[Introduction] - Groups of Genus: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Groups of Level:
9
15
16
18
20
21
22
24
25
26
27
28
30
32
33
35
36
37
38
39
40
42
44
45
46
48
50
52
54
55
56
57
60
63
66
70
72
74
75
76
77
78
80
81
84
86
88
90
92
96
99
100
105
108
110
112
114
115
117
118
124
125
127
129
134
140
143
144
147
150
156
165
168
^ | Level 9 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/9Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
9A10 | Γ(9) | 324 | 1 | 1 | 0 | 0 | [ 8, 0, 0, 8 ] | ||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A10 | 180 | 1 | 1 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 6, 10, 5, 6 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] | |||
15B10 | 180 | 1 | 5 | 0 | 0 | [ 4, 0, 0, 4 ] , [ 4, 6, 3, 1 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A10 | 192 | 1 | 48 | 4 | 0 | [ 0, 5, 3, 8 ] , [ 1, 8, 8, 1 ] , [ 7, 12, 4, 7 ] , [ 15, 0, 0, 15 ] | |||
16B10 | 192 | 1 | 48 | 4 | 0 | [ 1, 8, 8, 1 ] , [ 1, 12, 4, 1 ] , [ 4, 11, 13, 4 ] , [ 15, 0, 0, 15 ] , [ 15, 4, 12, 15 ] | |||
16C10 | 192 | 1 | 48 | 4 | 0 | [ 0, 1, 15, 0 ] , [ 0, 7, 9, 8 ] , [ 1, 8, 8, 1 ] , [ 9, 8, 0, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 8, 8, 15 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A10 | 162 | 1 | 27 | 0 | 0 | [ 1, 12, 2, 7 ] , [ 9, 10, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] | |||
18B10 | 162 | 1 | 27 | 0 | 0 | [ 1, 9, 9, 10 ] , [ 1, 14, 14, 17 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18C10 | 162 | 1 | 27 | 0 | 0 | [ 11, 10, 4, 7 ] , [ 11, 12, 12, 5 ] , [ 13, 12, 12, 7 ] , [ 15, 2, 4, 3 ] | |||
18D10 | 216 | 1 | 4 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 10, 9, 9, 1 ] , [ 17, 0, 0, 17 ] | |||
18E10 | 216 | 1 | 4 | 0 | 0 | [ 13, 0, 0, 7 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18F10 | 216 | 1 | 8 | 0 | 0 | [ 4, 9, 15, 7 ] , [ 7, 9, 9, 4 ] , [ 17, 0, 0, 17 ] | |||
18G10 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 12, 2, 7 ] , [ 17, 0, 0, 17 ] | |||
18H10 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 6, 2, 7 ] , [ 17, 0, 0, 17 ] | |||
18I10 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 4, 9, 13, 7 ] , [ 17, 0, 0, 17 ] | |||
18J10 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 7, 3, 13, 16 ] , [ 17, 0, 0, 17 ] | |||
18K10 | 216 | 1 | 24 | 0 | 0 | [ 7, 15, 3, 4 ] , [ 16, 9, 9, 13 ] , [ 17, 0, 0, 17 ] | |||
18L10 | 243 | 1 | 81 | 9 | 0 | [ 1, 14, 14, 17 ] , [ 4, 1, 1, 14 ] , [ 5, 8, 8, 13 ] , [ 17, 0, 0, 17 ] | |||
18M10 | 324 | 1 | 12 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 12, 1 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A10 | 180 | 1 | 15 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 12, 13 ] , [ 17, 16, 0, 13 ] | |||
20B10 | 180 | 1 | 30 | 6 | 0 | [ 9, 0, 0, 9 ] , [ 9, 12, 4, 1 ] , [ 11, 0, 0, 11 ] , [ 12, 15, 17, 8 ] , [ 16, 15, 5, 16 ] | |||
20C10 | 180 | 1 | 45 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 3, 0, 3, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ] | |||
20D10 | 180 | 1 | 45 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 4, 0, 17 ] , [ 13, 10, 8, 17 ] | |||
20E10 | 180 | 1 | 45 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 7, 4, 5, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 10, 11 ] , [ 13, 6, 0, 17 ] | |||
20F10 | 180 | 1 | 90 | 6 | 0 | [ 7, 0, 2, 3 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 17, 6, 15, 3 ] , [ 17, 16, 0, 13 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A10 | 168 | 1 | 56 | 0 | 3 | [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 16, 0, 14, 4 ] | |||
21B10 | 168 | 2 | 56 | 0 | 3 | [ 4, 6, 3, 10 ] , [ 6, 13, 8, 14 ] , [ 6, 20, 1, 7 ] , [ 10, 15, 18, 4 ] , [ 13, 0, 0, 13 ] , [ 15, 1, 20, 14 ] , [ 19, 12, 6, 16 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A10 | 198 | 1 | 198 | 6 | 0 | [ 1, 0, 11, 1 ] , [ 5, 2, 20, 17 ] , [ 9, 10, 0, 5 ] , [ 21, 0, 0, 21 ] | |||
22B10 | 220 | 2 | 55 | 12 | 4 | [ 3, 12, 1, 19 ] , [ 12, 11, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 19, 10, 21, 3 ] , [ 21, 0, 0, 21 ] | |||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A10 | 144 | 1 | 1 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 3, 8, 4, 3 ] , [ 7, 0, 0, 7 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] | |||
24B10 | 144 | 1 | 3 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] , [ 23, 20, 8, 7 ] | |||
24C10 | 144 | 1 | 12 | 0 | 0 | [ 1, 4, 4, 17 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 16, 9, 15, 4 ] , [ 17, 0, 0, 17 ] , [ 17, 4, 4, 1 ] | |||
24D10 | 144 | 1 | 24 | 0 | 0 | [ 5, 0, 0, 5 ] , [ 7, 0, 12, 7 ] , [ 9, 14, 16, 9 ] , [ 13, 0, 12, 13 ] , [ 13, 12, 0, 13 ] , [ 17, 12, 0, 17 ] , [ 19, 2, 14, 23 ] | |||
24E10 | 144 | 1 | 36 | 0 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 13, 16, 16, 5 ] , [ 16, 1, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] | |||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A10 | 150 | 1 | 150 | 2 | 0 | [ 3, 5, 21, 2 ] , [ 6, 0, 10, 21 ] , [ 14, 0, 5, 9 ] , [ 16, 15, 15, 11 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A10 | 182 | 1 | 91 | 0 | 8 | [ 1, 1, 23, 24 ] , [ 1, 13, 13, 14 ] , [ 7, 23, 21, 6 ] , [ 17, 4, 12, 9 ] , [ 25, 0, 0, 25 ] | |||
26B10 | 182 | 1 | 91 | 8 | 2 | [ 1, 13, 13, 14 ] , [ 3, 6, 7, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 11, 9 ] , [ 25, 0, 0, 25 ] | |||
26C10 | 182 | 1 | 91 | 8 | 2 | [ 1, 13, 13, 14 ] , [ 3, 6, 7, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 24, 9 ] , [ 25, 0, 0, 25 ] | |||
26D10 | Γ1(26) | 252 | 1 | 42 | 0 | 0 | [ 11, 3, 4, 13 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ] | ||
