[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:
11
15
20
21
22
23
25
26
27
28
30
32
35
36
40
42
45
48
49
50
56
58
60
61
62
63
65
72
75
84
87
88
90
91
96
99
100
106
108
112
116
117
120
125
126
132
135
138
140
141
142
144
145
149
150
151
152
154
155
157
158
159
165
168
172
174
180
182
210
^ | Level 11 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/11Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
11A12 | 330 | 1 | 55 | 6 | 0 | [ 1, 8, 8, 10 ] , [ 10, 0, 0, 10 ] | |||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A12 | 240 | 1 | 80 | 0 | 3 | [ 4, 0, 0, 4 ] , [ 10, 12, 7, 4 ] , [ 11, 0, 0, 11 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A12 | 240 | 1 | 240 | 8 | 3 | [ 3, 10, 11, 17 ] , [ 11, 0, 0, 11 ] , [ 14, 13, 13, 5 ] , [ 19, 0, 0, 19 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A12 | 252 | 1 | 63 | 16 | 0 | [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 17, 20, 17, 4 ] , [ 19, 15, 3, 19 ] | |||
21B12 | 252 | 1 | 63 | 16 | 0 | [ 2, 2, 8, 19 ] , [ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 13, 0, 0, 13 ] , [ 16, 8, 17, 2 ] | |||
21C12 | 252 | 1 | 63 | 16 | 0 | [ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 9, 8, 10, 9 ] , [ 10, 20, 17, 11 ] , [ 13, 0, 0, 13 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A12 | 220 | 1 | 55 | 4 | 4 | [ 1, 8, 19, 21 ] , [ 9, 4, 15, 19 ] , [ 12, 11, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 21, 0, 0, 21 ] | |||
^ | Level 23 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/23Z) Matrix Generators |
23A12 | Γ1(23) | 264 | 1 | 24 | 0 | 0 | [ 17, 10, 2, 8 ] , [ 22, 0, 0, 22 ] | ||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A12 | 300 | 1 | 15 | 0 | 0 | [ 6, 0, 20, 21 ] , [ 11, 20, 15, 16 ] , [ 24, 0, 0, 24 ] | |||
25B12 | Γ1(25) | 300 | 1 | 30 | 0 | 0 | [ 11, 5, 5, 16 ] , [ 23, 1, 16, 4 ] , [ 24, 0, 0, 24 ] | ||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A12 | 182 | 1 | 91 | 0 | 2 | [ 1, 13, 13, 14 ] , [ 3, 6, 20, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 24, 9 ] , [ 25, 0, 0, 25 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A12 | 243 | 1 | 243 | 19 | 0 | [ 0, 1, 26, 0 ] , [ 1, 25, 1, 26 ] , [ 5, 3, 3, 2 ] , [ 10, 18, 18, 19 ] , [ 22, 24, 24, 25 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A12 | 168 | 1 | 84 | 0 | 0 | [ 1, 7, 7, 22 ] , [ 1, 16, 4, 9 ] , [ 9, 20, 12, 5 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 25, 4, 8, 17 ] | |||
28B12 | 168 | 2 | 7 | 0 | 0 | [ 5, 8, 16, 9 ] , [ 9, 24, 8, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 8, 20, 13 ] , [ 21, 12, 4, 21 ] | |||
28C12 | 168 | 2 | 21 | 0 | 0 | [ 5, 8, 16, 9 ] , [ 9, 20, 12, 5 ] , [ 9, 26, 10, 1 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 12, 4, 21 ] , [ 25, 0, 24, 9 ] | |||
28D12 | 252 | 1 | 63 | 16 | 0 | [ 1, 0, 14, 1 ] , [ 1, 26, 1, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 2, 17, 7 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A12 | 180 | 1 | 15 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 25, 18, 18, 19 ] | |||
30B12 | 180 | 1 | 30 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] | |||
30C12 | 180 | 1 | 45 | 4 | 0 | [ 3, 20, 28, 27 ] , [ 11, 0, 0, 11 ] , [ 16, 15, 15, 1 ] , [ 19, 12, 24, 1 ] , [ 21, 20, 25, 21 ] , [ 29, 0, 0, 29 ] | |||
30D12 | 180 | 1 | 45 | 4 | 0 | [ 1, 15, 15, 16 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 25, 1 ] , [ 13, 0, 21, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 5, 21 ] | |||
30E12 | 180 | 1 | 45 | 4 | 0 | [ 1, 18, 6, 19 ] , [ 1, 24, 18, 13 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 18, 7 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 5, 21 ] , [ 21, 20, 25, 21 ] | |||
30F12 | 180 | 1 | 60 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 9, 10, 20, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 22, 19 ] | |||
30G12 | 180 | 1 | 90 | 4 | 0 | [ 7, 0, 9, 13 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 4, 13 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 19 ] | |||
30H12 | 180 | 2 | 60 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 5, 28, 8, 9 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A12 | 192 | 1 | 48 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 7, 28, 4, 7 ] , [ 17, 16, 16, 17 ] , [ 25, 24, 24, 9 ] , [ 28, 3, 5, 28 ] , [ 28, 13, 11, 28 ] , [ 31, 24, 8, 31 ] | |||
32B12 | 192 | 1 | 48 | 4 | 0 | [ 1, 8, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 7, 28, 20, 7 ] , [ 12, 3, 5, 28 ] , [ 15, 4, 28, 31 ] , [ 17, 16, 16, 17 ] , [ 24, 11, 29, 24 ] , [ 25, 24, 24, 9 ] , [ 31, 24, 8, 31 ] | |||
32C12 | 192 | 2 | 48 | 4 | 0 | [ 0, 5, 19, 0 ] , [ 5, 8, 0, 13 ] , [ 9, 8, 8, 25 ] , [ 9, 16, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 17 ] , [ 24, 5, 19, 24 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 8, 31 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A12 | 210 | 2 | 70 | 6 | 6 | [ 6, 0, 0, 6 ] , [ 13, 27, 1, 21 ] , [ 15, 21, 14, 15 ] , [ 15, 28, 28, 15 ] , [ 21, 10, 30, 21 ] , [ 26, 5, 20, 16 ] , [ 29, 0, 0, 29 ] | |||
35B12 | 252 | 1 | 126 | 16 | 0 | [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 21, 25, 5, 21 ] , [ 26, 15, 10, 26 ] , [ 33, 30, 29, 2 ] , [ 34, 0, 0, 34 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A12 | 216 | 1 | 54 | 4 | 0 | [ 1, 12, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] , [ 35, 2, 17, 1 ] | |||
36B12 | 216 | 1 | 54 | 4 | 0 | [ 1, 12, 0, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] , [ 35, 2, 35, 1 ] | |||
