[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:
13
15
18
21
22
24
25
26
27
28
30
35
36
37
38
39
40
42
44
45
48
50
52
54
55
56
57
60
61
62
63
66
70
72
74
76
78
80
81
84
90
96
101
105
108
109
111
112
117
120
125
126
130
132
134
140
144
148
150
152
156
160
162
168
169
175
176
180
184
186
188
191
195
197
199
201
202
203
206
210
218
220
222
228
234
243
^ | Level 13 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/13Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
13A16 | 364 | 1 | 91 | 0 | 4 | [ 1, 1, 10, 11 ] , [ 12, 0, 0, 12 ] | |||
^ | Level 15 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/15Z) Matrix Generators |
15A16 | 360 | 2 | 60 | 12 | 0 | [ 6, 8, 1, 9 ] , [ 13, 4, 10, 2 ] , [ 14, 0, 0, 14 ] | |||
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
18A16 | 324 | 1 | 9 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 7, 12, 12, 13 ] , [ 17, 0, 0, 17 ] | |||
18B16 | 324 | 1 | 18 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18C16 | 324 | 1 | 27 | 12 | 0 | [ 1, 9, 9, 10 ] , [ 4, 1, 1, 14 ] , [ 17, 0, 0, 17 ] | |||
18D16 | 324 | 1 | 54 | 12 | 0 | [ 7, 12, 0, 13 ] , [ 11, 10, 13, 7 ] , [ 17, 0, 0, 17 ] | |||
18E16 | 324 | 1 | 108 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 12, 2, 7 ] , [ 17, 0, 0, 17 ] | |||
18F16 | 324 | 1 | 108 | 12 | 0 | [ 1, 3, 3, 10 ] , [ 9, 10, 17, 9 ] , [ 17, 0, 0, 17 ] | |||
18G16 | 324 | 2 | 27 | 12 | 0 | [ 11, 4, 1, 7 ] , [ 13, 12, 12, 7 ] , [ 17, 0, 0, 17 ] | |||
18H16 | 324 | 2 | 54 | 12 | 0 | [ 1, 13, 4, 17 ] , [ 13, 15, 15, 16 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A16 | 252 | 1 | 21 | 0 | 0 | [ 2, 9, 15, 5 ] , [ 4, 6, 3, 10 ] , [ 4, 12, 12, 10 ] , [ 7, 18, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 12, 6, 16 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A16 | 360 | 1 | 12 | 0 | 0 | [ 3, 16, 8, 21 ] , [ 5, 4, 2, 15 ] , [ 7, 4, 2, 17 ] , [ 11, 14, 18, 13 ] | |||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A16 | 288 | 1 | 24 | 12 | 0 | [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 17, 16, 16, 1 ] | |||
24B16 | 288 | 1 | 72 | 12 | 0 | [ 1, 8, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 16, 3, 21, 16 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 20, 21 ] , [ 23, 0, 0, 23 ] | |||
24C16 | 288 | 1 | 72 | 12 | 0 | [ 1, 4, 4, 17 ] , [ 1, 8, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 16, 17, 23, 8 ] , [ 16, 23, 17, 8 ] , [ 17, 0, 0, 17 ] | |||
24D16 | 288 | 1 | 72 | 12 | 0 | [ 5, 16, 16, 13 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 9, 16, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 20, 19, 13, 4 ] | |||
24E16 | 288 | 2 | 72 | 12 | 0 | [ 1, 20, 20, 17 ] , [ 4, 11, 5, 20 ] , [ 5, 20, 20, 13 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] | |||
^ | Level 25 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/25Z) Matrix Generators |
25A16 | 300 | 1 | 6 | 0 | 0 | [ 11, 20, 0, 16 ] , [ 14, 5, 0, 9 ] , [ 21, 20, 5, 6 ] | |||
25B16 | 300 | 1 | 30 | 0 | 0 | [ 0, 7, 7, 22 ] , [ 17, 3, 3, 5 ] , [ 20, 3, 3, 8 ] , [ 21, 10, 10, 6 ] | |||
25C16 | 300 | 1 | 30 | 0 | 0 | [ 6, 15, 15, 21 ] , [ 12, 13, 23, 0 ] , [ 24, 0, 0, 24 ] | |||
25D16 | 300 | 1 | 30 | 0 | 0 | [ 6, 15, 15, 21 ] , [ 17, 3, 8, 0 ] , [ 24, 0, 0, 24 ] | |||
25E16 | 300 | 1 | 30 | 0 | 0 | [ 14, 9, 4, 8 ] , [ 16, 20, 20, 11 ] , [ 24, 0, 0, 24 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A16 | 273 | 1 | 273 | 3 | 0 | [ 1, 0, 13, 1 ] , [ 1, 14, 10, 11 ] , [ 7, 10, 8, 19 ] , [ 17, 4, 12, 9 ] , [ 25, 0, 0, 25 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A16 | 324 | 1 | 18 | 0 | 0 | [ 19, 0, 9, 10 ] , [ 19, 9, 9, 10 ] , [ 25, 21, 21, 22 ] , [ 26, 0, 0, 26 ] | |||
27B16 | 324 | 1 | 18 | 0 | 0 | [ 1, 18, 0, 1 ] , [ 10, 0, 9, 19 ] , [ 13, 9, 12, 25 ] , [ 26, 0, 0, 26 ] | |||
27C16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 10, 0, 6, 19 ] , [ 19, 0, 3, 10 ] , [ 25, 9, 13, 22 ] , [ 26, 0, 0, 26 ] | |||
27D16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 1, 0, 15, 1 ] , [ 1, 18, 26, 10 ] , [ 26, 0, 9, 26 ] | |||
27E16 | 324 | 1 | 36 | 0 | 9 | [ 10, 0, 0, 19 ] , [ 10, 12, 20, 16 ] , [ 19, 0, 18, 10 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A16 | 252 | 1 | 63 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 4, 17, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 17, 21 ] | |||
28B16 | 252 | 1 | 63 | 0 | 0 | [ 1, 14, 14, 1 ] , [ 5, 8, 16, 9 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 21, 26, 4, 21 ] , [ 27, 24, 18, 15 ] | |||
28C16 | 252 | 1 | 63 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ] | |||
28D16 | 252 | 2 | 63 | 0 | 0 | [ 5, 2, 25, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 12, 1, 27 ] | |||
28E16 | 252 | 2 | 63 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 4, 17, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ] | |||
28F16 | 252 | 2 | 63 | 0 | 0 | [ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 2, 24, 21 ] | |||
28G16 | 288 | 1 | 8 | 0 | 0 | [ 1, 14, 14, 1 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 9 ] , [ 23, 8, 12, 3 ] | |||
28H16 | 288 | 1 | 48 | 0 | 0 | [ 1, 14, 21, 15 ] , [ 15, 0, 0, 15 ] , [ 17, 20, 16, 9 ] , [ 25, 8, 12, 5 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A16 | 240 | 1 | 80 | 0 | 3 | [ 1, 15, 5, 16 ] , [ 5, 6, 24, 5 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 19 ] | |||
30B16 | 270 | 1 | 45 | 6 | 0 | [ 1, 0, 15, 1 ] , [ 7, 6, 0, 13 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] | |||
30C16 | 270 | 1 | 45 | 6 | 0 | [ 1, 0, 15, 1 ] , [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ] | |||
30D16 | 270 | 1 | 45 | 12 | 0 | [ 1, 20, 5, 11 ] , [ 7, 6, 0, 13 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] | |||
30E16 | 270 | 1 | 45 | 12 | 0 | [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 29, 22, 19, 1 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A16 | 252 | 1 | 126 | 0 | 0 | [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 30, 15, 26 ] , [ 21, 25, 5, 21 ] , [ 26, 15, 10, 26 ] , [ 34, 0, 0, 34 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A16 | 216 | 1 | 9 | 0 | 0 | [ 1, 4, 28, 5 ] , [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] | |||