26E10 | 252 | 1 | 42 | 12 | 0 | [ 19, 19, 22, 7 ] , [ 21, 18, 24, 7 ] , [ 23, 6, 8, 1 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 8, 3 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A10 | 162 | 2 | 81 | 6 | 0 | [ 0, 1, 26, 0 ] , [ 5, 3, 3, 2 ] , [ 10, 0, 9, 19 ] , [ 10, 18, 18, 19 ] , [ 22, 24, 24, 25 ] | |||
27B10 | 324 | 1 | 4 | 0 | 0 | [ 1, 0, 3, 1 ] , [ 1, 0, 9, 1 ] , [ 19, 0, 0, 10 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A10 | 168 | 2 | 42 | 8 | 0 | [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 8, 20, 13 ] , [ 21, 12, 4, 21 ] , [ 23, 3, 22, 9 ] | |||
28B10 | 168 | 2 | 84 | 8 | 0 | [ 1, 7, 7, 22 ] , [ 9, 20, 12, 5 ] , [ 11, 11, 22, 17 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 23, 18, 9 ] | |||
28C10 | 288 | 1 | 24 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 14, 14, 1 ] , [ 21, 16, 24, 9 ] , [ 23, 8, 12, 3 ] | |||
28D10 | Γ1(28) | 288 | 1 | 48 | 0 | 0 | [ 5, 20, 16, 25 ] , [ 9, 12, 4, 21 ] , [ 13, 4, 20, 17 ] , [ 15, 21, 0, 15 ] , [ 17, 10, 8, 13 ] , [ 19, 16, 24, 7 ] | ||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A10 | 180 | 1 | 15 | 12 | 0 | [ 1, 10, 25, 11 ] , [ 1, 15, 15, 16 ] , [ 7, 6, 0, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] | |||
30B10 | 180 | 1 | 15 | 12 | 0 | [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 13, 0, 21, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] | |||
30C10 | 180 | 1 | 30 | 12 | 0 | [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] | |||
30D10 | 180 | 1 | 45 | 12 | 0 | [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 9, 1 ] , [ 23, 20, 8, 7 ] , [ 29, 0, 0, 29 ] | |||
30E10 | 180 | 1 | 45 | 12 | 0 | [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 9, 1 ] , [ 23, 20, 23, 7 ] , [ 29, 0, 0, 29 ] | |||
30F10 | 180 | 1 | 60 | 0 | 0 | [ 1, 20, 10, 21 ] , [ 1, 24, 12, 19 ] , [ 7, 0, 9, 13 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 11 ] , [ 21, 20, 25, 11 ] | |||
30G10 | 180 | 1 | 60 | 12 | 0 | [ 1, 10, 10, 11 ] , [ 4, 3, 3, 25 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 9, 23 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] | |||
30H10 | 180 | 1 | 90 | 8 | 0 | [ 1, 0, 15, 1 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 4, 13 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 19 ] , [ 27, 20, 4, 3 ] | |||
30I10 | 180 | 2 | 45 | 12 | 0 | [ 1, 15, 15, 16 ] , [ 9, 2, 19, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] , [ 23, 20, 23, 7 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A10 | 192 | 1 | 48 | 4 | 0 | [ 0, 1, 31, 0 ] , [ 1, 16, 16, 1 ] , [ 9, 0, 0, 25 ] , [ 9, 24, 8, 25 ] , [ 17, 0, 0, 17 ] , [ 20, 5, 3, 4 ] , [ 24, 9, 7, 24 ] , [ 25, 0, 0, 9 ] , [ 31, 0, 0, 31 ] , [ 31, 8, 24, 31 ] | |||
32B10 | 192 | 1 | 48 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 7, 28, 4, 7 ] , [ 12, 3, 5, 28 ] , [ 17, 16, 16, 17 ] , [ 20, 21, 19, 4 ] , [ 25, 24, 8, 9 ] , [ 31, 24, 8, 31 ] | |||
32C10 | 192 | 1 | 48 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 12, 3, 5, 28 ] , [ 15, 4, 12, 31 ] , [ 17, 16, 16, 17 ] , [ 20, 21, 19, 4 ] , [ 25, 24, 8, 9 ] , [ 31, 24, 8, 31 ] | |||
^ | Level 33 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/33Z) Matrix Generators |
33A10 | 132 | 2 | 11 | 0 | 0 | [ 1, 15, 24, 31 ] , [ 23, 0, 0, 23 ] , [ 32, 0, 0, 32 ] , [ 32, 6, 18, 23 ] | |||
33B10 | 165 | 1 | 55 | 9 | 0 | [ 1, 11, 11, 23 ] , [ 10, 0, 0, 10 ] , [ 12, 11, 22, 12 ] , [ 14, 27, 3, 20 ] , [ 19, 10, 10, 14 ] , [ 23, 0, 0, 23 ] , [ 25, 18, 30, 19 ] | |||
33C10 | 198 | 1 | 66 | 18 | 0 | [ 1, 22, 22, 23 ] , [ 1, 30, 18, 13 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 22, 1 ] , [ 30, 16, 20, 3 ] , [ 32, 0, 0, 32 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A10 | 140 | 2 | 70 | 0 | 2 | [ 1, 21, 7, 8 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 11, 20, 10, 31 ] , [ 16, 30, 15, 26 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A10 | 144 | 1 | 4 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 25, 24, 16, 1 ] , [ 35, 0, 0, 35 ] | |||
36B10 | 144 | 1 | 4 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 28, 13 ] , [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] | |||
36C10 | 144 | 1 | 4 | 0 | 0 | [ 13, 0, 0, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 34, 27, 27, 13 ] , [ 35, 0, 0, 35 ] | |||
36D10 | 144 | 1 | 8 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 0, 19 ] , [ 22, 15, 11, 1 ] , [ 35, 0, 0, 35 ] | |||
36E10 | 144 | 1 | 8 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 0, 0, 25 ] , [ 19, 18, 0, 19 ] , [ 22, 9, 25, 25 ] , [ 35, 0, 0, 35 ] | |||
36F10 | 144 | 1 | 8 | 0 | 0 | [ 1, 18, 18, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 21, 27, 7 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] | |||
36G10 | 144 | 1 | 12 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 9, 9, 10 ] , [ 1, 18, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 4, 25 ] , [ 35, 0, 0, 35 ] | |||
36H10 | 144 | 1 | 16 | 0 | 0 | [ 10, 27, 9, 10 ] , [ 13, 0, 0, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 28, 27, 9, 19 ] , [ 35, 0, 0, 35 ] | |||
36I10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 13, 12, 4, 1 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 18, 19 ] , [ 31, 15, 29, 28 ] | |||
36J10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 8, 1 ] , [ 35, 0, 0, 35 ] | |||
36K10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 0, 12, 25 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
36L10 | 144 | 1 | 48 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 10, 27, 9, 10 ] , [ 13, 24, 8, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 9, 27, 28 ] , [ 35, 0, 0, 35 ] | |||
36M10 | 162 | 1 | 81 | 0 | 0 | [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 9, 28, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 22, 22, 1 ] , [ 19, 18, 18, 19 ] , [ 22, 19, 1, 32 ] | |||