36C12 | 216 | 1 | 108 | 4 | 0 | [ 1, 24, 12, 1 ] , [ 3, 34, 23, 21 ] , [ 19, 0, 0, 19 ] , [ 21, 16, 14, 21 ] , [ 25, 0, 0, 13 ] , [ 35, 24, 12, 35 ] | |||
36D12 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 17, 24, 12, 17 ] , [ 19, 0, 0, 19 ] , [ 21, 16, 32, 21 ] , [ 28, 15, 21, 28 ] | |||
36E12 | 216 | 2 | 54 | 16 | 0 | [ 1, 12, 24, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 23, 34, 31, 13 ] , [ 25, 0, 12, 13 ] , [ 27, 4, 2, 15 ] | |||
36F12 | 216 | 2 | 54 | 16 | 0 | [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 20, 1, 31, 16 ] , [ 28, 13, 19, 32 ] , [ 29, 12, 12, 5 ] | |||
36G12 | 216 | 2 | 108 | 16 | 0 | [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 19, 25, 8 ] , [ 29, 28, 4, 25 ] | |||
36H12 | 216 | 2 | 216 | 16 | 0 | [ 5, 24, 24, 29 ] , [ 9, 20, 4, 9 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 20, 1, 31, 16 ] , [ 34, 27, 3, 13 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A12 | 180 | 1 | 45 | 4 | 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 ] , [ 38, 15, 37, 22 ] , [ 38, 31, 5, 22 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A12 | 168 | 1 | 56 | 0 | 3 | [ 1, 14, 14, 29 ] , [ 1, 21, 35, 22 ] , [ 13, 0, 0, 13 ] , [ 25, 12, 0, 37 ] , [ 25, 36, 18, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 14, 1 ] , [ 29, 28, 28, 1 ] | |||
42B12 | 168 | 1 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 21, 21, 8 ] , [ 35, 19, 18, 35 ] | |||
42C12 | 168 | 1 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 21, 21, 22 ] , [ 7, 26, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 21, 21, 8 ] | |||
42D12 | 168 | 2 | 28 | 0 | 0 | [ 1, 28, 0, 1 ] , [ 7, 30, 24, 7 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 25, 36, 18, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 0, 18, 25 ] | |||
42E12 | 168 | 2 | 56 | 0 | 3 | [ 1, 7, 21, 22 ] , [ 7, 30, 24, 7 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 0, 18, 25 ] , [ 37, 12, 24, 1 ] | |||
42F12 | 168 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 21, 21, 22 ] , [ 5, 9, 18, 41 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 21, 21, 8 ] , [ 35, 19, 18, 35 ] | |||
42G12 | 168 | 2 | 84 | 0 | 0 | [ 1, 28, 0, 1 ] , [ 7, 30, 24, 7 ] , [ 11, 15, 18, 17 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 0, 18, 25 ] | |||
42H12 | 192 | 2 | 64 | 0 | 3 | [ 13, 0, 0, 13 ] , [ 13, 18, 6, 31 ] , [ 19, 12, 40, 1 ] , [ 22, 9, 9, 19 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A12 | 180 | 1 | 30 | 0 | 0 | [ 10, 9, 36, 19 ] , [ 16, 15, 0, 31 ] , [ 16, 15, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 37, 0, 18, 28 ] , [ 41, 15, 0, 11 ] | |||
45B12 | 180 | 1 | 60 | 0 | 0 | [ 1, 25, 0, 1 ] , [ 1, 30, 0, 1 ] , [ 10, 9, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 26, 30, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] | |||
45C12 | 180 | 1 | 60 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 10, 34, 36, 19 ] , [ 16, 35, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 30, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] | |||
45D12 | 180 | 1 | 60 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 10, 34, 36, 19 ] , [ 16, 40, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 30, 0, 26 ] , [ 37, 0, 18, 28 ] , [ 37, 9, 0, 28 ] | |||
45E12 | 180 | 1 | 60 | 0 | 0 | [ 10, 24, 21, 19 ] , [ 14, 21, 39, 20 ] , [ 16, 15, 0, 31 ] , [ 16, 15, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 28, 36, 0, 37 ] , [ 37, 0, 18, 28 ] | |||
45F12 | 180 | 1 | 90 | 8 | 0 | [ 10, 27, 27, 19 ] , [ 11, 5, 35, 16 ] , [ 11, 15, 15, 41 ] , [ 16, 0, 15, 31 ] , [ 23, 31, 10, 37 ] , [ 31, 15, 15, 16 ] , [ 44, 0, 0, 44 ] | |||
45G12 | 180 | 1 | 180 | 8 | 0 | [ 1, 15, 30, 1 ] , [ 5, 12, 12, 29 ] , [ 13, 31, 25, 32 ] , [ 19, 0, 0, 19 ] , [ 20, 37, 7, 4 ] , [ 31, 0, 15, 16 ] , [ 34, 18, 33, 40 ] | |||
45H12 | 240 | 1 | 80 | 0 | 3 | [ 1, 0, 25, 1 ] , [ 16, 0, 0, 31 ] , [ 16, 0, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 33, 18, 10 ] , [ 35, 33, 18, 26 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A12 | 192 | 2 | 32 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 33, 16, 32, 33 ] , [ 34, 3, 3, 13 ] , [ 47, 0, 0, 47 ] | |||
48B12 | 192 | 2 | 96 | 12 | 0 | [ 0, 1, 47, 24 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 32, 1, 31, 16 ] , [ 33, 16, 32, 33 ] , [ 34, 3, 3, 13 ] , [ 47, 0, 0, 47 ] | |||
^ | Level 49 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/49Z) Matrix Generators |
49A12 | 168 | 1 | 24 | 0 | 0 | [ 8, 0, 14, 43 ] , [ 11, 11, 24, 33 ] , [ 15, 42, 21, 36 ] , [ 48, 0, 0, 48 ] | |||
49B12 | 168 | 1 | 24 | 0 | 0 | [ 8, 0, 14, 43 ] , [ 15, 42, 21, 36 ] , [ 25, 25, 38, 40 ] , [ 48, 0, 0, 48 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A12 | 180 | 1 | 18 | 0 | 0 | [ 5, 22, 22, 17 ] , [ 7, 8, 13, 15 ] , [ 9, 44, 24, 23 ] , [ 21, 10, 10, 31 ] , [ 39, 0, 40, 9 ] , [ 41, 0, 40, 11 ] | |||
50B12 | 180 | 1 | 18 | 0 | 0 | [ 15, 32, 22, 47 ] , [ 19, 4, 34, 23 ] , [ 21, 10, 10, 31 ] , [ 31, 30, 0, 21 ] , [ 43, 46, 11, 49 ] , [ 49, 0, 0, 49 ] | |||
50C12 | 180 | 1 | 18 | 0 | 0 | [ 3, 46, 6, 9 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 23, 32, 22, 35 ] , [ 31, 0, 30, 21 ] , [ 33, 22, 17, 25 ] , [ 35, 2, 22, 7 ] , [ 35, 22, 2, 7 ] | |||
50D12 | 180 | 1 | 18 | 0 | 0 | [ 7, 28, 33, 25 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] , [ 35, 32, 42, 47 ] , [ 49, 20, 5, 49 ] , [ 49, 40, 10, 49 ] | |||
50E12 | 180 | 1 | 90 | 4 | 0 | [ 5, 22, 22, 17 ] , [ 9, 44, 24, 23 ] , [ 21, 10, 10, 31 ] , [ 39, 0, 40, 9 ] , [ 41, 0, 40, 11 ] , [ 45, 44, 21, 15 ] | |||