36B16 | 216 | 1 | 27 | 0 | 0 | [ 9, 10, 26, 9 ] , [ 13, 24, 0, 25 ] , [ 15, 14, 34, 27 ] , [ 25, 0, 12, 13 ] , [ 25, 8, 32, 29 ] , [ 29, 24, 0, 5 ] | |||
36C16 | 216 | 1 | 54 | 0 | 0 | [ 5, 0, 12, 29 ] , [ 5, 14, 14, 25 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] , [ 27, 4, 2, 15 ] , [ 29, 10, 4, 25 ] | |||
36D16 | 216 | 1 | 108 | 0 | 0 | [ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 29, 28, 4, 25 ] | |||
36E16 | 216 | 2 | 27 | 0 | 0 | [ 5, 0, 12, 29 ] , [ 7, 10, 28, 35 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] , [ 29, 10, 4, 25 ] , [ 33, 32, 16, 9 ] | |||
36F16 | 288 | 1 | 32 | 0 | 9 | [ 1, 0, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 28, 15, 1, 7 ] , [ 35, 0, 0, 35 ] | |||
36G16 | 324 | 1 | 54 | 12 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36H16 | 324 | 1 | 81 | 24 | 0 | [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ] | |||
36I16 | 324 | 2 | 27 | 12 | 0 | [ 1, 0, 18, 1 ] , [ 13, 12, 12, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 31, 12, 21, 7 ] | |||
^ | Level 37 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/37Z) Matrix Generators |
37A16 | 342 | 1 | 38 | 18 | 0 | [ 1, 5, 7, 36 ] , [ 30, 26, 26, 9 ] , [ 36, 0, 0, 36 ] | |||
^ | Level 38 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/38Z) Matrix Generators |
38A16 | 360 | 1 | 40 | 0 | 18 | [ 3, 17, 35, 34 ] , [ 27, 32, 24, 13 ] , [ 36, 33, 9, 3 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A16 | 252 | 1 | 14 | 0 | 0 | [ 1, 13, 13, 14 ] , [ 1, 26, 26, 14 ] , [ 14, 0, 0, 14 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ] | |||
39B16 | 273 | 2 | 91 | 9 | 6 | [ 1, 13, 13, 14 ] , [ 1, 26, 26, 14 ] , [ 14, 0, 0, 14 ] , [ 20, 23, 8, 19 ] , [ 27, 1, 23, 11 ] , [ 30, 17, 25, 9 ] , [ 38, 0, 0, 38 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A16 | 240 | 1 | 15 | 0 | 0 | [ 1, 4, 8, 33 ] , [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 24, 17 ] , [ 31, 20, 20, 31 ] | |||
40B16 | 240 | 1 | 30 | 0 | 0 | [ 1, 30, 10, 21 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 0, 8, 33 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 20, 21 ] | |||
40C16 | 240 | 1 | 60 | 4 | 0 | [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 36, 25, 15, 36 ] | |||
40D16 | 240 | 2 | 60 | 8 | 0 | [ 1, 5, 25, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 36, 0, 33 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 24, 7, 9, 36 ] , [ 39, 20, 20, 39 ] | |||
40E16 | 240 | 2 | 60 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 6, 35, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 16, 23, 1, 4 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 32, 15, 17, 28 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A16 | 252 | 1 | 252 | 0 | 0 | [ 1, 0, 21, 1 ] , [ 1, 14, 0, 1 ] , [ 7, 26, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 21, 29 ] | |||
42B16 | 252 | 2 | 28 | 0 | 9 | [ 1, 14, 14, 29 ] , [ 7, 12, 18, 7 ] , [ 9, 37, 35, 32 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] | |||
42C16 | 252 | 2 | 63 | 8 | 0 | [ 1, 0, 21, 1 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 4, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42D16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 15, 2, 4, 9 ] , [ 15, 26, 22, 27 ] , [ 15, 35, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42E16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 13, 18, 12, 7 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 31, 24, 6, 25 ] | |||
42F16 | 252 | 2 | 63 | 12 | 0 | [ 1, 14, 35, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 16, 32, 9 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42G16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 21, 26, 4, 21 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 41, 38, 32, 1 ] | |||
42H16 | 252 | 2 | 63 | 12 | 0 | [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 4, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ] | |||
42I16 | 252 | 2 | 63 | 12 | 0 | [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 25, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A16 | 240 | 1 | 12 | 0 | 0 | [ 1, 22, 22, 1 ] , [ 12, 11, 33, 23 ] , [ 16, 43, 5, 19 ] , [ 23, 22, 0, 23 ] , [ 25, 16, 8, 21 ] , [ 35, 24, 12, 7 ] , [ 35, 30, 4, 11 ] , [ 41, 39, 25, 12 ] | |||
44B16 | 240 | 1 | 48 | 0 | 0 | [ 1, 22, 11, 23 ] , [ 1, 33, 33, 34 ] , [ 5, 32, 16, 41 ] , [ 21, 22, 11, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 34, 11, 11, 1 ] | |||
44C16 | 360 | 1 | 36 | 0 | 0 | [ 1, 22, 22, 1 ] , [ 7, 26, 2, 39 ] , [ 11, 14, 18, 35 ] , [ 23, 0, 0, 23 ] , [ 25, 16, 8, 21 ] , [ 27, 4, 24, 15 ] , [ 38, 15, 13, 4 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A16 | 240 | 1 | 80 | 0 | 3 | [ 16, 0, 0, 31 ] , [ 16, 0, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 43, 10 ] , [ 19, 33, 18, 10 ] , [ 31, 15, 5, 1 ] , [ 35, 33, 18, 26 ] | |||
45B16 | 270 | 1 | 15 | 18 | 0 | [ 13, 24, 15, 7 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 5, 5, 1 ] , [ 31, 0, 30, 16 ] , [ 31, 3, 36, 34 ] , [ 41, 30, 30, 11 ] | |||
45C16 | 270 | 1 | 90 | 6 | 0 | [ 1, 15, 30, 1 ] , [ 1, 30, 15, 1 ] , [ 16, 33, 21, 4 ] , [ 19, 0, 0, 19 ] , [ 26, 30, 15, 26 ] , [ 28, 9, 0, 37 ] , [ 31, 0, 0, 16 ] , [ 36, 25, 5, 36 ] | |||
45D16 | 270 | 2 | 135 | 18 | 0 | [ 3, 4, 20, 42 ] , [ 8, 29, 35, 37 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 30, 16 ] , [ 41, 30, 30, 11 ] , [ 43, 0, 33, 22 ] | |||
45E16 | 324 | 1 | 162 | 24 | 0 | [ 4, 7, 4, 41 ] , [ 4, 15, 15, 34 ] , [ 16, 30, 30, 31 ] , [ 26, 40, 40, 1 ] , [ 28, 9, 9, 19 ] , [ 41, 30, 30, 11 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A16 | 288 | 1 | 24 | 12 | 0 | [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 36, 13, 11, 12 ] , [ 47, 0, 0, 47 ] | |||
48B16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 17, 0, 0, 17 ] , [ 32, 25, 7, 16 ] , [ 47, 0, 0, 47 ] | |||
48C16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 16, 25, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 32, 25, 7, 16 ] , [ 47, 0, 0, 47 ] | |||