36N10 | 162 | 1 | 81 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ] , [ 33, 4, 11, 21 ] , [ 33, 20, 4, 21 ] | |||
36O10 | 162 | 1 | 81 | 6 | 0 | [ 1, 12, 20, 25 ] , [ 1, 18, 18, 1 ] , [ 9, 28, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 17, 22, 22, 1 ] , [ 19, 18, 18, 19 ] , [ 22, 19, 1, 14 ] | |||
36P10 | 162 | 2 | 81 | 6 | 0 | [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 29, 28, 4, 25 ] , [ 33, 2, 22, 21 ] , [ 33, 4, 11, 21 ] | |||
36Q10 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ] | |||
36R10 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 12, 20, 25 ] , [ 19, 0, 18, 19 ] , [ 35, 0, 0, 35 ] | |||
36S10 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 20, 25 ] , [ 35, 0, 0, 35 ] | |||
36T10 | 216 | 1 | 108 | 24 | 0 | [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 20, 19, 13, 16 ] , [ 33, 8, 28, 9 ] | |||
^ | Level 37 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/37Z) Matrix Generators |
37A10 | 228 | 1 | 38 | 0 | 12 | [ 29, 18, 3, 7 ] , [ 30, 18, 3, 8 ] , [ 30, 26, 26, 9 ] | |||
^ | Level 38 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/38Z) Matrix Generators |
38A10 | 180 | 1 | 60 | 0 | 0 | [ 1, 0, 19, 1 ] , [ 9, 4, 22, 31 ] , [ 37, 0, 0, 37 ] , [ 37, 32, 16, 19 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A10 | 168 | 2 | 56 | 0 | 3 | [ 7, 3, 18, 19 ] , [ 7, 6, 23, 31 ] , [ 7, 21, 15, 34 ] , [ 14, 0, 0, 14 ] , [ 25, 0, 0, 25 ] | |||
39B10 | 252 | 1 | 42 | 24 | 0 | [ 14, 0, 0, 14 ] , [ 16, 2, 8, 23 ] , [ 16, 28, 34, 23 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A10 | 160 | 1 | 160 | 8 | 1 | [ 1, 5, 25, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 16, 33 ] , [ 21, 0, 0, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] | |||
40B10 | 160 | 2 | 80 | 4 | 4 | [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 26, 35, 35, 21 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ] | |||
40C10 | 180 | 1 | 15 | 12 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 16, 5, 35, 16 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ] | |||
40D10 | 180 | 1 | 30 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 11, 10, 30, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 32, 17 ] | |||
40E10 | 180 | 1 | 30 | 6 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ] , [ 33, 0, 32, 17 ] , [ 33, 16, 0, 17 ] | |||
40F10 | 180 | 1 | 90 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 10, 30, 31 ] , [ 14, 23, 1, 16 ] , [ 21, 20, 20, 21 ] , [ 38, 15, 17, 32 ] | |||
40G10 | 180 | 1 | 90 | 6 | 0 | [ 1, 20, 20, 1 ] , [ 6, 15, 5, 26 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 0, 21 ] , [ 31, 20, 20, 31 ] , [ 31, 30, 10, 11 ] , [ 38, 15, 37, 22 ] , [ 38, 31, 5, 22 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A10 | 126 | 1 | 21 | 0 | 0 | [ 1, 21, 21, 22 ] , [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 18, 1 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] | |||
42B10 | 126 | 1 | 42 | 0 | 0 | [ 1, 28, 28, 29 ] , [ 8, 35, 21, 29 ] , [ 14, 5, 39, 35 ] , [ 15, 14, 28, 15 ] , [ 15, 23, 25, 2 ] , [ 19, 22, 16, 23 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] | |||
42C10 | 126 | 2 | 7 | 0 | 0 | [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] | |||
42D10 | 144 | 1 | 8 | 0 | 0 | [ 1, 14, 14, 29 ] , [ 1, 21, 21, 22 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 14, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ] | |||
42E10 | 144 | 1 | 8 | 0 | 0 | [ 1, 14, 14, 29 ] , [ 7, 12, 18, 19 ] , [ 7, 18, 12, 13 ] , [ 9, 40, 32, 21 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] | |||
42F10 | 144 | 1 | 16 | 0 | 0 | [ 1, 14, 14, 29 ] , [ 22, 7, 21, 1 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 37, 36, 12, 31 ] | |||
42G10 | 144 | 1 | 16 | 0 | 0 | [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 14, 39, 33, 41 ] , [ 15, 28, 14, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 31, 24, 36, 13 ] | |||
42H10 | 144 | 1 | 24 | 0 | 0 | [ 1, 14, 35, 29 ] , [ 1, 21, 21, 22 ] , [ 7, 30, 24, 37 ] , [ 15, 28, 35, 15 ] , [ 17, 20, 2, 37 ] , [ 29, 0, 0, 29 ] | |||
42I10 | 144 | 1 | 72 | 0 | 0 | [ 7, 12, 18, 19 ] , [ 7, 18, 12, 13 ] , [ 15, 35, 28, 15 ] , [ 23, 26, 32, 7 ] , [ 25, 36, 12, 19 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] | |||
42J10 | 144 | 2 | 8 | 0 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 15, 14, 28, 15 ] , [ 19, 36, 4, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] | |||
42K10 | 189 | 1 | 63 | 15 | 0 | [ 1, 28, 28, 29 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 19, 30, 18, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A10 | 132 | 2 | 33 | 0 | 0 | [ 1, 0, 22, 1 ] , [ 9, 4, 24, 1 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 37, 36, 42, 29 ] | |||
44B10 | 144 | 1 | 12 | 0 | 0 | [ 1, 28, 32, 17 ] , [ 3, 38, 8, 43 ] , [ 21, 22, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 27, 6, 10, 43 ] , [ 37, 24, 12, 9 ] , [ 43, 0, 0, 43 ] | |||
44C10 | 144 | 1 | 72 | 0 | 0 | [ 1, 22, 11, 23 ] , [ 5, 32, 16, 41 ] , [ 21, 22, 11, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 33, 16, 24, 25 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A10 | 162 | 1 | 162 | 6 | 0 | [ 1, 9, 0, 1 ] , [ 6, 35, 25, 11 ] , [ 26, 0, 0, 26 ] , [ 36, 10, 35, 36 ] , [ 37, 27, 0, 28 ] , [ 41, 10, 10, 31 ] , [ 44, 0, 0, 44 ] | |||
45B10 | 180 | 1 | 20 | 0 | 0 | [ 1, 27, 9, 19 ] , [ 1, 40, 0, 1 ] , [ 14, 3, 36, 11 ] , [ 19, 0, 0, 19 ] , [ 28, 36, 0, 37 ] , [ 31, 0, 0, 16 ] , [ 31, 15, 0, 16 ] | |||
45C10 | 180 | 2 | 20 | 0 | 9 | [ 1, 30, 0, 1 ] , [ 16, 30, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 0, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] , [ 40, 14, 21, 4 ] | |||