50F12 | 180 | 1 | 90 | 4 | 0 | [ 15, 32, 22, 47 ] , [ 19, 4, 34, 23 ] , [ 21, 10, 10, 31 ] , [ 25, 36, 9, 45 ] , [ 31, 30, 0, 21 ] , [ 49, 0, 0, 49 ] | |||
50G12 | 180 | 1 | 90 | 4 | 0 | [ 3, 46, 6, 9 ] , [ 19, 28, 11, 11 ] , [ 19, 40, 30, 29 ] , [ 21, 10, 10, 31 ] , [ 23, 32, 22, 35 ] , [ 31, 0, 30, 21 ] , [ 35, 2, 22, 7 ] , [ 35, 22, 2, 7 ] | |||
50H12 | 180 | 1 | 90 | 4 | 0 | [ 5, 32, 12, 27 ] , [ 21, 10, 10, 31 ] , [ 21, 20, 0, 31 ] , [ 35, 32, 42, 47 ] , [ 47, 40, 27, 23 ] , [ 49, 40, 10, 49 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A12 | 168 | 2 | 21 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 15, 14, 0, 15 ] , [ 17, 24, 48, 25 ] , [ 23, 54, 52, 15 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] , [ 51, 54, 52, 43 ] | |||
56B12 | 168 | 2 | 21 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 16, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 54, 24, 15 ] , [ 29, 0, 0, 29 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56C12 | 168 | 2 | 42 | 0 | 0 | [ 5, 50, 16, 37 ] , [ 9, 16, 0, 25 ] , [ 9, 19, 52, 29 ] , [ 15, 42, 0, 15 ] , [ 25, 32, 8, 17 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 28, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56D12 | 168 | 2 | 42 | 4 | 0 | [ 1, 7, 42, 15 ] , [ 1, 28, 0, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 34, 40, 31 ] , [ 25, 0, 24, 9 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56E12 | 168 | 2 | 42 | 4 | 0 | [ 9, 24, 36, 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 ] | |||
56F12 | 168 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 9, 47, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 17, 24, 48, 25 ] , [ 25, 40, 0, 9 ] , [ 29, 7, 0, 29 ] , [ 41, 0, 0, 41 ] | |||
56G12 | 168 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 9, 40, 24, 1 ] , [ 9, 48, 40, 33 ] , [ 15, 42, 0, 15 ] , [ 17, 24, 48, 25 ] , [ 25, 40, 0, 9 ] , [ 29, 7, 0, 29 ] , [ 41, 0, 0, 41 ] | |||
56H12 | 168 | 2 | 84 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 14, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 15, 14, 0, 15 ] , [ 17, 24, 48, 25 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] , [ 51, 54, 52, 43 ] | |||
56I12 | 168 | 2 | 84 | 0 | 0 | [ 1, 16, 32, 9 ] , [ 9, 0, 32, 25 ] , [ 17, 24, 48, 25 ] , [ 23, 40, 24, 15 ] , [ 23, 54, 52, 15 ] , [ 29, 0, 28, 29 ] , [ 33, 36, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ] | |||
56J12 | 168 | 2 | 84 | 6 | 0 | [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 37, 24, 8, 37 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ] | |||
56K12 | 168 | 2 | 84 | 6 | 0 | [ 9, 24, 8, 9 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 8, 48, 41 ] , [ 49, 40, 32, 49 ] | |||
56L12 | 192 | 1 | 96 | 0 | 0 | [ 9, 16, 16, 41 ] , [ 9, 40, 32, 49 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 28, 29 ] , [ 29, 28, 28, 29 ] , [ 41, 46, 13, 31 ] , [ 49, 8, 48, 41 ] | |||
^ | Level 58 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/58Z) Matrix Generators |
58A12 | 180 | 1 | 90 | 0 | 0 | [ 1, 0, 29, 1 ] , [ 33, 46, 8, 27 ] , [ 57, 0, 0, 57 ] , [ 57, 10, 2, 37 ] | |||
58B12 | 180 | 1 | 90 | 4 | 0 | [ 33, 46, 8, 27 ] , [ 51, 18, 23, 7 ] , [ 57, 0, 0, 57 ] , [ 57, 10, 2, 37 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A12 | 160 | 1 | 160 | 0 | 1 | [ 1, 0, 20, 1 ] , [ 1, 30, 15, 31 ] , [ 31, 0, 0, 31 ] , [ 31, 45, 15, 16 ] , [ 37, 24, 20, 13 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 40, 49 ] , [ 49, 48, 48, 25 ] | |||
60B12 | 180 | 1 | 45 | 4 | 0 | [ 1, 0, 30, 1 ] , [ 1, 24, 48, 13 ] , [ 1, 48, 36, 49 ] , [ 13, 0, 48, 37 ] , [ 21, 50, 25, 51 ] , [ 21, 50, 40, 21 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] | |||
60C12 | 180 | 1 | 45 | 8 | 0 | [ 1, 0, 30, 1 ] , [ 1, 10, 55, 11 ] , [ 1, 20, 20, 41 ] , [ 17, 36, 0, 53 ] , [ 25, 36, 24, 49 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 59, 12, 54, 11 ] | |||
60D12 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 30, 1 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 31, 0, 45, 31 ] , [ 37, 30, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 40, 1 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
60E12 | 180 | 1 | 90 | 8 | 0 | [ 1, 0, 30, 1 ] , [ 11, 40, 25, 31 ] , [ 25, 12, 12, 49 ] , [ 31, 0, 30, 31 ] , [ 37, 30, 54, 13 ] , [ 41, 0, 0, 41 ] , [ 41, 10, 40, 1 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] | |||
^ | Level 61 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/61Z) Matrix Generators |
61A12 | 186 | 1 | 62 | 6 | 0 | [ 21, 32, 18, 42 ] , [ 30, 18, 25, 13 ] , [ 31, 43, 36, 48 ] , [ 43, 46, 3, 16 ] , [ 51, 19, 45, 12 ] , [ 51, 59, 4, 19 ] , [ 53, 10, 59, 10 ] | |||
^ | Level 62 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/62Z) Matrix Generators |
62A12 | 192 | 1 | 64 | 0 | 6 | [ 13, 34, 14, 51 ] , [ 18, 11, 59, 43 ] , [ 19, 58, 18, 55 ] , [ 61, 0, 0, 61 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A12 | 168 | 2 | 56 | 0 | 3 | [ 6, 55, 29, 14 ] , [ 10, 36, 18, 46 ] , [ 15, 49, 14, 8 ] , [ 19, 54, 27, 37 ] , [ 22, 42, 21, 43 ] , [ 42, 29, 34, 13 ] , [ 43, 0, 21, 22 ] , [ 46, 6, 24, 10 ] , [ 48, 49, 35, 20 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 15, 28 ] | |||
63B12 | 189 | 2 | 189 | 9 | 3 | [ 1, 18, 45, 55 ] , [ 8, 0, 0, 8 ] , [ 10, 36, 18, 46 ] , [ 20, 17, 25, 15 ] , [ 22, 21, 35, 22 ] , [ 28, 36, 27, 55 ] , [ 28, 45, 9, 28 ] , [ 36, 7, 14, 36 ] , [ 43, 49, 28, 29 ] , [ 55, 0, 0, 55 ] | |||
^ | Level 65 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/65Z) Matrix Generators |
65A12 | 210 | 1 | 70 | 6 | 6 | [ 13, 21, 47, 56 ] , [ 14, 0, 0, 14 ] , [ 31, 55, 25, 36 ] , [ 40, 52, 52, 40 ] , [ 51, 19, 58, 28 ] , [ 53, 0, 0, 27 ] , [ 63, 6, 32, 1 ] | |||