48D16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48E16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 16, 25, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48F16 | 288 | 1 | 72 | 12 | 0 | [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 32, 33, 15, 32 ] , [ 36, 13, 11, 12 ] , [ 47, 0, 0, 47 ] | |||
48G16 | 288 | 1 | 72 | 12 | 0 | [ 0, 13, 11, 0 ] , [ 1, 20, 20, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] | |||
48H16 | 288 | 1 | 72 | 12 | 0 | [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 29, 16, 16, 37 ] , [ 45, 32, 16, 21 ] , [ 47, 0, 0, 47 ] | |||
48I16 | 288 | 2 | 72 | 12 | 0 | [ 0, 13, 11, 0 ] , [ 16, 33, 15, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 28, 1, 31, 20 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ] | |||
48J16 | 288 | 2 | 144 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 17, 47, 32 ] , [ 24, 5, 19, 36 ] , [ 32, 1, 31, 16 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A16 | 300 | 1 | 30 | 20 | 0 | [ 1, 25, 25, 26 ] , [ 17, 28, 28, 5 ] , [ 21, 10, 10, 31 ] , [ 25, 32, 32, 47 ] , [ 37, 40, 37, 13 ] , [ 45, 28, 28, 33 ] | |||
50B16 | 300 | 1 | 30 | 20 | 0 | [ 26, 25, 25, 1 ] , [ 31, 40, 40, 21 ] , [ 37, 15, 22, 13 ] , [ 37, 38, 48, 25 ] , [ 49, 0, 0, 49 ] | |||
50C16 | 300 | 1 | 30 | 20 | 0 | [ 1, 25, 25, 26 ] , [ 17, 28, 8, 25 ] , [ 31, 40, 40, 21 ] , [ 33, 38, 45, 17 ] , [ 49, 0, 0, 49 ] | |||
50D16 | 300 | 1 | 30 | 20 | 0 | [ 1, 25, 25, 26 ] , [ 39, 34, 4, 33 ] , [ 39, 48, 11, 11 ] , [ 41, 20, 20, 11 ] , [ 49, 0, 0, 49 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A16 | 252 | 1 | 42 | 0 | 0 | [ 11, 29, 30, 13 ] , [ 21, 18, 24, 33 ] , [ 23, 37, 44, 3 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ] | |||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 27, 27, 28 ] , [ 19, 0, 18, 37 ] , [ 31, 0, 18, 7 ] , [ 31, 18, 48, 7 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ] | |||
54B16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 28, 27, 27, 1 ] , [ 35, 0, 36, 17 ] , [ 37, 0, 0, 19 ] , [ 37, 18, 42, 19 ] , [ 49, 12, 38, 49 ] | |||
54C16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 42, 22, 43 ] , [ 28, 27, 27, 1 ] , [ 37, 18, 42, 19 ] , [ 53, 0, 0, 53 ] | |||
54D16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 36, 48, 19 ] , [ 37, 42, 52, 43 ] , [ 53, 0, 0, 53 ] | |||
54E16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 19, 36, 12, 37 ] , [ 25, 24, 40, 19 ] , [ 31, 0, 30, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ] | |||
54F16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 13, 12, 44, 49 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 37, 36, 30, 19 ] , [ 43, 0, 30, 49 ] | |||
54G16 | 216 | 1 | 12 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 18, 19 ] , [ 49, 36, 48, 43 ] , [ 53, 0, 0, 53 ] | |||
54H16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 7, 45, 45, 4 ] , [ 19, 0, 0, 37 ] , [ 31, 27, 45, 34 ] , [ 40, 45, 15, 25 ] , [ 53, 0, 0, 53 ] | |||
54I16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 25, 42, 52, 1 ] , [ 28, 45, 27, 1 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ] | |||
54J16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 19, 0, 0, 37 ] , [ 19, 3, 23, 52 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 43, 0, 24, 49 ] , [ 53, 0, 0, 53 ] | |||
54K16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 16, 45, 9, 49 ] , [ 19, 0, 0, 37 ] , [ 28, 9, 9, 1 ] , [ 40, 45, 15, 25 ] , [ 53, 0, 0, 53 ] | |||
54L16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 4, 27, 15, 7 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 37, 36, 30, 19 ] , [ 49, 15, 19, 40 ] | |||
54M16 | 216 | 1 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 16, 27, 51, 49 ] , [ 19, 0, 0, 37 ] , [ 19, 3, 23, 52 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ] | |||
54N16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 27, 27, 28 ] , [ 1, 36, 48, 1 ] , [ 19, 0, 18, 37 ] , [ 25, 6, 14, 25 ] , [ 53, 0, 0, 53 ] | |||
54O16 | 216 | 1 | 72 | 0 | 0 | [ 1, 18, 24, 1 ] , [ 10, 9, 15, 19 ] , [ 16, 21, 49, 7 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 36, 37 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ] | |||
54P16 | 216 | 2 | 24 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 16, 27, 51, 49 ] , [ 19, 0, 0, 37 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 46, 3, 23, 25 ] , [ 53, 0, 0, 53 ] | |||
54Q16 | 324 | 1 | 18 | 36 | 0 | [ 19, 36, 36, 37 ] , [ 27, 28, 53, 27 ] , [ 35, 18, 18, 17 ] , [ 37, 0, 0, 19 ] , [ 37, 9, 9, 46 ] , [ 49, 0, 0, 43 ] | |||
54R16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 36, 40, 49 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ] | |||
54S16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 18, 26, 37 ] , [ 17, 0, 0, 35 ] , [ 37, 0, 36, 19 ] | |||
54T16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 12, 25 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ] | |||
54U16 | 324 | 1 | 108 | 0 | 0 | [ 1, 0, 6, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 25, 6, 16, 19 ] , [ 37, 0, 0, 19 ] , [ 53, 0, 42, 53 ] | |||
54V16 | 324 | 2 | 9 | 36 | 0 | [ 1, 27, 27, 28 ] , [ 1, 52, 1, 53 ] , [ 13, 6, 6, 7 ] , [ 37, 18, 18, 19 ] , [ 37, 36, 0, 19 ] , [ 53, 0, 0, 53 ] | |||
^ | Level 55 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/55Z) Matrix Generators |
55A16 | 220 | 2 | 110 | 0 | 4 | [ 19, 5, 25, 24 ] , [ 21, 0, 0, 21 ] , [ 29, 25, 20, 4 ] , [ 34, 0, 0, 34 ] , [ 34, 11, 44, 45 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A16 | 252 | 1 | 126 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 15, 0, 42, 15 ] , [ 21, 44, 24, 21 ] , [ 29, 0, 28, 29 ] , [ 29, 4, 24, 13 ] , [ 29, 28, 21, 1 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] | |||
56B16 | 252 | 1 | 126 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 0, 49, 1 ] , [ 1, 32, 24, 41 ] , [ 15, 0, 42, 15 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] | |||
56C16 | 252 | 2 | 63 | 12 | 0 | [ 1, 14, 49, 15 ] , [ 1, 28, 42, 1 ] , [ 1, 40, 50, 41 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] | |||