45D10 | 180 | 2 | 90 | 16 | 0 | [ 6, 5, 25, 36 ] , [ 10, 27, 27, 19 ] , [ 11, 15, 15, 41 ] , [ 13, 31, 25, 32 ] , [ 16, 0, 15, 31 ] , [ 31, 15, 15, 16 ] , [ 44, 0, 0, 44 ] | |||
^ | Level 46 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/46Z) Matrix Generators |
46A10 | 144 | 1 | 24 | 0 | 0 | [ 3, 26, 14, 45 ] , [ 21, 30, 2, 27 ] , [ 23, 30, 36, 11 ] , [ 45, 0, 0, 45 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A10 | 144 | 1 | 3 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 5, 0, 42, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 0, 25 ] , [ 27, 32, 34, 3 ] , [ 33, 32, 16, 33 ] , [ 37, 24, 24, 13 ] | |||
48B10 | 144 | 1 | 9 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 5, 0, 42, 29 ] , [ 5, 32, 32, 13 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 21, 32, 16, 45 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] | |||
48C10 | 144 | 1 | 12 | 0 | 0 | [ 0, 1, 47, 36 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ] | |||
48D10 | 144 | 1 | 36 | 0 | 0 | [ 0, 1, 47, 36 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 36, 37 ] , [ 13, 28, 28, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 45, 28, 44, 21 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ] | |||
48E10 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 3, 28, 5, 15 ] , [ 5, 0, 36, 29 ] , [ 5, 24, 42, 29 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 0, 36, 25 ] , [ 41, 20, 2, 1 ] , [ 47, 0, 0, 47 ] | |||
48F10 | 144 | 2 | 24 | 6 | 0 | [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 24, 1, 47, 36 ] , [ 25, 12, 12, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ] | |||
48G10 | 144 | 2 | 72 | 6 | 0 | [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 16, 17, 47, 20 ] , [ 16, 33, 15, 4 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 36 ] , [ 25, 12, 12, 25 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ] | |||
48H10 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 4 ] , [ 17, 0, 32, 17 ] , [ 31, 12, 36, 31 ] | |||
48I10 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 16 ] , [ 17, 0, 32, 17 ] , [ 31, 12, 36, 31 ] , [ 40, 15, 33, 4 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A10 | 150 | 1 | 75 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 25, 25, 26 ] , [ 7, 36, 0, 43 ] , [ 27, 10, 22, 23 ] , [ 31, 40, 30, 21 ] , [ 39, 20, 20, 9 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A10 | 252 | 1 | 42 | 12 | 0 | [ 19, 45, 22, 33 ] , [ 21, 18, 24, 33 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 25, 44, 10, 1 ] , [ 27, 26, 0, 27 ] | |||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A10 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 13, 18, 0, 25 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 18, 22, 31 ] , [ 37, 0, 0, 19 ] | |||
54B10 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 19, 0, 24, 37 ] , [ 28, 27, 27, 1 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ] , [ 43, 36, 26, 13 ] | |||
54C10 | 216 | 1 | 12 | 0 | 18 | [ 1, 0, 18, 1 ] , [ 1, 12, 2, 25 ] , [ 1, 30, 44, 25 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 36, 37 ] , [ 28, 27, 27, 1 ] , [ 53, 0, 0, 53 ] | |||
54D10 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 10, 9, 9, 19 ] , [ 19, 0, 18, 37 ] , [ 37, 0, 12, 19 ] , [ 49, 18, 22, 7 ] , [ 53, 0, 0, 53 ] | |||
54E10 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 13, 27, 31, 52 ] , [ 13, 36, 38, 43 ] , [ 17, 0, 30, 35 ] , [ 19, 0, 18, 37 ] , [ 19, 0, 30, 37 ] , [ 37, 0, 48, 19 ] | |||
54F10 | 216 | 1 | 24 | 0 | 18 | [ 1, 0, 36, 1 ] , [ 16, 39, 29, 37 ] , [ 25, 0, 0, 13 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 53, 0, 0, 53 ] | |||
54G10 | 216 | 1 | 24 | 0 | 18 | [ 1, 0, 36, 1 ] , [ 16, 39, 29, 37 ] , [ 25, 27, 27, 40 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 36, 19 ] , [ 37, 36, 48, 19 ] , [ 53, 0, 0, 53 ] | |||
54H10 | 216 | 2 | 24 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 13, 9, 11, 16 ] , [ 13, 9, 27, 52 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] | |||
54I10 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 24, 37 ] , [ 35, 0, 0, 17 ] , [ 37, 0, 0, 19 ] , [ 43, 36, 26, 13 ] | |||
^ | Level 55 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/55Z) Matrix Generators |
55A10 | 132 | 2 | 66 | 0 | 0 | [ 1, 44, 0, 1 ] , [ 29, 25, 20, 4 ] , [ 34, 0, 0, 34 ] , [ 54, 0, 0, 54 ] , [ 54, 35, 5, 44 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A10 | 168 | 2 | 42 | 8 | 0 | [ 1, 28, 0, 1 ] , [ 9, 19, 38, 43 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 19, 36, 16, 51 ] , [ 25, 0, 24, 9 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56B10 | 168 | 2 | 42 | 12 | 0 | [ 1, 7, 42, 15 ] , [ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 25, 32, 8, 17 ] , [ 29, 0, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] | |||
56C10 | 168 | 2 | 42 | 12 | 0 | [ 9, 24, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ] | |||
56D10 | 168 | 2 | 84 | 12 | 0 | [ 1, 28, 0, 1 ] , [ 1, 55, 26, 31 ] , [ 7, 10, 44, 55 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 25, 0, 24, 9 ] , [ 29, 7, 42, 43 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56E10 | 168 | 2 | 84 | 12 | 0 | [ 1, 28, 0, 1 ] , [ 1, 48, 40, 17 ] , [ 7, 10, 44, 55 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 25, 0, 24, 9 ] , [ 29, 7, 42, 43 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56F10 | 288 | 1 | 24 | 0 | 0 | [ 9, 8, 12, 17 ] , [ 9, 40, 32, 49 ] , [ 19, 41, 44, 39 ] , [ 19, 48, 44, 11 ] , [ 29, 28, 0, 29 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ] | |||
^ | Level 57 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/57Z) Matrix Generators |
57A10 | 171 | 2 | 57 | 15 | 0 | [ 20, 0, 0, 20 ] , [ 20, 19, 19, 1 ] , [ 20, 38, 38, 1 ] , [ 31, 4, 16, 26 ] , [ 37, 0, 0, 37 ] , [ 55, 20, 50, 41 ] | |||