65B12 | 210 | 1 | 70 | 6 | 6 | [ 14, 0, 0, 14 ] , [ 26, 34, 8, 43 ] , [ 31, 55, 25, 36 ] , [ 38, 6, 32, 41 ] , [ 40, 52, 52, 40 ] , [ 53, 0, 0, 27 ] , [ 53, 46, 7, 11 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A12 | 144 | 1 | 36 | 0 | 0 | [ 1, 48, 24, 1 ] , [ 9, 40, 56, 57 ] , [ 13, 68, 32, 29 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] , [ 41, 64, 64, 49 ] , [ 49, 0, 48, 25 ] , [ 49, 36, 12, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 48, 41 ] | |||
72B12 | 144 | 1 | 36 | 0 | 0 | [ 1, 24, 48, 1 ] , [ 1, 36, 36, 1 ] , [ 1, 64, 16, 17 ] , [ 9, 40, 20, 57 ] , [ 17, 24, 48, 17 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 46, 63, 27, 1 ] , [ 55, 0, 0, 55 ] , [ 55, 48, 24, 55 ] | |||
72C12 | 144 | 2 | 36 | 0 | 0 | [ 1, 36, 36, 1 ] , [ 1, 48, 24, 1 ] , [ 10, 63, 63, 37 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 36, 19 ] , [ 33, 32, 16, 57 ] , [ 37, 0, 36, 37 ] , [ 41, 64, 28, 49 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 4, 41 ] , [ 55, 0, 0, 55 ] , [ 71, 0, 0, 71 ] | |||
72D12 | 216 | 1 | 54 | 4 | 0 | [ 1, 0, 36, 1 ] , [ 1, 22, 46, 5 ] , [ 5, 60, 60, 29 ] , [ 7, 60, 18, 31 ] , [ 25, 24, 0, 49 ] , [ 25, 24, 24, 49 ] , [ 25, 24, 66, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 37, 0, 60, 37 ] , [ 65, 12, 48, 41 ] , [ 65, 48, 3, 41 ] | |||
72E12 | 216 | 1 | 54 | 4 | 0 | [ 1, 0, 36, 1 ] , [ 5, 60, 60, 29 ] , [ 7, 60, 18, 31 ] , [ 25, 24, 0, 49 ] , [ 25, 24, 24, 49 ] , [ 25, 24, 66, 49 ] , [ 37, 0, 0, 37 ] , [ 37, 0, 36, 37 ] , [ 37, 0, 60, 37 ] , [ 41, 14, 14, 61 ] , [ 65, 12, 48, 41 ] , [ 65, 48, 3, 41 ] | |||
72F12 | 216 | 1 | 54 | 20 | 0 | [ 1, 36, 36, 1 ] , [ 9, 8, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 28, 27, 45, 28 ] , [ 37, 36, 36, 37 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] | |||
72G12 | 216 | 1 | 54 | 20 | 0 | [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 5, 36, 24, 29 ] , [ 7, 65, 14, 17 ] , [ 21, 22, 20, 45 ] , [ 23, 60, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 25, 52, 16, 65 ] , [ 37, 36, 0, 37 ] , [ 55, 0, 0, 55 ] , [ 61, 2, 68, 53 ] | |||
72H12 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 4, 4, 17 ] , [ 5, 6, 63, 47 ] , [ 5, 68, 8, 37 ] , [ 7, 4, 28, 47 ] , [ 7, 24, 48, 31 ] , [ 13, 4, 58, 29 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] | |||
72I12 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 40, 34, 65 ] , [ 7, 24, 48, 31 ] , [ 13, 40, 28, 53 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 0, 36, 37 ] , [ 41, 42, 3, 47 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] , [ 59, 24, 60, 11 ] | |||
72J12 | 216 | 1 | 108 | 20 | 0 | [ 1, 36, 0, 1 ] , [ 13, 6, 60, 61 ] , [ 15, 23, 34, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 44, 56, 41 ] , [ 25, 48, 48, 49 ] , [ 33, 68, 16, 9 ] , [ 41, 24, 0, 65 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 0, 55 ] , [ 69, 50, 52, 45 ] | |||
72K12 | 216 | 1 | 108 | 20 | 0 | [ 1, 36, 0, 1 ] , [ 13, 6, 60, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 26, 20, 41 ] , [ 25, 48, 48, 49 ] , [ 41, 24, 0, 65 ] , [ 43, 35, 2, 5 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 0, 55 ] , [ 61, 44, 56, 5 ] , [ 69, 68, 16, 45 ] | |||
72L12 | 216 | 2 | 54 | 16 | 0 | [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 7, 14, 27 ] , [ 17, 28, 52, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 31, 38, 68, 23 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 47, 6, 24, 23 ] , [ 49, 24, 24, 25 ] | |||
72M12 | 216 | 2 | 54 | 16 | 0 | [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 7, 14, 27 ] , [ 17, 16, 40, 25 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 31, 26, 56, 47 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 47, 6, 24, 23 ] , [ 49, 24, 24, 25 ] | |||
72N12 | 216 | 2 | 54 | 20 | 0 | [ 1, 32, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 19, 36, 0, 19 ] , [ 25, 20, 32, 17 ] , [ 25, 60, 0, 49 ] , [ 37, 1, 70, 35 ] , [ 37, 36, 0, 37 ] , [ 37, 46, 52, 53 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] | |||
72O12 | 216 | 2 | 108 | 20 | 0 | [ 1, 36, 0, 1 ] , [ 13, 6, 60, 61 ] , [ 15, 23, 34, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 33, 68, 16, 9 ] , [ 41, 24, 0, 65 ] , [ 49, 24, 24, 25 ] , [ 53, 8, 56, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 0, 55 ] , [ 69, 50, 52, 45 ] | |||
^ | Level 75 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/75Z) Matrix Generators |
75A12 | 180 | 1 | 90 | 8 | 0 | [ 16, 0, 15, 61 ] , [ 26, 35, 65, 1 ] , [ 31, 15, 15, 46 ] , [ 44, 45, 0, 29 ] , [ 56, 15, 15, 71 ] , [ 63, 58, 5, 57 ] , [ 67, 3, 3, 55 ] | |||
75B12 | 180 | 1 | 90 | 8 | 0 | [ 16, 15, 0, 61 ] , [ 26, 55, 70, 1 ] , [ 43, 6, 51, 49 ] , [ 56, 62, 14, 49 ] , [ 61, 30, 30, 16 ] , [ 64, 60, 30, 34 ] , [ 74, 69, 24, 68 ] | |||
75C12 | 180 | 1 | 90 | 8 | 0 | [ 22, 18, 48, 70 ] , [ 26, 0, 0, 26 ] , [ 31, 0, 30, 46 ] , [ 31, 15, 15, 46 ] , [ 34, 43, 1, 41 ] , [ 34, 45, 15, 64 ] , [ 49, 23, 56, 11 ] | |||
75D12 | 180 | 1 | 90 | 8 | 0 | [ 0, 29, 31, 15 ] , [ 16, 15, 0, 61 ] , [ 20, 12, 72, 62 ] , [ 25, 27, 12, 7 ] , [ 46, 60, 60, 31 ] , [ 49, 60, 15, 49 ] , [ 64, 64, 49, 8 ] | |||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A12 | 168 | 2 | 84 | 0 | 0 | [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 0, 29 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ] , [ 53, 15, 18, 59 ] | |||
84B12 | 168 | 2 | 84 | 0 | 0 | [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 25, 36, 60, 73 ] , [ 25, 60, 36, 73 ] , [ 29, 63, 0, 29 ] , [ 37, 0, 60, 25 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 49 ] | |||