56D16 | 252 | 2 | 126 | 0 | 0 | [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 15, 0, 42, 15 ] , [ 29, 0, 28, 29 ] , [ 29, 4, 24, 13 ] , [ 29, 28, 21, 1 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] | |||
56E16 | 288 | 1 | 24 | 0 | 0 | [ 3, 41, 44, 23 ] , [ 9, 8, 12, 17 ] , [ 9, 40, 32, 49 ] , [ 19, 48, 44, 11 ] , [ 29, 28, 0, 29 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ] | |||
56F16 | 288 | 1 | 48 | 0 | 0 | [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 17, 24, 8, 41 ] , [ 25, 8, 40, 33 ] , [ 29, 0, 0, 29 ] , [ 29, 3, 50, 11 ] , [ 29, 28, 0, 29 ] , [ 39, 36, 40, 47 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 9 ] | |||
^ | Level 57 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/57Z) Matrix Generators |
57A16 | 228 | 2 | 228 | 0 | 3 | [ 17, 20, 12, 41 ] , [ 20, 0, 0, 20 ] , [ 20, 38, 0, 20 ] , [ 31, 42, 54, 7 ] , [ 37, 0, 0, 37 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A16 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 24, 12, 49 ] , [ 1, 30, 30, 1 ] , [ 13, 12, 0, 37 ] , [ 13, 48, 24, 1 ] , [ 21, 20, 40, 41 ] , [ 31, 20, 10, 51 ] , [ 49, 0, 0, 49 ] | |||
60B16 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 11, 40, 35, 51 ] , [ 13, 12, 0, 37 ] , [ 21, 40, 5, 1 ] , [ 25, 36, 24, 49 ] , [ 41, 40, 20, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 36, 48, 1 ] | |||
60C16 | 240 | 2 | 240 | 8 | 3 | [ 16, 15, 45, 16 ] , [ 26, 15, 15, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 53, 40, 28, 37 ] , [ 53, 44, 20, 37 ] , [ 57, 4, 8, 49 ] | |||
60D16 | 270 | 1 | 15 | 18 | 0 | [ 1, 0, 30, 1 ] , [ 1, 20, 20, 41 ] , [ 7, 36, 30, 43 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 59, 22, 49, 1 ] , [ 59, 52, 4, 31 ] | |||
60E16 | 270 | 1 | 45 | 12 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 20, 20, 41 ] , [ 7, 36, 30, 43 ] , [ 31, 0, 30, 31 ] , [ 39, 22, 14, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ] | |||
60F16 | 270 | 1 | 45 | 12 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 20, 20, 41 ] , [ 17, 10, 52, 13 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ] | |||
^ | Level 61 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/61Z) Matrix Generators |
61A16 | 310 | 1 | 62 | 10 | 10 | [ 12, 35, 60, 48 ] , [ 21, 32, 18, 42 ] , [ 27, 50, 22, 34 ] , [ 43, 53, 20, 19 ] , [ 51, 19, 45, 12 ] , [ 53, 10, 59, 10 ] , [ 60, 0, 0, 60 ] | |||
^ | Level 62 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/62Z) Matrix Generators |
62A16 | 320 | 1 | 32 | 0 | 20 | [ 7, 16, 10, 23 ] , [ 32, 31, 31, 1 ] , [ 33, 8, 58, 31 ] , [ 46, 19, 37, 49 ] , [ 47, 21, 49, 14 ] , [ 61, 0, 0, 61 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A16 | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 28, 7, 8 ] , [ 8, 0, 0, 8 ] , [ 8, 21, 42, 8 ] , [ 8, 56, 14, 43 ] , [ 36, 35, 37, 57 ] , [ 43, 0, 21, 22 ] , [ 43, 42, 42, 22 ] , [ 55, 0, 9, 55 ] | |||
63B16 | 216 | 1 | 216 | 0 | 0 | [ 1, 0, 9, 1 ] , [ 8, 0, 0, 8 ] , [ 15, 35, 28, 57 ] , [ 22, 7, 28, 29 ] , [ 22, 14, 56, 50 ] , [ 22, 21, 21, 43 ] , [ 43, 42, 42, 22 ] , [ 46, 0, 0, 37 ] , [ 62, 56, 35, 55 ] | |||
63C16 | 252 | 1 | 84 | 0 | 0 | [ 2, 2, 22, 54 ] , [ 15, 35, 49, 1 ] , [ 19, 45, 54, 55 ] , [ 22, 21, 0, 43 ] , [ 22, 42, 21, 43 ] , [ 28, 45, 9, 28 ] , [ 37, 9, 36, 19 ] , [ 47, 59, 61, 27 ] , [ 48, 53, 16, 40 ] , [ 55, 0, 0, 55 ] | |||
63D16 | 252 | 2 | 126 | 8 | 0 | [ 1, 0, 42, 1 ] , [ 10, 36, 18, 46 ] , [ 20, 42, 42, 41 ] , [ 28, 9, 45, 1 ] , [ 28, 36, 27, 55 ] , [ 28, 45, 9, 28 ] , [ 28, 54, 18, 55 ] , [ 43, 21, 0, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 62, 31, 25, 43 ] | |||
63E16 | 252 | 2 | 252 | 8 | 0 | [ 1, 0, 21, 1 ] , [ 7, 36, 6, 13 ] , [ 7, 36, 48, 13 ] , [ 10, 36, 18, 46 ] , [ 22, 42, 0, 43 ] , [ 28, 15, 48, 55 ] , [ 28, 18, 54, 28 ] , [ 43, 11, 59, 62 ] , [ 50, 21, 21, 29 ] , [ 55, 0, 0, 55 ] | |||
63F16 | 288 | 2 | 32 | 0 | 9 | [ 1, 0, 45, 1 ] , [ 22, 0, 0, 43 ] , [ 37, 42, 31, 25 ] , [ 43, 0, 42, 22 ] , [ 50, 0, 21, 29 ] , [ 55, 0, 0, 55 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A16 | 198 | 2 | 11 | 0 | 0 | [ 1, 22, 22, 23 ] , [ 1, 44, 44, 23 ] , [ 11, 58, 40, 55 ] , [ 13, 32, 44, 17 ] , [ 23, 0, 0, 23 ] , [ 65, 0, 0, 65 ] | |||
66B16 | 216 | 1 | 12 | 0 | 0 | [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 35, 24, 6, 23 ] , [ 43, 0, 0, 43 ] , [ 45, 44, 22, 45 ] , [ 61, 48, 24, 7 ] , [ 65, 0, 0, 65 ] , [ 65, 22, 22, 43 ] | |||
66C16 | 216 | 1 | 108 | 0 | 0 | [ 12, 11, 55, 12 ] , [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 32, 55, 55, 10 ] , [ 34, 11, 11, 56 ] , [ 35, 24, 6, 23 ] , [ 56, 55, 55, 34 ] , [ 61, 48, 24, 7 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A16 | 210 | 2 | 105 | 2 | 0 | [ 1, 0, 35, 1 ] , [ 1, 14, 42, 29 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 51, 0, 30, 11 ] , [ 51, 40, 20, 61 ] | |||
70B16 | 210 | 2 | 105 | 4 | 0 | [ 26, 25, 65, 6 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 56, 15 ] , [ 29, 56, 28, 1 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 30, 1 ] , [ 43, 42, 0, 57 ] , [ 51, 40, 20, 61 ] | |||
70C16 | 210 | 2 | 105 | 4 | 0 | [ 1, 14, 42, 29 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 51, 0, 30, 11 ] , [ 51, 30, 15, 61 ] , [ 51, 40, 20, 61 ] | |||
70D16 | 240 | 1 | 80 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 25, 28, 58, 9 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 28, 1 ] , [ 41, 0, 40, 41 ] , [ 43, 0, 56, 57 ] , [ 64, 7, 7, 15 ] | |||
70E16 | 240 | 1 | 80 | 0 | 6 | [ 1, 0, 20, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 28, 1 ] , [ 39, 42, 2, 65 ] , [ 41, 0, 40, 41 ] , [ 43, 0, 56, 57 ] , [ 50, 63, 63, 29 ] | |||
70F16 | 252 | 2 | 126 | 8 | 0 | [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 21, 43 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 43, 22, 40, 27 ] , [ 57, 42, 42, 15 ] | |||
70G16 | 252 | 2 | 126 | 12 | 0 | [ 16, 15, 45, 16 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 25, 66 ] , [ 46, 41, 3, 24 ] , [ 57, 42, 42, 15 ] | |||