57B10 | 180 | 2 | 20 | 0 | 9 | [ 1, 19, 19, 20 ] , [ 1, 38, 38, 20 ] , [ 20, 0, 0, 20 ] , [ 37, 0, 0, 37 ] , [ 37, 39, 15, 22 ] , [ 38, 34, 24, 56 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A10 | 120 | 1 | 20 | 0 | 0 | [ 1, 40, 40, 41 ] , [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] | |||
60B10 | 180 | 1 | 20 | 18 | 0 | [ 1, 40, 40, 41 ] , [ 1, 45, 45, 46 ] , [ 13, 0, 48, 37 ] , [ 16, 15, 45, 16 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ] | |||
60C10 | 180 | 1 | 30 | 12 | 0 | [ 1, 0, 30, 1 ] , [ 21, 20, 40, 21 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 0, 45, 31 ] , [ 37, 30, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 0, 0, 49 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A10 | 168 | 2 | 56 | 0 | 3 | [ 10, 36, 18, 46 ] , [ 13, 27, 36, 7 ] , [ 15, 28, 56, 50 ] , [ 19, 54, 27, 37 ] , [ 22, 42, 21, 43 ] , [ 28, 36, 6, 55 ] , [ 42, 29, 34, 13 ] , [ 43, 0, 21, 22 ] , [ 46, 6, 24, 10 ] , [ 55, 0, 0, 55 ] , [ 57, 22, 62, 56 ] | |||
63B10 | 189 | 2 | 189 | 21 | 0 | [ 1, 42, 21, 1 ] , [ 8, 0, 0, 8 ] , [ 10, 36, 18, 46 ] , [ 19, 36, 45, 19 ] , [ 19, 54, 27, 37 ] , [ 28, 18, 54, 28 ] , [ 46, 27, 45, 10 ] , [ 49, 8, 62, 41 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 36, 28 ] , [ 62, 62, 29, 28 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A10 | 132 | 2 | 132 | 0 | 0 | [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 10, 21, 39, 16 ] , [ 23, 0, 22, 23 ] , [ 34, 33, 33, 34 ] , [ 35, 24, 36, 53 ] , [ 43, 0, 0, 43 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A10 | 140 | 2 | 70 | 4 | 2 | [ 1, 35, 35, 36 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 26, 55, 25, 26 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 35, 43 ] , [ 57, 56, 28, 57 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A10 | 144 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 36, 27, 37 ] , [ 1, 48, 0, 1 ] , [ 11, 28, 51, 71 ] , [ 25, 56, 48, 1 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 41, 64, 33, 41 ] , [ 49, 0, 0, 25 ] , [ 49, 64, 6, 49 ] , [ 59, 28, 51, 23 ] | |||
72B10 | 144 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 48, 0, 1 ] , [ 7, 12, 36, 31 ] , [ 19, 36, 36, 19 ] , [ 19, 36, 54, 19 ] , [ 19, 68, 42, 67 ] , [ 25, 56, 24, 25 ] , [ 29, 56, 69, 29 ] , [ 37, 0, 36, 37 ] , [ 49, 24, 0, 25 ] , [ 65, 20, 24, 65 ] | |||
72C10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 18, 27, 55 ] , [ 1, 24, 0, 1 ] , [ 1, 56, 48, 25 ] , [ 5, 8, 66, 5 ] , [ 17, 40, 24, 65 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 55, 56, 48, 7 ] , [ 59, 62, 57, 5 ] | |||
72D10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 8, 24, 49 ] , [ 1, 24, 0, 1 ] , [ 1, 32, 24, 49 ] , [ 19, 0, 36, 19 ] , [ 19, 18, 45, 1 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 0, 37 ] , [ 55, 18, 45, 37 ] , [ 65, 16, 48, 65 ] | |||
72E10 | 144 | 1 | 36 | 8 | 0 | [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 40, 41 ] , [ 55, 0, 0, 55 ] , [ 60, 59, 61, 48 ] | |||
72F10 | 144 | 1 | 36 | 8 | 0 | [ 8, 67, 13, 28 ] , [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 40, 41 ] , [ 55, 0, 0, 55 ] | |||
72G10 | 144 | 1 | 72 | 8 | 0 | [ 1, 36, 36, 1 ] , [ 1, 60, 60, 1 ] , [ 5, 9, 33, 2 ] , [ 15, 55, 71, 6 ] , [ 22, 27, 15, 25 ] , [ 22, 63, 51, 25 ] , [ 25, 0, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 46, 15, 3, 1 ] , [ 49, 48, 48, 25 ] , [ 52, 23, 41, 68 ] , [ 55, 36, 36, 55 ] | |||
72H10 | 144 | 1 | 72 | 8 | 0 | [ 1, 16, 28, 17 ] , [ 1, 36, 36, 1 ] , [ 25, 24, 0, 49 ] , [ 29, 12, 0, 5 ] , [ 37, 36, 0, 37 ] , [ 40, 53, 59, 44 ] , [ 49, 36, 12, 25 ] , [ 49, 64, 28, 41 ] , [ 55, 36, 36, 55 ] , [ 58, 27, 27, 61 ] , [ 67, 4, 52, 59 ] , [ 67, 60, 24, 43 ] | |||
72I10 | 144 | 2 | 36 | 8 | 0 | [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 24, 0, 49 ] , [ 25, 36, 60, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 52, 4, 41 ] , [ 55, 0, 0, 55 ] , [ 60, 59, 61, 12 ] | |||
72J10 | 144 | 2 | 72 | 4 | 0 | [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 10, 27, 27, 37 ] , [ 16, 41, 71, 56 ] , [ 17, 0, 0, 17 ] , [ 19, 48, 36, 19 ] , [ 25, 68, 8, 65 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 36, 55 ] | |||
72K10 | 144 | 2 | 72 | 4 | 0 | [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 10, 27, 27, 37 ] , [ 17, 0, 0, 17 ] , [ 19, 48, 36, 19 ] , [ 25, 32, 8, 65 ] , [ 28, 9, 63, 64 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 36, 55 ] | |||
72L10 | 144 | 2 | 72 | 8 | 0 | [ 1, 24, 48, 1 ] , [ 1, 36, 36, 1 ] , [ 1, 69, 33, 46 ] , [ 17, 48, 24, 17 ] , [ 19, 0, 36, 19 ] , [ 22, 27, 39, 25 ] , [ 37, 21, 45, 10 ] , [ 37, 36, 0, 37 ] , [ 49, 0, 24, 25 ] , [ 49, 68, 20, 41 ] , [ 52, 37, 67, 20 ] , [ 55, 60, 12, 55 ] | |||
^ | Level 74 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/74Z) Matrix Generators |
74A10 | 228 | 1 | 38 | 12 | 12 | [ 1, 37, 37, 38 ] , [ 7, 16, 15, 45 ] , [ 29, 18, 40, 7 ] , [ 67, 18, 40, 45 ] , [ 67, 26, 26, 9 ] | |||
^ | Level 75 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/75Z) Matrix Generators |
75A10 | 180 | 1 | 6 | 0 | 0 | [ 16, 15, 0, 61 ] , [ 22, 18, 63, 55 ] , [ 26, 0, 0, 26 ] , [ 26, 50, 50, 1 ] , [ 31, 15, 15, 46 ] , [ 44, 0, 45, 29 ] , [ 51, 50, 25, 51 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A10 | 240 | 1 | 20 | 0 | 24 | [ 1, 19, 19, 58 ] , [ 1, 38, 38, 1 ] , [ 17, 14, 28, 41 ] , [ 39, 38, 0, 39 ] , [ 41, 36, 16, 53 ] , [ 65, 32, 24, 13 ] | |||
^ | Level 77 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/77Z) Matrix Generators |
77A10 | 154 | 2 | 77 | 6 | 4 | [ 21, 72, 73, 56 ] , [ 34, 0, 0, 34 ] , [ 43, 0, 0, 43 ] , [ 50, 63, 14, 50 ] , [ 56, 44, 66, 56 ] , [ 56, 55, 22, 1 ] , [ 67, 11, 22, 45 ] | |||