^ | Level 87 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/87Z) Matrix Generators |
87A12 | 180 | 1 | 90 | 8 | 0 | [ 28, 0, 0, 28 ] , [ 42, 25, 86, 45 ] , [ 55, 54, 12, 64 ] , [ 59, 0, 0, 59 ] , [ 71, 25, 28, 16 ] , [ 76, 48, 84, 13 ] | |||
^ | Level 88 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/88Z) Matrix Generators |
88A12 | 176 | 2 | 44 | 0 | 8 | [ 1, 44, 44, 1 ] , [ 23, 44, 44, 23 ] , [ 39, 48, 72, 39 ] , [ 45, 11, 11, 34 ] , [ 45, 44, 0, 45 ] , [ 49, 20, 68, 17 ] , [ 65, 0, 0, 65 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A12 | 180 | 1 | 15 | 12 | 0 | [ 1, 18, 36, 19 ] , [ 1, 60, 30, 1 ] , [ 11, 0, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 60, 31 ] , [ 67, 18, 66, 7 ] , [ 71, 0, 0, 71 ] , [ 71, 20, 35, 1 ] , [ 73, 0, 18, 37 ] | |||
90B12 | 180 | 1 | 30 | 12 | 0 | [ 7, 18, 66, 67 ] , [ 9, 10, 35, 9 ] , [ 17, 78, 66, 17 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 61, 0, 0, 31 ] , [ 61, 45, 45, 76 ] , [ 61, 60, 60, 31 ] , [ 73, 0, 18, 37 ] | |||
90C12 | 180 | 1 | 60 | 0 | 0 | [ 1, 0, 45, 1 ] , [ 1, 30, 0, 1 ] , [ 1, 70, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 37, 0, 18, 73 ] , [ 37, 54, 0, 73 ] , [ 41, 30, 0, 11 ] , [ 55, 54, 36, 19 ] , [ 61, 0, 0, 31 ] | |||
90D12 | 180 | 1 | 90 | 12 | 0 | [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 32 ] , [ 61, 0, 60, 31 ] , [ 68, 31, 55, 37 ] , [ 89, 45, 45, 44 ] | |||
90E12 | 180 | 2 | 60 | 0 | 0 | [ 1, 0, 45, 1 ] , [ 1, 70, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 55, 54, 66, 19 ] , [ 59, 66, 84, 65 ] , [ 61, 0, 0, 31 ] , [ 73, 36, 0, 37 ] | |||
^ | Level 91 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/91Z) Matrix Generators |
91A12 | 196 | 2 | 98 | 8 | 4 | [ 14, 78, 13, 14 ] , [ 18, 44, 2, 10 ] , [ 27, 0, 0, 27 ] , [ 66, 26, 26, 53 ] , [ 66, 78, 0, 40 ] , [ 71, 17, 59, 59 ] , [ 72, 70, 64, 18 ] , [ 90, 0, 0, 90 ] | |||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A12 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 48, 1 ] , [ 33, 32, 64, 33 ] , [ 41, 72, 36, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 72, 49 ] , [ 63, 92, 70, 87 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 73, 48, 72, 25 ] , [ 79, 82, 1, 29 ] , [ 83, 24, 12, 59 ] , [ 85, 48, 72, 61 ] | |||
96B12 | 144 | 1 | 24 | 0 | 0 | [ 1, 0, 48, 1 ] , [ 33, 32, 64, 33 ] , [ 41, 72, 36, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 72, 49 ] , [ 63, 92, 94, 87 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 73, 48, 72, 25 ] , [ 75, 92, 46, 27 ] , [ 79, 82, 1, 29 ] , [ 83, 24, 12, 59 ] | |||
96C12 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 48, 1 ] , [ 31, 28, 70, 23 ] , [ 41, 72, 36, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 72, 49 ] , [ 63, 92, 94, 87 ] , [ 65, 0, 0, 65 ] , [ 73, 48, 72, 25 ] , [ 75, 92, 46, 27 ] , [ 79, 82, 1, 29 ] , [ 83, 24, 12, 59 ] , [ 95, 60, 6, 23 ] | |||
96D12 | 144 | 1 | 72 | 0 | 0 | [ 1, 0, 48, 1 ] , [ 31, 28, 70, 23 ] , [ 33, 32, 64, 33 ] , [ 41, 72, 36, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 72, 49 ] , [ 63, 92, 94, 87 ] , [ 65, 0, 0, 65 ] , [ 73, 48, 72, 25 ] , [ 75, 92, 46, 27 ] , [ 79, 82, 1, 29 ] , [ 83, 24, 12, 59 ] | |||
^ | Level 99 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/99Z) Matrix Generators |
99A12 | 198 | 2 | 33 | 18 | 0 | [ 1, 11, 44, 89 ] , [ 1, 66, 33, 1 ] , [ 23, 66, 0, 56 ] , [ 34, 0, 66, 67 ] , [ 43, 17, 95, 56 ] , [ 94, 36, 96, 61 ] , [ 98, 0, 0, 98 ] | |||
^ | Level 100 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/100Z) Matrix Generators |
100A12 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 50, 1 ] , [ 5, 72, 72, 17 ] , [ 7, 8, 13, 15 ] , [ 21, 60, 60, 81 ] , [ 29, 86, 68, 81 ] , [ 41, 0, 40, 61 ] , [ 51, 0, 50, 51 ] , [ 89, 0, 40, 9 ] | |||
100B12 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 50, 1 ] , [ 17, 30, 12, 33 ] , [ 21, 60, 60, 81 ] , [ 25, 86, 59, 95 ] , [ 49, 0, 0, 49 ] , [ 51, 0, 50, 51 ] , [ 65, 32, 72, 97 ] , [ 81, 80, 0, 21 ] | |||
100C12 | 180 | 1 | 90 | 4 | 0 | [ 3, 96, 6, 59 ] , [ 21, 60, 60, 81 ] , [ 51, 0, 50, 51 ] , [ 69, 40, 80, 29 ] , [ 69, 78, 11, 11 ] , [ 73, 32, 22, 85 ] , [ 81, 0, 80, 21 ] , [ 83, 72, 67, 75 ] , [ 85, 52, 72, 57 ] , [ 85, 72, 52, 57 ] | |||
100D12 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 50, 1 ] , [ 5, 86, 84, 5 ] , [ 21, 20, 0, 81 ] , [ 21, 60, 60, 81 ] , [ 49, 20, 5, 49 ] , [ 49, 40, 60, 49 ] , [ 51, 0, 50, 51 ] , [ 85, 32, 92, 97 ] | |||
^ | Level 106 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/106Z) Matrix Generators |
106A12 | Γ0(106) | 162 | 1 | 162 | 2 | 0 | [ 1, 0, 53, 1 ] , [ 1, 64, 48, 105 ] , [ 19, 104, 52, 95 ] , [ 47, 30, 92, 61 ] , [ 105, 0, 0, 105 ] | ||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A12 | 144 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 54, 54, 1 ] , [ 37, 0, 72, 73 ] , [ 55, 27, 81, 28 ] , [ 55, 54, 0, 55 ] , [ 73, 0, 0, 37 ] , [ 73, 36, 12, 37 ] , [ 73, 84, 104, 25 ] , [ 97, 0, 24, 49 ] , [ 107, 0, 0, 107 ] | |||
108B12 | 144 | 1 | 48 | 0 | 0 | [ 1, 0, 72, 1 ] , [ 49, 0, 48, 97 ] , [ 55, 0, 0, 55 ] , [ 55, 81, 27, 28 ] , [ 73, 0, 36, 37 ] , [ 73, 0, 72, 37 ] , [ 73, 72, 60, 37 ] , [ 82, 27, 81, 82 ] , [ 97, 12, 32, 73 ] , [ 107, 0, 0, 107 ] | |||
^ | Level 112 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/112Z) Matrix Generators |
112A12 | 168 | 2 | 21 | 8 | 0 | [ 1, 56, 0, 1 ] , [ 1, 63, 98, 15 ] , [ 1, 111, 26, 87 ] , [ 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 ] , [ 85, 7, 42, 43 ] , [ 97, 0, 0, 97 ] | |||