70H16 | 252 | 2 | 126 | 12 | 0 | [ 1, 50, 40, 41 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 63, 43 ] , [ 57, 42, 42, 15 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A16 | 216 | 1 | 27 | 0 | 0 | [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 40, 56, 9 ] , [ 65, 48, 0, 41 ] | |||
72B16 | 216 | 1 | 27 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 64, 40, 65 ] , [ 29, 6, 24, 5 ] , [ 33, 56, 4, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 65, 48, 0, 41 ] | |||
72C16 | 216 | 1 | 54 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 5, 14, 20, 13 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 29, 6, 24, 5 ] , [ 33, 47, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 49, 52, 4, 41 ] , [ 65, 48, 0, 41 ] | |||
72D16 | 216 | 1 | 54 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 29, 6, 24, 5 ] , [ 33, 47, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 40, 41 ] , [ 49, 24, 24, 25 ] , [ 49, 52, 40, 41 ] , [ 65, 48, 0, 41 ] | |||
72E16 | 216 | 1 | 108 | 0 | 0 | [ 1, 9, 36, 37 ] , [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 40, 56, 9 ] , [ 65, 48, 0, 41 ] | |||
72F16 | 216 | 1 | 108 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 31, 20, 45 ] , [ 57, 58, 56, 9 ] , [ 65, 48, 0, 41 ] | |||
72G16 | 216 | 1 | 108 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 36, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ] | |||
72H16 | 216 | 1 | 108 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 36, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 52, 49 ] | |||
72I16 | 216 | 2 | 27 | 0 | 0 | [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 68, 16, 57 ] , [ 17, 24, 48, 17 ] , [ 17, 48, 24, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 44, 65 ] , [ 29, 4, 28, 61 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 55, 0, 0, 55 ] | |||
72J16 | 216 | 2 | 54 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 7, 12, 48, 31 ] , [ 9, 29, 4, 45 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 43, 68, 44, 11 ] , [ 49, 24, 24, 25 ] , [ 55, 20, 68, 47 ] , [ 55, 56, 68, 47 ] , [ 65, 24, 24, 41 ] | |||
72K16 | 216 | 2 | 54 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 9, 29, 40, 9 ] , [ 9, 65, 40, 9 ] , [ 17, 16, 40, 25 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 45, 41, 16, 21 ] , [ 49, 24, 24, 25 ] , [ 55, 20, 32, 47 ] , [ 65, 24, 24, 41 ] | |||
72L16 | 216 | 2 | 54 | 4 | 0 | [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 37, 36, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] | |||
72M16 | 216 | 2 | 54 | 4 | 0 | [ 1, 9, 54, 55 ] , [ 1, 20, 32, 65 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 2, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 63, 62, 64, 15 ] | |||
72N16 | 216 | 2 | 54 | 4 | 0 | [ 1, 9, 54, 55 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 5, 10, 52, 61 ] , [ 13, 16, 4, 5 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 63, 62, 64, 15 ] | |||
72O16 | 216 | 2 | 54 | 4 | 0 | [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 5, 10, 52, 61 ] , [ 17, 2, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 27, 4, 20, 51 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 41, 51, 18, 47 ] | |||
72P16 | 216 | 2 | 108 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 31, 52, 5 ] , [ 49, 32, 8, 17 ] , [ 49, 58, 16, 41 ] , [ 65, 48, 0, 41 ] | |||
72Q16 | 216 | 2 | 108 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 5, 26, 8, 13 ] , [ 23, 26, 44, 31 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 44, 49 ] , [ 49, 24, 24, 25 ] , [ 59, 44, 8, 67 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ] | |||
72R16 | 216 | 2 | 108 | 4 | 0 | [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 11, 6, 60, 59 ] , [ 17, 36, 36, 17 ] , [ 19, 5, 62, 5 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 12, 65 ] , [ 43, 37, 4, 47 ] , [ 49, 0, 48, 25 ] | |||
72S16 | 216 | 2 | 108 | 4 | 0 | [ 1, 36, 0, 1 ] , [ 7, 59, 26, 65 ] , [ 17, 24, 12, 17 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 40, 46, 65 ] , [ 25, 48, 48, 49 ] , [ 35, 42, 12, 35 ] , [ 37, 36, 0, 37 ] , [ 47, 24, 24, 23 ] , [ 49, 36, 48, 25 ] , [ 65, 56, 2, 25 ] | |||
^ | Level 74 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/74Z) Matrix Generators |
74A16 | 228 | 1 | 114 | 0 | 0 | [ 1, 0, 37, 1 ] , [ 7, 20, 0, 53 ] , [ 9, 36, 52, 19 ] , [ 13, 72, 72, 63 ] , [ 47, 52, 0, 63 ] | |||
74B16 | 228 | 1 | 114 | 4 | 0 | [ 7, 20, 0, 53 ] , [ 9, 36, 52, 19 ] , [ 13, 72, 72, 63 ] , [ 19, 24, 47, 1 ] , [ 47, 52, 0, 63 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A16 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 38, 1 ] , [ 21, 48, 36, 57 ] , [ 29, 52, 20, 49 ] , [ 33, 22, 72, 25 ] , [ 41, 16, 28, 61 ] , [ 53, 64, 48, 25 ] , [ 55, 46, 6, 23 ] , [ 61, 8, 52, 33 ] | |||
76B16 | 240 | 1 | 80 | 0 | 6 | [ 1, 38, 19, 39 ] , [ 1, 57, 57, 58 ] , [ 5, 44, 44, 53 ] , [ 39, 0, 0, 39 ] , [ 45, 60, 64, 33 ] , [ 69, 48, 28, 25 ] | |||
76C16 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 38, 1 ] , [ 9, 4, 60, 69 ] , [ 17, 8, 44, 61 ] , [ 21, 48, 36, 57 ] , [ 25, 4, 44, 1 ] , [ 31, 72, 35, 47 ] , [ 33, 16, 12, 45 ] , [ 49, 0, 68, 45 ] , [ 53, 16, 47, 73 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A16 | 252 | 1 | 42 | 12 | 0 | [ 1, 26, 65, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 13, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 21, 49 ] , [ 73, 18, 24, 7 ] | |||
78B16 | 252 | 1 | 42 | 12 | 0 | [ 1, 54, 27, 55 ] , [ 7, 34, 28, 47 ] , [ 15, 10, 74, 39 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 77, 6, 60, 29 ] | |||
78C16 | 252 | 1 | 126 | 8 | 0 | [ 13, 42, 69, 67 ] , [ 13, 70, 70, 17 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 75, 40, 56, 33 ] , [ 77, 6, 60, 29 ] | |||
78D16 | 252 | 2 | 28 | 0 | 9 | [ 1, 52, 52, 53 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 60, 55 ] , [ 43, 42, 42, 61 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 67, 47, 69, 10 ] | |||
78E16 | 252 | 2 | 42 | 12 | 0 | [ 1, 6, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 26, 27 ] , [ 31, 66, 36, 49 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 55, 54, 21, 49 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A16 | 240 | 1 | 15 | 0 | 0 | [ 11, 30, 50, 71 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 32, 17 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 71, 60, 20, 71 ] | |||