77B10 | 154 | 2 | 77 | 6 | 4 | [ 1, 66, 11, 34 ] , [ 10, 66, 33, 10 ] , [ 13, 4, 24, 43 ] , [ 23, 33, 55, 12 ] , [ 34, 0, 0, 34 ] , [ 45, 0, 22, 12 ] , [ 76, 28, 7, 34 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A10 | 252 | 1 | 14 | 36 | 0 | [ 1, 26, 26, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 52, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 21, 49 ] , [ 73, 18, 24, 7 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A10 | 120 | 1 | 15 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 16, 5, 35, 56 ] , [ 17, 48, 16, 17 ] , [ 17, 64, 0, 33 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 32, 17 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 57, 18, 66, 77 ] , [ 71, 60, 60, 71 ] | |||
80B10 | 120 | 1 | 60 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 16, 5, 35, 76 ] , [ 17, 32, 64, 17 ] , [ 17, 64, 0, 33 ] , [ 33, 0, 32, 17 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 46, 55, 5, 6 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 20, 21 ] , [ 71, 20, 60, 71 ] | |||
^ | Level 81 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/81Z) Matrix Generators |
81A10 | 324 | 1 | 12 | 0 | 0 | [ 1, 0, 45, 1 ] , [ 1, 0, 54, 1 ] , [ 19, 54, 0, 64 ] , [ 40, 72, 16, 43 ] , [ 46, 27, 51, 37 ] , [ 53, 0, 0, 26 ] , [ 55, 0, 0, 28 ] , [ 58, 45, 79, 25 ] , [ 64, 27, 54, 19 ] | |||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A10 | 126 | 2 | 21 | 0 | 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, 56, 35, 43 ] | |||
84B10 | 144 | 1 | 24 | 0 | 0 | [ 1, 42, 0, 1 ] , [ 9, 40, 32, 21 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 42, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 29, 77, 56, 1 ] , [ 49, 12, 60, 61 ] , [ 49, 60, 12, 13 ] , [ 71, 42, 0, 71 ] | |||
84C10 | 144 | 1 | 72 | 0 | 0 | [ 1, 42, 0, 1 ] , [ 15, 14, 70, 15 ] , [ 23, 26, 74, 7 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 42, 0, 29 ] , [ 49, 12, 60, 61 ] , [ 49, 60, 12, 13 ] , [ 57, 77, 70, 15 ] , [ 71, 42, 0, 71 ] | |||
84D10 | 144 | 2 | 24 | 0 | 0 | [ 1, 0, 42, 1 ] , [ 1, 0, 63, 1 ] , [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 48, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 42, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 4, 1 ] | |||
84E10 | 168 | 2 | 56 | 12 | 3 | [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 29, 56, 56, 1 ] , [ 43, 0, 0, 43 ] , [ 43, 63, 42, 1 ] , [ 49, 24, 16, 13 ] , [ 61, 36, 72, 37 ] , [ 73, 24, 48, 25 ] | |||
84F10 | 168 | 2 | 84 | 16 | 0 | [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 49, 12, 60, 49 ] , [ 51, 31, 50, 9 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 14, 1 ] | |||
^ | Level 86 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/86Z) Matrix Generators |
86A10 | Γ0(86) | 132 | 1 | 132 | 0 | 0 | [ 5, 15, 18, 37 ] , [ 11, 36, 30, 67 ] , [ 17, 12, 66, 77 ] , [ 39, 26, 4, 49 ] , [ 67, 74, 40, 75 ] | ||
^ | Level 88 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/88Z) Matrix Generators |
88A10 | 132 | 2 | 66 | 0 | 0 | [ 1, 0, 44, 1 ] , [ 1, 44, 55, 45 ] , [ 23, 44, 77, 67 ] , [ 45, 0, 22, 45 ] , [ 45, 0, 44, 45 ] , [ 47, 40, 32, 31 ] , [ 65, 0, 0, 65 ] , [ 71, 20, 79, 83 ] | |||
88B10 | 144 | 1 | 36 | 0 | 0 | [ 1, 0, 22, 1 ] , [ 1, 0, 44, 1 ] , [ 1, 64, 80, 17 ] , [ 29, 44, 56, 85 ] , [ 45, 0, 44, 45 ] , [ 59, 52, 15, 55 ] , [ 65, 64, 24, 25 ] , [ 73, 0, 23, 41 ] , [ 81, 80, 8, 9 ] | |||
88C10 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 22, 1 ] , [ 9, 32, 56, 33 ] , [ 25, 24, 20, 65 ] , [ 45, 0, 0, 45 ] , [ 45, 0, 44, 45 ] , [ 65, 64, 24, 25 ] , [ 67, 0, 44, 67 ] , [ 67, 66, 55, 45 ] , [ 73, 64, 64, 73 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A10 | 120 | 1 | 20 | 0 | 0 | [ 1, 10, 30, 31 ] , [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 31, 60, 0, 61 ] , [ 37, 54, 0, 73 ] , [ 55, 54, 36, 19 ] , [ 73, 0, 72, 37 ] , [ 86, 25, 75, 71 ] | |||
90B10 | 120 | 1 | 40 | 0 | 0 | [ 1, 65, 15, 76 ] , [ 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 ] | |||
90C10 | 120 | 2 | 20 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 1, 80, 30, 61 ] , [ 14, 21, 39, 65 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 37, 54, 0, 73 ] , [ 55, 34, 36, 19 ] | |||
90D10 | 135 | 1 | 135 | 5 | 0 | [ 1, 45, 0, 1 ] , [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 37, 36, 0, 73 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 71, 65, 80, 1 ] , [ 73, 0, 18, 37 ] , [ 81, 5, 70, 51 ] | |||
90E10 | 162 | 1 | 162 | 10 | 0 | [ 19, 36, 36, 73 ] , [ 31, 50, 50, 11 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 41, 45, 60, 11 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 73, 54, 54, 19 ] , [ 81, 40, 20, 21 ] , [ 89, 30, 60, 89 ] | |||
90F10 | 180 | 1 | 90 | 20 | 0 | [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 70, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 32 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ] | |||
^ | Level 92 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/92Z) Matrix Generators |
92A10 | Γ0(92) | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 23, 1 ] , [ 1, 0, 46, 1 ] , [ 9, 48, 80, 69 ] , [ 29, 0, 12, 73 ] , [ 47, 0, 46, 47 ] , [ 61, 36, 84, 33 ] | ||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A10 | 144 | 1 | 6 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 33, 80, 67, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] | |||
96B10 | 144 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 33, 80, 67, 81 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 16, 64, 1 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] | |||
96C10 | 144 | 2 | 24 | 6 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 5, 24, 48, 77 ] , [ 25, 48, 0, 73 ] , [ 33, 64, 32, 33 ] , [ 35, 54, 45, 53 ] , [ 35, 94, 43, 25 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] | |||