112B12 | 168 | 2 | 42 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 15, 98, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 29, 84, 0, 85 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 79, 82, 24, 15 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ] | |||
112C12 | 168 | 2 | 42 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 15, 98, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 29, 84, 0, 85 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ] | |||
112D12 | 168 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 15, 98, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 79, 82, 24, 15 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ] , [ 99, 70, 56, 43 ] | |||
112E12 | 168 | 2 | 84 | 0 | 0 | [ 1, 14, 0, 1 ] , [ 1, 28, 0, 1 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 15, 98, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 81, 96, 0, 65 ] , [ 97, 0, 0, 97 ] , [ 99, 70, 56, 43 ] | |||
112F12 | 168 | 2 | 84 | 6 | 0 | [ 1, 28, 0, 1 ] , [ 1, 63, 42, 71 ] , [ 15, 42, 56, 15 ] , [ 15, 90, 96, 31 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 71, 56, 0, 71 ] , [ 81, 0, 80, 65 ] , [ 85, 0, 56, 29 ] , [ 97, 0, 0, 97 ] | |||
112G12 | 168 | 2 | 84 | 6 | 0 | [ 1, 28, 0, 1 ] , [ 1, 48, 96, 17 ] , [ 1, 63, 42, 71 ] , [ 15, 42, 56, 15 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 0, 57 ] , [ 65, 48, 96, 33 ] , [ 71, 56, 0, 71 ] , [ 81, 0, 80, 65 ] , [ 85, 0, 56, 29 ] , [ 97, 0, 0, 97 ] | |||
112H12 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 1, 16, 86, 33 ] , [ 33, 64, 32, 1 ] , [ 51, 40, 60, 91 ] , [ 57, 0, 0, 57 ] , [ 65, 48, 80, 97 ] , [ 65, 96, 60, 49 ] , [ 65, 110, 53, 7 ] , [ 81, 64, 96, 33 ] , [ 85, 56, 56, 29 ] | |||
^ | Level 116 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/116Z) Matrix Generators |
116A12 | 180 | 1 | 90 | 4 | 0 | [ 1, 0, 58, 1 ] , [ 33, 104, 8, 85 ] , [ 57, 0, 0, 57 ] , [ 57, 68, 60, 37 ] , [ 59, 0, 58, 59 ] , [ 109, 18, 52, 65 ] , [ 109, 18, 81, 7 ] | |||
^ | Level 117 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/117Z) Matrix Generators |
117A12 | 168 | 2 | 56 | 0 | 3 | [ 1, 78, 0, 1 ] , [ 20, 45, 9, 32 ] , [ 40, 20, 72, 115 ] , [ 40, 46, 33, 76 ] , [ 55, 45, 99, 64 ] , [ 79, 0, 0, 40 ] , [ 92, 39, 0, 14 ] , [ 103, 0, 0, 25 ] | |||
^ | Level 120 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/120Z) Matrix Generators |
120A12 | 160 | 2 | 80 | 0 | 4 | [ 1, 60, 60, 1 ] , [ 1, 80, 0, 1 ] , [ 1, 105, 45, 46 ] , [ 41, 100, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 96, 97 ] , [ 73, 48, 24, 1 ] , [ 73, 72, 0, 97 ] , [ 91, 72, 36, 43 ] , [ 97, 102, 111, 19 ] | |||
120B12 | 180 | 1 | 15 | 12 | 0 | [ 1, 0, 60, 1 ] , [ 1, 30, 105, 31 ] , [ 1, 48, 96, 49 ] , [ 1, 60, 30, 1 ] , [ 9, 20, 70, 9 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 110, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ] | |||
120C12 | 180 | 2 | 15 | 12 | 0 | [ 1, 0, 60, 1 ] , [ 1, 30, 105, 31 ] , [ 1, 80, 80, 41 ] , [ 1, 90, 15, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 0, 60, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 80, 40, 81 ] , [ 91, 0, 60, 91 ] , [ 97, 48, 56, 97 ] | |||
^ | Level 125 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/125Z) Matrix Generators |
125A12 | 300 | 1 | 30 | 0 | 0 | [ 16, 5, 80, 111 ] , [ 26, 100, 0, 101 ] , [ 44, 45, 85, 104 ] , [ 54, 26, 66, 48 ] , [ 76, 25, 25, 51 ] , [ 106, 20, 0, 46 ] | |||
125B12 | 300 | 1 | 30 | 0 | 0 | [ 26, 100, 0, 101 ] , [ 44, 45, 85, 104 ] , [ 71, 65, 40, 56 ] , [ 90, 13, 83, 12 ] , [ 101, 75, 75, 26 ] , [ 106, 20, 0, 46 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A12 | 144 | 1 | 72 | 0 | 0 | [ 1, 63, 63, 64 ] , [ 29, 84, 0, 113 ] , [ 55, 18, 90, 73 ] , [ 55, 108, 72, 91 ] , [ 57, 56, 49, 57 ] , [ 71, 28, 7, 1 ] , [ 85, 0, 84, 43 ] , [ 85, 84, 0, 43 ] , [ 125, 0, 0, 125 ] | |||
126B12 | 144 | 1 | 72 | 0 | 0 | [ 1, 63, 63, 64 ] , [ 29, 84, 0, 113 ] , [ 55, 18, 90, 73 ] , [ 55, 108, 72, 91 ] , [ 57, 56, 112, 57 ] , [ 71, 28, 70, 1 ] , [ 85, 0, 84, 43 ] , [ 85, 84, 0, 43 ] , [ 125, 0, 0, 125 ] | |||
126C12 | 144 | 1 | 144 | 0 | 0 | [ 1, 21, 105, 64 ] , [ 15, 14, 70, 57 ] , [ 29, 77, 98, 43 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 72, 91 ] , [ 71, 0, 0, 71 ] , [ 73, 108, 36, 55 ] , [ 85, 42, 42, 43 ] | |||
126D12 | 144 | 2 | 72 | 0 | 0 | [ 1, 63, 63, 64 ] , [ 29, 84, 0, 113 ] , [ 55, 18, 90, 73 ] , [ 55, 108, 72, 91 ] , [ 57, 56, 49, 57 ] , [ 71, 28, 70, 1 ] , [ 85, 0, 84, 43 ] , [ 85, 84, 0, 43 ] , [ 125, 0, 0, 125 ] | |||
126E12 | 168 | 2 | 28 | 0 | 6 | [ 1, 63, 63, 64 ] , [ 1, 84, 0, 1 ] , [ 1, 119, 21, 106 ] , [ 37, 90, 54, 19 ] , [ 43, 63, 63, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 71, 63, 63, 8 ] , [ 73, 54, 108, 73 ] , [ 125, 99, 54, 71 ] | |||
126F12 | 168 | 2 | 28 | 0 | 6 | [ 1, 63, 63, 64 ] , [ 1, 84, 0, 1 ] , [ 1, 119, 21, 106 ] , [ 37, 90, 54, 19 ] , [ 43, 63, 63, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 54, 1 ] , [ 55, 108, 18, 1 ] , [ 71, 63, 63, 8 ] , [ 73, 54, 108, 73 ] | |||
126G12 | 168 | 2 | 56 | 0 | 3 | [ 1, 54, 36, 55 ] , [ 1, 84, 0, 1 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 90, 72, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 56, 0, 43 ] , [ 94, 117, 87, 115 ] , [ 95, 72, 18, 11 ] | |||
126H12 | 189 | 2 | 189 | 15 | 0 | [ 1, 0, 63, 1 ] , [ 43, 56, 56, 29 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 55, 120, 12, 1 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] | |||