80B16 | 240 | 1 | 60 | 0 | 0 | [ 6, 55, 65, 76 ] , [ 11, 30, 50, 71 ] , [ 17, 32, 64, 17 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 32, 17 ] , [ 36, 15, 25, 26 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 61, 60, 20, 21 ] | |||
^ | Level 81 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/81Z) Matrix Generators |
81A16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 54, 1 ] , [ 10, 0, 63, 73 ] , [ 13, 0, 12, 25 ] , [ 28, 0, 27, 55 ] , [ 58, 27, 27, 7 ] , [ 80, 0, 0, 80 ] | |||
81B16 | 324 | 1 | 36 | 0 | 0 | [ 1, 0, 27, 1 ] , [ 1, 0, 63, 1 ] , [ 28, 0, 0, 55 ] , [ 61, 36, 4, 13 ] , [ 61, 36, 19, 67 ] , [ 73, 27, 30, 10 ] , [ 80, 0, 0, 80 ] | |||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A16 | 252 | 2 | 42 | 18 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ] | |||
84B16 | 252 | 2 | 42 | 18 | 0 | [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 15, 7, 14, 57 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 24, 36, 37 ] , [ 49, 12, 60, 49 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] | |||
84C16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 15, 14, 7, 57 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] | |||
84D16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 43, 14, 14, 71 ] , [ 45, 68, 40, 81 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] | |||
84E16 | 252 | 2 | 63 | 12 | 0 | [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 7, 57 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 26, 47, 25 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] | |||
84F16 | 252 | 2 | 63 | 16 | 0 | [ 1, 0, 42, 1 ] , [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ] | |||
84G16 | 252 | 2 | 63 | 16 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 47, 58, 67, 13 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] | |||
84H16 | 252 | 2 | 63 | 16 | 0 | [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 29, 56, 56, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 47, 36, 72, 23 ] , [ 47, 58, 67, 13 ] , [ 55, 54, 66, 19 ] | |||
84I16 | 252 | 2 | 126 | 18 | 0 | [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ] | |||
84J16 | 252 | 2 | 126 | 18 | 0 | [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ] | |||
84K16 | 288 | 2 | 16 | 0 | 18 | [ 1, 42, 42, 1 ] , [ 1, 56, 56, 29 ] , [ 13, 3, 23, 70 ] , [ 29, 0, 0, 29 ] , [ 43, 42, 0, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 48, 72, 25 ] , [ 73, 48, 30, 37 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A16 | 240 | 1 | 80 | 0 | 3 | [ 1, 0, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 61, 0, 30, 31 ] , [ 73, 36, 0, 37 ] , [ 76, 75, 75, 61 ] , [ 89, 0, 0, 89 ] | |||
90B16 | 270 | 2 | 45 | 24 | 0 | [ 1, 45, 45, 46 ] , [ 6, 13, 11, 54 ] , [ 13, 69, 15, 52 ] , [ 31, 0, 30, 61 ] , [ 41, 30, 30, 11 ] , [ 61, 30, 30, 31 ] , [ 64, 45, 45, 19 ] , [ 76, 3, 81, 79 ] , [ 86, 23, 11, 4 ] | |||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 66, 1 ] , [ 7, 14, 59, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ] | |||
96B16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 14, 59, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 14, 41, 73 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ] | |||
96C16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 66, 1 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ] | |||
96D16 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 14, 41, 73 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ] | |||
96E16 | 288 | 2 | 144 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 46, 91, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 41, 0, 24, 89 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 71, 14, 41, 73 ] , [ 79, 38, 35, 29 ] , [ 85, 72, 24, 61 ] | |||
^ | Level 101 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/101Z) Matrix Generators |
101A16 | 204 | 1 | 102 | 0 | 0 | [ 23, 30, 53, 56 ] , [ 48, 53, 86, 55 ] , [ 65, 81, 32, 43 ] , [ 99, 47, 46, 80 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A16 | 210 | 2 | 35 | 6 | 0 | [ 1, 35, 35, 71 ] , [ 16, 30, 15, 61 ] , [ 36, 70, 35, 36 ] , [ 43, 42, 21, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ] | |||
105B16 | 210 | 2 | 105 | 6 | 0 | [ 1, 35, 35, 71 ] , [ 16, 30, 15, 61 ] , [ 43, 42, 21, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 45, 60, 1 ] , [ 76, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ] | |||
105C16 | 252 | 2 | 126 | 16 | 0 | [ 1, 0, 63, 1 ] , [ 1, 70, 70, 71 ] , [ 13, 10, 4, 92 ] , [ 36, 80, 40, 51 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ] | |||
^ | Level 108 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/108Z) Matrix Generators |
108A16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 37, 0, 0, 73 ] , [ 37, 36, 48, 73 ] , [ 37, 96, 52, 97 ] , [ 55, 0, 54, 55 ] , [ 85, 0, 0, 61 ] , [ 107, 0, 0, 107 ] | |||
108B16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 13, 12, 44, 49 ] , [ 37, 36, 84, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 18, 35 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 72, 37 ] , [ 97, 0, 84, 49 ] | |||
108C16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 25, 24, 40, 73 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 72, 73 ] , [ 55, 0, 54, 55 ] , [ 73, 36, 12, 37 ] , [ 85, 0, 84, 61 ] , [ 107, 0, 0, 107 ] | |||
^ | Level 109 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/109Z) Matrix Generators |
109A16 | 220 | 1 | 110 | 0 | 4 | [ 7, 86, 87, 88 ] , [ 71, 93, 70, 61 ] , [ 78, 54, 9, 30 ] , [ 79, 54, 9, 31 ] , [ 86, 88, 43, 25 ] | |||
^ | Level 111 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/111Z) Matrix Generators |
111A16 | 228 | 1 | 114 | 8 | 0 | [ 1, 37, 37, 38 ] , [ 10, 33, 51, 13 ] , [ 38, 0, 0, 38 ] , [ 40, 108, 66, 70 ] , [ 72, 44, 31, 39 ] , [ 109, 72, 60, 4 ] , [ 110, 0, 0, 110 ] | |||
^ | Level 112 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/112Z) Matrix Generators |