96D10 | 144 | 2 | 72 | 6 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 5, 24, 48, 77 ] , [ 25, 48, 0, 73 ] , [ 35, 30, 87, 17 ] , [ 35, 54, 45, 53 ] , [ 35, 94, 43, 25 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 59, 24, 12, 83 ] , [ 65, 0, 0, 65 ] , [ 67, 94, 55, 17 ] , [ 71, 48, 24, 23 ] | |||
96E10 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 72, 24, 1 ] , [ 22, 39, 21, 46 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 52, 27, 93, 28 ] , [ 55, 12, 36, 55 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 32, 65 ] , [ 85, 24, 24, 61 ] | |||
96F10 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 6, 90, 61 ] , [ 1, 48, 48, 1 ] , [ 1, 72, 24, 1 ] , [ 22, 39, 21, 46 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 55, 12, 36, 55 ] , [ 61, 84, 12, 37 ] , [ 65, 0, 32, 65 ] , [ 85, 24, 24, 61 ] | |||
^ | Level 99 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/99Z) Matrix Generators |
99A10 | 132 | 2 | 44 | 0 | 0 | [ 1, 0, 33, 1 ] , [ 34, 0, 0, 67 ] , [ 34, 81, 90, 31 ] , [ 67, 0, 44, 34 ] , [ 89, 0, 66, 89 ] , [ 98, 0, 0, 98 ] , [ 98, 72, 18, 89 ] | |||
^ | Level 100 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/100Z) Matrix Generators |
100A10 | 180 | 1 | 90 | 0 | 0 | [ 1, 0, 50, 1 ] , [ 5, 32, 12, 97 ] , [ 9, 58, 36, 21 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 69, 76, 83, 61 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A10 | 120 | 1 | 40 | 0 | 0 | [ 1, 0, 90, 1 ] , [ 1, 70, 70, 71 ] , [ 22, 63, 0, 43 ] , [ 36, 35, 70, 36 ] , [ 46, 0, 45, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 45, 76 ] , [ 92, 35, 14, 43 ] , [ 99, 14, 91, 15 ] | |||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A10 | 144 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 13, 0, 4, 25 ] , [ 13, 36, 92, 97 ] , [ 37, 0, 48, 73 ] , [ 55, 27, 81, 28 ] , [ 55, 54, 0, 55 ] , [ 71, 0, 84, 35 ] , [ 73, 0, 72, 37 ] , [ 73, 0, 84, 37 ] | |||
108B10 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 25, 0, 56, 13 ] , [ 37, 0, 12, 73 ] , [ 37, 0, 36, 73 ] , [ 49, 72, 48, 97 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 48, 37 ] , [ 97, 9, 25, 58 ] , [ 107, 0, 0, 107 ] | |||
108C10 | 144 | 1 | 24 | 0 | 6 | [ 1, 0, 36, 1 ] , [ 1, 0, 72, 1 ] , [ 4, 81, 75, 7 ] , [ 13, 30, 74, 13 ] , [ 25, 54, 102, 13 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 0, 55 ] , [ 73, 0, 0, 37 ] , [ 73, 36, 12, 37 ] , [ 107, 0, 0, 107 ] | |||
108D10 | 144 | 1 | 48 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 36, 16, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 48, 37 ] , [ 82, 27, 81, 82 ] , [ 85, 0, 92, 61 ] , [ 107, 0, 0, 107 ] | |||
108E10 | 144 | 1 | 48 | 0 | 6 | [ 1, 0, 72, 1 ] , [ 1, 48, 32, 25 ] , [ 1, 96, 16, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 36, 37 ] , [ 73, 0, 72, 37 ] , [ 73, 72, 60, 37 ] , [ 82, 27, 81, 82 ] , [ 107, 0, 0, 107 ] | |||
108F10 | Γ0(108) | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 13, 72, 0, 25 ] , [ 25, 72, 76, 85 ] , [ 37, 0, 0, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 30, 35 ] , [ 73, 0, 84, 37 ] | ||
^ | Level 110 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/110Z) Matrix Generators |
110A10 | 120 | 1 | 60 | 0 | 0 | [ 1, 55, 55, 56 ] , [ 1, 88, 66, 89 ] , [ 21, 0, 0, 21 ] , [ 21, 60, 30, 91 ] , [ 23, 44, 0, 67 ] , [ 45, 66, 44, 89 ] , [ 71, 50, 40, 101 ] , [ 89, 0, 0, 89 ] | |||
^ | Level 112 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/112Z) Matrix Generators |
112A10 | 168 | 2 | 21 | 16 | 0 | [ 1, 56, 0, 1 ] , [ 1, 63, 42, 71 ] , [ 29, 28, 0, 85 ] , [ 29, 76, 40, 101 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 57, 84, 56, 57 ] , [ 63, 66, 44, 55 ] , [ 65, 48, 96, 33 ] , [ 71, 56, 0, 71 ] , [ 81, 0, 80, 65 ] , [ 97, 0, 0, 97 ] | |||
^ | Level 114 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/114Z) Matrix Generators |
114A10 | 120 | 1 | 20 | 0 | 0 | [ 39, 76, 38, 39 ] , [ 58, 27, 3, 25 ] , [ 58, 57, 57, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 42, 30, 91 ] , [ 91, 12, 66, 25 ] , [ 113, 38, 38, 37 ] | |||
114B10 | 120 | 1 | 60 | 0 | 0 | [ 39, 76, 95, 39 ] , [ 58, 27, 3, 25 ] , [ 58, 57, 57, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 79, 42, 30, 91 ] , [ 91, 12, 66, 25 ] , [ 113, 38, 38, 37 ] | |||
114C10 | 120 | 2 | 20 | 0 | 0 | [ 1, 57, 57, 58 ] , [ 19, 48, 36, 97 ] , [ 37, 28, 18, 103 ] , [ 37, 38, 38, 113 ] , [ 77, 0, 0, 77 ] , [ 77, 38, 38, 1 ] , [ 77, 76, 76, 1 ] , [ 97, 90, 66, 73 ] | |||
^ | Level 115 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/115Z) Matrix Generators |
115A10 | 120 | 1 | 120 | 0 | 0 | [ 1, 92, 92, 70 ] , [ 21, 50, 15, 96 ] , [ 24, 0, 0, 24 ] , [ 47, 92, 0, 93 ] , [ 51, 60, 5, 51 ] , [ 91, 0, 0, 91 ] , [ 93, 0, 69, 47 ] | |||
^ | Level 117 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/117Z) Matrix Generators |
117A10 | 168 | 2 | 56 | 0 | 3 | [ 1, 78, 0, 1 ] , [ 20, 45, 9, 32 ] , [ 40, 46, 33, 76 ] , [ 55, 45, 99, 64 ] , [ 79, 0, 0, 40 ] , [ 79, 52, 0, 40 ] , [ 92, 39, 0, 14 ] , [ 103, 0, 0, 25 ] | |||
^ | Level 118 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/118Z) Matrix Generators |
118A10 | 120 | 1 | 60 | 0 | 0 | [ 60, 59, 59, 1 ] , [ 69, 58, 22, 51 ] , [ 105, 44, 78, 99 ] , [ 117, 0, 0, 117 ] | |||
^ | Level 124 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/124Z) Matrix Generators |
124A10 | 128 | 1 | 128 | 0 | 2 | [ 1, 31, 31, 94 ] , [ 25, 116, 100, 97 ] , [ 33, 76, 104, 93 ] , [ 57, 88, 48, 85 ] , [ 63, 0, 0, 63 ] , [ 63, 62, 31, 1 ] , [ 97, 16, 20, 57 ] | |||
^ | Level 125 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/125Z) Matrix Generators |