126I12 | 192 | 2 | 64 | 0 | 3 | [ 1, 0, 84, 1 ] , [ 1, 27, 45, 82 ] , [ 10, 81, 63, 19 ] , [ 29, 0, 28, 113 ] , [ 37, 54, 18, 91 ] , [ 43, 0, 42, 85 ] , [ 43, 0, 56, 85 ] , [ 85, 6, 108, 61 ] | |||
126J12 | 252 | 2 | 21 | 36 | 0 | [ 1, 18, 108, 55 ] , [ 1, 42, 42, 1 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 120, 12, 1 ] , [ 57, 28, 35, 15 ] , [ 64, 63, 63, 1 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ] | |||
^ | Level 132 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/132Z) Matrix Generators |
132A12 | 144 | 1 | 12 | 0 | 0 | [ 1, 66, 66, 1 ] , [ 23, 66, 0, 23 ] , [ 34, 99, 99, 1 ] , [ 61, 84, 108, 73 ] , [ 67, 0, 66, 67 ] , [ 73, 0, 18, 85 ] , [ 73, 88, 106, 41 ] , [ 73, 120, 12, 121 ] , [ 117, 110, 40, 129 ] | |||
132B12 | 144 | 1 | 24 | 0 | 0 | [ 1, 60, 30, 85 ] , [ 1, 66, 66, 1 ] , [ 23, 88, 22, 67 ] , [ 25, 60, 96, 109 ] , [ 67, 66, 0, 67 ] , [ 73, 120, 12, 121 ] , [ 89, 0, 0, 89 ] , [ 100, 99, 121, 67 ] , [ 111, 110, 88, 111 ] | |||
132C12 | 144 | 1 | 36 | 0 | 0 | [ 1, 66, 66, 1 ] , [ 1, 88, 22, 89 ] , [ 23, 66, 0, 23 ] , [ 34, 99, 99, 1 ] , [ 61, 84, 108, 73 ] , [ 67, 0, 66, 67 ] , [ 73, 0, 18, 85 ] , [ 73, 120, 12, 121 ] , [ 117, 110, 40, 129 ] | |||
132D12 | 144 | 1 | 48 | 0 | 0 | [ 1, 72, 120, 61 ] , [ 45, 88, 44, 45 ] , [ 61, 0, 60, 13 ] , [ 67, 0, 0, 67 ] , [ 67, 66, 99, 1 ] , [ 67, 99, 33, 100 ] , [ 85, 12, 72, 49 ] , [ 89, 0, 0, 89 ] , [ 89, 88, 88, 1 ] | |||
132E12 | 176 | 2 | 44 | 0 | 8 | [ 1, 44, 0, 1 ] , [ 1, 66, 66, 1 ] , [ 23, 88, 0, 23 ] , [ 25, 100, 108, 73 ] , [ 67, 0, 66, 67 ] , [ 83, 9, 57, 38 ] , [ 100, 99, 33, 67 ] , [ 109, 0, 0, 109 ] | |||
132F12 | 198 | 2 | 33 | 18 | 0 | [ 1, 66, 66, 1 ] , [ 50, 81, 39, 50 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 22, 1 ] , [ 89, 44, 44, 1 ] , [ 100, 33, 99, 100 ] , [ 109, 0, 0, 109 ] , [ 130, 85, 31, 2 ] | |||
^ | Level 135 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/135Z) Matrix Generators |
135A12 | 180 | 1 | 60 | 0 | 0 | [ 28, 0, 0, 82 ] , [ 28, 84, 3, 91 ] , [ 31, 6, 12, 133 ] , [ 46, 90, 45, 91 ] , [ 55, 81, 54, 55 ] , [ 91, 0, 45, 46 ] , [ 96, 110, 115, 91 ] , [ 106, 75, 15, 31 ] , [ 109, 0, 0, 109 ] , [ 131, 50, 40, 6 ] | |||
135B12 | 180 | 2 | 60 | 0 | 0 | [ 13, 39, 63, 106 ] , [ 28, 0, 0, 82 ] , [ 28, 84, 3, 91 ] , [ 46, 90, 45, 91 ] , [ 55, 81, 54, 55 ] , [ 83, 119, 13, 126 ] , [ 91, 0, 45, 46 ] , [ 96, 20, 25, 46 ] , [ 106, 75, 15, 31 ] , [ 109, 0, 0, 109 ] | |||
135C12 | 180 | 2 | 60 | 0 | 9 | [ 28, 0, 0, 82 ] , [ 31, 6, 102, 133 ] , [ 31, 105, 75, 106 ] , [ 46, 96, 42, 73 ] , [ 51, 125, 85, 121 ] , [ 55, 81, 54, 55 ] , [ 91, 0, 45, 46 ] , [ 91, 45, 90, 46 ] , [ 109, 0, 0, 109 ] , [ 116, 11, 112, 63 ] | |||
^ | Level 138 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/138Z) Matrix Generators |
138A12 | 144 | 1 | 24 | 0 | 0 | [ 1, 46, 46, 47 ] , [ 1, 69, 69, 70 ] , [ 47, 0, 0, 47 ] , [ 47, 46, 46, 1 ] , [ 55, 135, 51, 70 ] , [ 73, 12, 120, 67 ] , [ 137, 0, 0, 137 ] | |||
138B12 | 144 | 1 | 48 | 0 | 0 | [ 1, 46, 46, 47 ] , [ 1, 69, 23, 70 ] , [ 7, 24, 102, 133 ] , [ 31, 54, 114, 25 ] , [ 31, 132, 18, 1 ] , [ 47, 0, 0, 47 ] , [ 93, 46, 92, 93 ] | |||
138C12 | 144 | 1 | 72 | 0 | 0 | [ 1, 69, 69, 70 ] , [ 47, 0, 0, 47 ] , [ 47, 46, 46, 1 ] , [ 55, 135, 51, 70 ] , [ 73, 12, 120, 67 ] , [ 93, 92, 115, 93 ] , [ 137, 0, 0, 137 ] | |||
^ | Level 140 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/140Z) Matrix Generators |
140A12 | 160 | 1 | 160 | 0 | 4 | [ 1, 105, 105, 106 ] , [ 17, 122, 11, 79 ] , [ 29, 0, 0, 29 ] , [ 51, 104, 92, 119 ] , [ 71, 0, 0, 71 ] , [ 71, 105, 70, 1 ] , [ 81, 60, 80, 61 ] , [ 101, 80, 60, 121 ] , [ 101, 120, 120, 101 ] , [ 113, 0, 56, 57 ] | |||
^ | Level 141 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/141Z) Matrix Generators |
141A12 | 144 | 1 | 48 | 0 | 0 | [ 1, 47, 47, 95 ] , [ 40, 45, 60, 64 ] , [ 93, 47, 94, 93 ] , [ 95, 0, 0, 95 ] , [ 95, 47, 47, 1 ] , [ 109, 42, 105, 34 ] | |||
^ | Level 142 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/142Z) Matrix Generators |
142A12 | 144 | 1 | 72 | 0 | 0 | [ 72, 71, 71, 1 ] , [ 83, 106, 80, 121 ] , [ 89, 118, 6, 67 ] , [ 95, 132, 60, 49 ] , [ 141, 0, 0, 141 ] | |||
^ | Level 144 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/144Z) Matrix Generators |
144A12 | 192 | 2 | 32 | 0 | 12 | [ 1, 72, 72, 1 ] , [ 1, 96, 0, 1 ] , [ 1, 108, 36, 1 ] , [ 1, 112, 96, 97 ] , [ 37, 18, 27, 91 ] , [ 55, 0, 72, 55 ] , [ 73, 72, 0, 73 ] , [ 73, 117, 81, 118 ] , [ 97, 0, 0, 49 ] , [ 109, 36, 72, 37 ] , [ 143, 0, 0, 143 ] | |||
144B12 | 216 | 1 | 27 | 24 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 119, 140, 44, 7 ] , [ 127, 72, 72, 127 ] , [ 136, 117, 99, 136 ] | |||
^ | Level 145 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/145Z) Matrix Generators |
145A12 | 150 | 1 | 150 | 2 | 0 | [ 1, 116, 29, 30 ] , [ 56, 115, 40, 121 ] , [ 59, 0, 0, 59 ] , [ 88, 0, 58, 117 ] , [ 91, 100, 35, 56 ] , [ 106, 70, 100, 51 ] , [ 111, 115, 40, 31 ] , [ 117, 116, 0, 88 ] | |||
^ | Level 149 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/149Z) Matrix Generators |
149A12 | Γ0(149) | 150 | 1 | 150 | 2 | 0 | [ 111, 83, 81, 74 ] , [ 143, 125, 119, 4 ] , [ 148, 0, 0, 148 ] | ||
^ | Level 150 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/150Z) Matrix Generators |
150A12 | 180 | 1 | 30 | 12 | 0 | [ 1, 75, 75, 76 ] , [ 31, 90, 90, 121 ] , [ 67, 78, 78, 55 ] , [ 73, 58, 55, 17 ] , [ 91, 0, 90, 61 ] , [ 101, 110, 140, 1 ] , [ 119, 120, 0, 29 ] , [ 131, 90, 90, 71 ] , [ 131, 130, 100, 121 ] | |||
