, 0, 0, 23 ] , [ 23, 11, 11, 1 ] , [ 32, 0, 0, 32 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A1 | 36 | 1 | 36 | 10 | 0 | [ 1, 4, 28, 5 ] , [ 1, 9, 9, 10 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 12, 13 ] , [ 25, 24, 24, 13 ] , [ 28, 27, 9, 28 ] , [ 29, 28, 4, 25 ] | |||
36B1 | 48 | 1 | 8 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 22, 3, 15, 25 ] , [ 35, 0, 0, 35 ] | |||
36C1 | Γ0(36) | 72 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 0, 20, 13 ] , [ 35, 0, 0, 35 ] | ||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A1 | 42 | 2 | 14 | 6 | 3 | [ 1, 26, 26, 14 ] , [ 4, 0, 37, 10 ] , [ 7, 6, 10, 31 ] , [ 13, 3, 30, 28 ] , [ 14, 0, 0, 14 ] , [ 14, 26, 26, 1 ] , [ 27, 26, 13, 27 ] , [ 37, 27, 16, 37 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A1 | 72 | 2 | 18 | 4 | 0 | [ 1, 20, 20, 1 ] , [ 9, 0, 20, 9 ] , [ 9, 8, 26, 1 ] , [ 11, 10, 30, 31 ] , [ 14, 15, 25, 24 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 21, 30, 30, 1 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A1 | 42 | 2 | 7 | 12 | 0 | [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 6, 12, 19 ] , [ 41, 26, 17, 19 ] | |||
42B1 | 42 | 2 | 21 | 12 | 0 | [ 7, 12, 18, 7 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 19 ] , [ 15, 14, 7, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 37, 6, 12, 19 ] | |||
^ | Level 49 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/49Z) Matrix Generators |
49A1 | Γ0(49) | 56 | 1 | 56 | 0 | 2 | [ 6, 44, 5, 45 ] , [ 22, 0, 42, 29 ] , [ 25, 21, 2, 37 ] , [ 29, 7, 14, 22 ] , [ 48, 0, 0, 48 ] | ||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A1 | 56 | 2 | 14 | 4 | 8 | [ 5, 20, 16, 33 ] , [ 13, 16, 4, 41 ] , [ 14, 39, 39, 1 ] , [ 27, 0, 26, 27 ] , [ 27, 26, 0, 27 ] , [ 33, 16, 31, 45 ] , [ 41, 6, 32, 25 ] |