112A16 | 224 | 2 | 28 | 0 | 8 | [ 1, 56, 56, 1 ] , [ 43, 28, 56, 99 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 57, 91, 63, 22 ] , [ 65, 0, 32, 81 ] , [ 65, 48, 96, 33 ] , [ 65, 68, 52, 1 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ] | |||
112B16 | 224 | 2 | 28 | 0 | 8 | [ 1, 56, 56, 1 ] , [ 43, 28, 56, 99 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 57, 91, 63, 22 ] , [ 65, 0, 32, 81 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ] | |||
^ | Level 117 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/117Z) Matrix Generators |
117A16 | 252 | 2 | 126 | 16 | 0 | [ 1, 72, 72, 37 ] , [ 14, 0, 0, 92 ] , [ 25, 45, 45, 67 ] , [ 40, 78, 78, 79 ] , [ 78, 70, 5, 48 ] , [ 79, 0, 0, 40 ] , [ 82, 9, 90, 37 ] , [ 91, 109, 70, 35 ] | |||
^ | Level 120 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/120Z) Matrix Generators |
120A16 | 240 | 1 | 40 | 0 | 12 | [ 1, 20, 20, 41 ] , [ 1, 60, 60, 1 ] , [ 19, 24, 36, 115 ] , [ 25, 96, 24, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 66, 115, 35, 101 ] , [ 73, 0, 48, 97 ] , [ 97, 96, 0, 73 ] | |||
120B16 | 240 | 1 | 60 | 0 | 0 | [ 1, 60, 0, 1 ] , [ 1, 80, 0, 1 ] , [ 41, 15, 60, 101 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 24, 25 ] , [ 61, 30, 0, 61 ] , [ 61, 60, 0, 61 ] , [ 71, 15, 0, 71 ] , [ 73, 0, 72, 97 ] , [ 89, 108, 36, 41 ] , [ 97, 24, 0, 73 ] | |||
120C16 | 240 | 1 | 120 | 0 | 12 | [ 1, 48, 96, 49 ] , [ 16, 45, 115, 31 ] , [ 31, 0, 60, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 0, 61 ] , [ 91, 50, 20, 11 ] , [ 91, 100, 10, 11 ] , [ 97, 72, 24, 97 ] , [ 97, 96, 0, 73 ] , [ 101, 0, 0, 101 ] | |||
120D16 | 240 | 2 | 20 | 0 | 12 | [ 1, 40, 40, 41 ] , [ 1, 60, 60, 1 ] , [ 25, 96, 64, 49 ] , [ 31, 60, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 40, 80, 81 ] , [ 97, 96, 0, 73 ] | |||
120E16 | 240 | 2 | 80 | 12 | 3 | [ 1, 40, 40, 41 ] , [ 1, 72, 24, 49 ] , [ 1, 80, 80, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 105, 45, 86 ] , [ 49, 0, 0, 49 ] , [ 73, 0, 72, 97 ] , [ 73, 24, 8, 1 ] , [ 76, 15, 105, 76 ] , [ 109, 0, 0, 109 ] | |||
^ | Level 125 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/125Z) Matrix Generators |
125A16 | 300 | 1 | 30 | 0 | 0 | [ 11, 35, 80, 16 ] , [ 41, 0, 60, 61 ] , [ 51, 100, 100, 76 ] , [ 61, 20, 70, 66 ] , [ 76, 0, 50, 51 ] , [ 84, 10, 5, 14 ] , [ 88, 79, 64, 39 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A16 | 252 | 2 | 63 | 20 | 0 | [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 113, 26, 71 ] , [ 55, 0, 0, 55 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 85, 42, 42, 43 ] , [ 113, 84, 84, 29 ] | |||
126B16 | 252 | 2 | 63 | 20 | 0 | [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 113, 89, 8 ] , [ 55, 0, 0, 55 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 85, 42, 42, 43 ] , [ 113, 84, 84, 29 ] | |||
126C16 | 252 | 2 | 126 | 20 | 0 | [ 22, 21, 21, 43 ] , [ 31, 114, 18, 115 ] , [ 34, 41, 65, 8 ] , [ 43, 0, 0, 85 ] , [ 43, 42, 42, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 59, 114, 102, 101 ] , [ 108, 103, 101, 24 ] | |||
126D16 | 252 | 2 | 126 | 20 | 0 | [ 1, 84, 42, 1 ] , [ 17, 54, 24, 17 ] , [ 31, 72, 18, 115 ] , [ 34, 41, 65, 8 ] , [ 38, 107, 53, 10 ] , [ 43, 105, 63, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 85, 84, 0, 43 ] | |||
^ | Level 130 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/130Z) Matrix Generators |
130A16 | 210 | 1 | 210 | 2 | 0 | [ 1, 0, 65, 1 ] , [ 1, 30, 110, 51 ] , [ 27, 78, 26, 27 ] , [ 51, 0, 0, 51 ] , [ 51, 120, 120, 81 ] , [ 53, 0, 52, 27 ] , [ 53, 26, 0, 27 ] , [ 79, 0, 0, 79 ] , [ 111, 120, 20, 31 ] | |||
^ | Level 132 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/132Z) Matrix Generators |
132A16 | 198 | 2 | 33 | 0 | 0 | [ 1, 66, 66, 1 ] , [ 56, 121, 55, 34 ] , [ 64, 85, 31, 2 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 22, 1 ] , [ 89, 44, 44, 1 ] , [ 109, 0, 0, 109 ] , [ 116, 81, 39, 50 ] | |||
132B16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 66, 1 ] , [ 1, 44, 44, 89 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 0, 99, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] | |||
132C16 | 216 | 1 | 108 | 0 | 0 | [ 1, 0, 66, 1 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 0, 99, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] , [ 111, 22, 44, 111 ] | |||
132D16 | 264 | 2 | 132 | 24 | 0 | [ 19, 17, 74, 101 ] , [ 43, 0, 0, 43 ] , [ 45, 22, 77, 111 ] , [ 64, 129, 75, 79 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 44, 44, 1 ] , [ 100, 33, 99, 67 ] | |||
^ | Level 134 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/134Z) Matrix Generators |
134A16 | Γ0(134) | 204 | 1 | 204 | 0 | 0 | [ 1, 0, 67, 1 ] , [ 37, 90, 128, 47 ] , [ 43, 84, 46, 93 ] , [ 113, 34, 96, 87 ] , [ 133, 0, 67, 133 ] | ||
^ | Level 140 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/140Z) Matrix Generators |
140A16 | 210 | 2 | 105 | 4 | 0 | [ 1, 0, 70, 1 ] , [ 1, 0, 105, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 85, 112, 112, 29 ] , [ 89, 82, 94, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ] | |||
140B16 | 210 | 2 | 105 | 6 | 0 | [ 1, 0, 70, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 71, 70, 35, 1 ] , [ 85, 112, 112, 29 ] , [ 89, 12, 24, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ] | |||
140C16 | 252 | 2 | 126 | 12 | 0 | [ 1, 60, 120, 61 ] , [ 11, 42, 9, 9 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 41, 120, 40, 1 ] , [ 61, 20, 40, 121 ] , [ 81, 42, 44, 9 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ] | |||
^ | Level 144 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/144Z) Matrix Generators |
144A16 | 192 | 2 | 32 | 0 | 0 | [ 1, 48, 0, 1 ] , [ 1, 72, 72, 1 ] , [ 1, 108, 36, 1 ] , [ 41, 136, 48, 89 ] , [ 49, 128, 96, 1 ] , [ 55, 0, 72, 55 ] , [ 73, 72, 0, 73 ] , [ 73, 117, 81, 118 ] , [ 77, 10, 75, 107 ] , [ 97, 0, 0, 49 ] , [ 109, 36, 72, 37 ] | |||
144B16 | 216 | 1 | 54 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] | |||
144C16 | 216 | 1 | 54 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] | |||