150B12 | 180 | 1 | 30 | 12 | 0 | [ 1, 75, 75, 76 ] , [ 19, 126, 33, 61 ] , [ 41, 4, 97, 79 ] , [ 43, 6, 126, 49 ] , [ 61, 30, 30, 91 ] , [ 91, 90, 0, 61 ] , [ 131, 62, 89, 49 ] , [ 139, 60, 30, 109 ] , [ 149, 144, 24, 143 ] | |||
150C12 | 180 | 1 | 30 | 12 | 0 | [ 1, 75, 75, 76 ] , [ 19, 138, 21, 121 ] , [ 31, 0, 30, 121 ] , [ 31, 90, 90, 121 ] , [ 61, 100, 10, 41 ] , [ 97, 18, 48, 145 ] , [ 101, 0, 0, 101 ] , [ 109, 120, 90, 139 ] , [ 121, 50, 20, 131 ] | |||
150D12 | 180 | 1 | 30 | 12 | 0 | [ 1, 26, 26, 77 ] , [ 1, 75, 75, 76 ] , [ 19, 118, 31, 11 ] , [ 25, 102, 12, 7 ] , [ 49, 60, 90, 49 ] , [ 91, 90, 0, 61 ] , [ 95, 12, 72, 137 ] , [ 121, 60, 60, 31 ] , [ 145, 114, 141, 145 ] | |||
150E12 | 180 | 1 | 90 | 4 | 0 | [ 31, 90, 90, 121 ] , [ 37, 32, 20, 143 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 75, 1 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 125, 1 ] , [ 119, 0, 120, 29 ] | |||
^ | Level 151 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/151Z) Matrix Generators |
151A12 | Γ0(151) | 152 | 1 | 152 | 0 | 2 | [ 38, 63, 31, 115 ] , [ 43, 70, 98, 142 ] , [ 126, 46, 4, 53 ] , [ 150, 0, 0, 150 ] | ||
^ | Level 152 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/152Z) Matrix Generators |
152A12 | 160 | 2 | 80 | 0 | 4 | [ 1, 76, 76, 1 ] , [ 1, 133, 57, 134 ] , [ 57, 96, 56, 121 ] , [ 73, 16, 32, 57 ] , [ 77, 0, 76, 77 ] , [ 77, 114, 95, 115 ] , [ 115, 0, 76, 115 ] , [ 121, 136, 64, 33 ] , [ 145, 48, 104, 25 ] | |||
^ | Level 154 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/154Z) Matrix Generators |
154A12 | 154 | 2 | 77 | 0 | 4 | [ 23, 88, 132, 23 ] , [ 43, 0, 0, 43 ] , [ 65, 39, 139, 100 ] , [ 67, 88, 22, 45 ] , [ 78, 77, 77, 1 ] , [ 111, 0, 0, 111 ] , [ 127, 140, 14, 127 ] , [ 133, 44, 66, 133 ] , [ 133, 132, 22, 1 ] | |||
154B12 | 154 | 2 | 77 | 0 | 4 | [ 1, 66, 88, 111 ] , [ 1, 77, 77, 78 ] , [ 23, 110, 132, 89 ] , [ 35, 92, 90, 109 ] , [ 45, 0, 22, 89 ] , [ 87, 50, 62, 133 ] , [ 87, 66, 110, 87 ] , [ 111, 0, 0, 111 ] , [ 133, 22, 132, 67 ] | |||
154C12 | 176 | 2 | 88 | 0 | 8 | [ 17, 118, 58, 149 ] , [ 23, 110, 88, 133 ] , [ 78, 77, 77, 1 ] , [ 98, 149, 73, 23 ] , [ 111, 66, 44, 133 ] , [ 133, 132, 22, 1 ] , [ 153, 0, 0, 153 ] | |||
^ | Level 155 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/155Z) Matrix Generators |
155A12 | 160 | 1 | 160 | 0 | 4 | [ 1, 93, 31, 94 ] , [ 16, 145, 80, 76 ] , [ 31, 60, 140, 136 ] , [ 44, 121, 92, 17 ] , [ 46, 50, 130, 111 ] , [ 61, 0, 0, 61 ] , [ 94, 0, 0, 94 ] , [ 137, 90, 92, 48 ] | |||
^ | Level 157 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/157Z) Matrix Generators |
157A12 | Γ0(157) | 158 | 1 | 158 | 2 | 2 | [ 31, 70, 32, 128 ] , [ 74, 134, 146, 118 ] , [ 118, 133, 9, 82 ] , [ 156, 0, 0, 156 ] | ||
^ | Level 158 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/158Z) Matrix Generators |
158A12 | 160 | 1 | 80 | 0 | 4 | [ 43, 60, 90, 155 ] , [ 61, 36, 58, 99 ] , [ 65, 6, 88, 13 ] , [ 80, 79, 79, 1 ] , [ 149, 6, 26, 123 ] | |||
^ | Level 159 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/159Z) Matrix Generators |
159A12 | 162 | 1 | 54 | 6 | 0 | [ 1, 53, 53, 107 ] , [ 1, 106, 106, 107 ] , [ 1, 117, 48, 52 ] , [ 19, 51, 105, 148 ] , [ 52, 0, 0, 52 ] , [ 100, 30, 39, 61 ] , [ 107, 0, 0, 107 ] | |||
^ | Level 165 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/165Z) Matrix Generators |
165A12 | 165 | 2 | 55 | 9 | 0 | [ 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, 132, 99, 67 ] , [ 127, 58, 151, 17 ] , [ 128, 135, 42, 92 ] , [ 164, 0, 0, 164 ] | |||
165B12 | 198 | 2 | 66 | 18 | 0 | [ 1, 99, 0, 1 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 56, 110, 110, 1 ] , [ 67, 99, 0, 133 ] , [ 109, 55, 55, 164 ] , [ 111, 110, 55, 111 ] , [ 139, 135, 75, 4 ] , [ 142, 24, 60, 88 ] | |||
^ | Level 168 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/168Z) Matrix Generators |
168A12 | 252 | 2 | 21 | 36 | 0 | [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 72, 144, 97 ] , [ 145, 120, 72, 121 ] , [ 155, 0, 84, 155 ] , [ 155, 98, 35, 85 ] | |||
^ | Level 172 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/172Z) Matrix Generators |
172A12 | 176 | 1 | 44 | 0 | 8 | [ 1, 86, 86, 1 ] , [ 5, 144, 104, 37 ] , [ 13, 76, 160, 49 ] , [ 41, 136, 140, 133 ] , [ 44, 129, 43, 87 ] , [ 85, 0, 86, 85 ] , [ 87, 86, 0, 87 ] | |||
^ | Level 174 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/174Z) Matrix Generators |
174A12 | 180 | 1 | 30 | 12 | 0 | [ 1, 87, 87, 88 ] , [ 13, 54, 57, 103 ] , [ 55, 54, 12, 151 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 58, 1 ] , [ 115, 0, 0, 115 ] , [ 117, 58, 116, 117 ] , [ 163, 48, 84, 13 ] | |||
^ | Level 180 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/180Z) Matrix Generators |
180A12 | 240 | 1 | 20 | 0 | 24 | [ 1, 90, 90, 1 ] , [ 1, 120, 0, 1 ] , [ 37, 0, 108, 73 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 36, 144, 145 ] , [ 109, 108, 36, 1 ] , [ 113, 40, 42, 77 ] , [ 121, 0, 0, 61 ] , [ 121, 140, 120, 121 ] , [ 136, 45, 135, 91 ] | |||
^ | Level 182 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/182Z) Matrix Generators |
182A12 | 196 | 2 | 98 | 12 | 4 | [ 19, 95, 46, 163 ] , [ 27, 0, 0, 27 ] , [ 53, 130, 78, 157 ] , [ 92, 91, 91, 1 ] , [ 105, 78, 104, 105 ] , [ 109, 44, 2, 101 ] , [ 157, 26, 26, 53 ] , [ 157, 78, 0, 131 ] , [ 163, 70, 64, 109 ] , [ 181, 0, 0, 181 ] | |||
^ | Level 210 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/210Z) Matrix Generators |
210A12 | 252 | 2 | 42 | 36 | 0 | [ 1, 150, 60, 181 ] , [ 31, 180, 150, 31 ] , [ 41, 40, 190, 1 ] , [ 51, 50, 100, 201 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 180, 1 ] , [ 187, 90, 159, 163 ] |