125A10 | 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, 63, 33, 112 ] | |||
125B10 | 150 | 1 | 150 | 2 | 0 | [ 11, 50, 65, 91 ] , [ 32, 102, 32, 20 ] , [ 44, 45, 85, 104 ] , [ 51, 0, 75, 76 ] , [ 51, 100, 100, 76 ] , [ 61, 86, 43, 34 ] , [ 71, 65, 40, 56 ] | |||
^ | Level 127 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/127Z) Matrix Generators |
127A10 | Γ0(127) | 128 | 1 | 128 | 0 | 2 | [ 58, 126, 0, 46 ] , [ 59, 8, 0, 28 ] , [ 126, 0, 0, 126 ] , [ 126, 94, 0, 126 ] | ||
^ | Level 129 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/129Z) Matrix Generators |
129A10 | 132 | 2 | 44 | 0 | 3 | [ 20, 87, 108, 128 ] , [ 28, 54, 51, 103 ] , [ 44, 0, 0, 44 ] , [ 44, 86, 86, 1 ] , [ 74, 76, 9, 11 ] , [ 87, 86, 43, 87 ] , [ 128, 0, 0, 128 ] | |||
^ | Level 134 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/134Z) Matrix Generators |
134A10 | 136 | 1 | 68 | 0 | 4 | [ 37, 90, 128, 47 ] , [ 43, 84, 46, 93 ] , [ 68, 67, 67, 1 ] , [ 113, 34, 96, 87 ] , [ 133, 67, 67, 66 ] | |||
^ | Level 140 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/140Z) Matrix Generators |
140A10 | 140 | 2 | 140 | 6 | 2 | [ 1, 60, 120, 61 ] , [ 1, 105, 70, 71 ] , [ 21, 80, 100, 81 ] , [ 29, 84, 112, 1 ] , [ 38, 61, 73, 73 ] , [ 41, 0, 0, 41 ] , [ 41, 35, 35, 6 ] , [ 41, 40, 120, 1 ] , [ 41, 60, 80, 1 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 0, 71 ] , [ 81, 120, 0, 121 ] , [ 99, 115, 130, 69 ] , [ 101, 100, 60, 101 ] , [ 122, 117, 45, 73 ] | |||
^ | Level 143 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/143Z) Matrix Generators |
143A10 | 154 | 2 | 154 | 6 | 4 | [ 1, 0, 33, 1 ] , [ 12, 0, 0, 12 ] , [ 14, 26, 49, 40 ] , [ 34, 0, 77, 122 ] , [ 100, 0, 77, 133 ] , [ 105, 130, 112, 27 ] , [ 131, 0, 0, 131 ] | |||
^ | Level 144 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/144Z) Matrix Generators |
144A10 | 144 | 2 | 72 | 10 | 0 | [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 41, 80, 104, 73 ] , [ 64, 9, 135, 28 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 128, 65 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ] | |||
144B10 | 144 | 2 | 72 | 10 | 0 | [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 41, 80, 32, 73 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 128, 65 ] , [ 104, 17, 95, 100 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ] | |||
144C10 | 144 | 2 | 72 | 10 | 0 | [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 16, 137, 119, 20 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 56, 65 ] , [ 105, 80, 136, 57 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ] | |||
144D10 | 144 | 2 | 72 | 10 | 0 | [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 16, 137, 119, 20 ] , [ 41, 80, 104, 73 ] , [ 73, 0, 72, 73 ] , [ 73, 108, 108, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 48, 49 ] , [ 97, 128, 56, 65 ] , [ 109, 72, 36, 37 ] , [ 113, 96, 96, 65 ] , [ 127, 36, 108, 127 ] | |||
144E10 | 216 | 2 | 27 | 32 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 63, 44, 28, 63 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] | |||
^ | Level 147 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/147Z) Matrix Generators |
147A10 | 168 | 2 | 56 | 0 | 3 | [ 1, 0, 21, 1 ] , [ 50, 0, 0, 50 ] , [ 50, 98, 98, 1 ] , [ 85, 0, 0, 64 ] , [ 85, 0, 87, 64 ] , [ 99, 98, 49, 99 ] , [ 116, 140, 28, 30 ] , [ 146, 0, 0, 146 ] | |||
^ | Level 150 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/150Z) Matrix Generators |
150A10 | 180 | 1 | 30 | 12 | 0 | [ 31, 90, 90, 121 ] , [ 37, 32, 95, 143 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 75, 1 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 119, 0, 120, 29 ] | |||
^ | Level 156 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/156Z) Matrix Generators |
156A10 | 168 | 2 | 56 | 12 | 3 | [ 1, 52, 52, 53 ] , [ 1, 117, 117, 118 ] , [ 13, 120, 108, 145 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 61, 36, 36, 121 ] , [ 79, 0, 0, 79 ] , [ 79, 78, 117, 1 ] , [ 85, 84, 140, 109 ] | |||
^ | Level 165 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/165Z) Matrix Generators |
165A10 | 165 | 2 | 55 | 9 | 6 | [ 1, 55, 55, 56 ] , [ 1, 132, 99, 34 ] , [ 17, 58, 96, 17 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 56, 55, 55, 1 ] , [ 67, 0, 33, 133 ] , [ 67, 132, 44, 67 ] , [ 128, 135, 42, 92 ] , [ 164, 0, 0, 164 ] | |||
165B10 | 165 | 2 | 55 | 9 | 6 | [ 1, 55, 55, 56 ] , [ 1, 132, 99, 34 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 56, 55, 55, 1 ] , [ 67, 0, 33, 133 ] , [ 67, 33, 11, 67 ] , [ 72, 58, 41, 17 ] , [ 128, 135, 42, 92 ] , [ 164, 0, 0, 164 ] | |||
^ | Level 168 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/168Z) Matrix Generators |
168A10 | 168 | 2 | 28 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ] | |||
168B10 | 168 | 2 | 28 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 135, 31, 50, 9 ] , [ 145, 120, 72, 121 ] | |||
168C10 | 168 | 2 | 28 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] | |||
168D10 | 168 | 2 | 28 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] | |||
168E10 | 168 | 2 | 84 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 28, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ] | |||
168F10 | 168 | 2 | 84 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 24, 36, 121 ] , [ 145, 120, 72, 121 ] | |||
168G10 | 168 | 2 | 84 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 71, 119, 98, 1 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 127, 63, 42, 1 ] , [ 145, 120, 72, 121 ] | |||
168H10 | 168 | 2 | 84 | 18 | 0 | [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 22, 105, 21, 1 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 71, 119, 98, 1 ] , [ 85, 84, 0, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] |