144D16 | 216 | 1 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 74, 113, 71, 124 ] , [ 83, 122, 134, 79 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] | |||
144E16 | 216 | 1 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 74, 113, 71, 124 ] , [ 83, 122, 134, 79 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] | |||
144F16 | 216 | 2 | 27 | 8 | 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 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] , [ 136, 117, 99, 136 ] | |||
144G16 | 216 | 2 | 54 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] | |||
144H16 | 216 | 2 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 27, 26, 118, 135 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 90, 89, 127, 108 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ] | |||
^ | Level 148 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/148Z) Matrix Generators |
148A16 | 228 | 1 | 114 | 4 | 0 | [ 1, 0, 37, 1 ] , [ 1, 0, 74, 1 ] , [ 9, 36, 52, 93 ] , [ 13, 72, 72, 137 ] , [ 75, 0, 74, 75 ] , [ 81, 20, 0, 53 ] , [ 93, 98, 84, 1 ] , [ 121, 52, 0, 137 ] | |||
^ | Level 150 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/150Z) Matrix Generators |
150A16 | 270 | 1 | 90 | 6 | 0 | [ 1, 0, 75, 1 ] , [ 31, 90, 90, 121 ] , [ 37, 32, 20, 143 ] , [ 51, 50, 100, 51 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 119, 0, 120, 29 ] | |||
^ | Level 152 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/152Z) Matrix Generators |
152A16 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 38, 1 ] , [ 1, 0, 76, 1 ] , [ 1, 0, 95, 1 ] , [ 17, 8, 120, 137 ] , [ 25, 80, 120, 1 ] , [ 33, 16, 88, 121 ] , [ 49, 0, 144, 121 ] , [ 53, 92, 104, 149 ] , [ 85, 80, 60, 69 ] , [ 97, 48, 36, 57 ] , [ 107, 148, 111, 47 ] | |||
^ | Level 156 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/156Z) Matrix Generators |
156A16 | 252 | 1 | 42 | 12 | 0 | [ 13, 120, 147, 145 ] , [ 25, 138, 48, 109 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 85, 112, 28, 125 ] , [ 93, 88, 152, 117 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ] | |||
156B16 | 252 | 2 | 42 | 12 | 0 | [ 1, 0, 39, 1 ] , [ 1, 0, 78, 1 ] , [ 1, 84, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 104, 104, 1 ] , [ 79, 0, 78, 79 ] , [ 105, 52, 104, 105 ] , [ 109, 144, 36, 49 ] , [ 133, 54, 60, 49 ] | |||
^ | Level 160 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/160Z) Matrix Generators |
160A16 | 240 | 1 | 30 | 0 | 0 | [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 33, 0, 32, 97 ] , [ 41, 120, 40, 121 ] , [ 61, 60, 20, 101 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 97, 32, 64, 97 ] , [ 116, 95, 25, 106 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] , [ 129, 128, 96, 1 ] | |||
^ | Level 162 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/162Z) Matrix Generators |
162A16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 108, 1 ] , [ 19, 54, 66, 145 ] , [ 55, 0, 36, 109 ] , [ 61, 18, 94, 49 ] , [ 67, 18, 0, 133 ] , [ 82, 81, 81, 1 ] , [ 91, 54, 0, 73 ] , [ 107, 27, 111, 134 ] , [ 109, 0, 0, 55 ] | |||
162B16 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 31, 117, 161, 106 ] , [ 37, 108, 132, 127 ] , [ 67, 18, 0, 133 ] , [ 82, 81, 81, 1 ] , [ 91, 54, 0, 73 ] , [ 107, 27, 111, 134 ] , [ 109, 0, 0, 55 ] , [ 109, 0, 72, 55 ] | |||
162C16 | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 108, 1 ] , [ 13, 9, 119, 70 ] , [ 19, 54, 84, 145 ] , [ 55, 0, 54, 109 ] , [ 55, 0, 90, 109 ] , [ 67, 27, 31, 160 ] , [ 91, 0, 102, 73 ] , [ 143, 0, 48, 17 ] , [ 154, 135, 45, 91 ] | |||
162D16 | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 108, 1 ] , [ 13, 0, 112, 25 ] , [ 19, 54, 84, 145 ] , [ 55, 0, 54, 109 ] , [ 55, 0, 90, 109 ] , [ 55, 27, 27, 28 ] , [ 91, 0, 102, 73 ] , [ 121, 144, 146, 151 ] , [ 143, 0, 48, 17 ] | |||
162E16 | Γ0(162) | 324 | 1 | 108 | 0 | 0 | [ 1, 0, 81, 1 ] , [ 1, 0, 108, 1 ] , [ 19, 54, 12, 145 ] , [ 37, 54, 0, 127 ] , [ 55, 0, 36, 109 ] , [ 85, 126, 0, 61 ] , [ 107, 108, 30, 53 ] , [ 109, 0, 0, 55 ] , [ 151, 0, 14, 103 ] | ||
^ | Level 168 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/168Z) Matrix Generators |
168A16 | 192 | 2 | 32 | 0 | 0 | [ 1, 56, 56, 113 ] , [ 1, 84, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 1, 147, 63, 22 ] , [ 29, 98, 77, 127 ] , [ 73, 24, 120, 97 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 155, 0, 84, 155 ] | |||
168B16 | 192 | 2 | 96 | 0 | 0 | [ 1, 84, 84, 1 ] , [ 1, 147, 63, 22 ] , [ 29, 98, 77, 127 ] , [ 73, 24, 120, 97 ] , [ 85, 0, 84, 85 ] , [ 85, 42, 105, 127 ] , [ 97, 0, 0, 97 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 141, 154, 161, 15 ] , [ 155, 0, 84, 155 ] | |||
168C16 | 252 | 2 | 42 | 18 | 0 | [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] | |||
168D16 | 252 | 2 | 42 | 18 | 0 | [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 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, 14, 119, 1 ] | |||
168E16 | 252 | 2 | 63 | 20 | 0 | [ 1, 0, 84, 1 ] , [ 1, 28, 28, 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, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] | |||
168F16 | 252 | 2 | 126 | 18 | 0 | [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 140, 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, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] | |||
168G16 | 252 | 2 | 126 | 18 | 0 | [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 43, 126, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 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 ] | |||
^ | Level 169 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/169Z) Matrix Generators |
169A16 | 364 | 1 | 182 | 0 | 4 | [ 12, 0, 65, 155 ] , [ 25, 19, 112, 146 ] , [ 35, 78, 106, 159 ] , [ 105, 0, 13, 66 ] , [ 144, 78, 104, 27 ] | |||
^ | Level 175 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/175Z) Matrix Generators |
175A16 | 210 | 2 | 210 | 6 | 0 | [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ] , [ 169, 91, 56, 113 ] | |||
175B16 | 210 | 2 | 210 | 6 | 0 | [ 15, 63, 133, 22 ] , [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ] | |||
175C16 | 210 | 2 | 210 | 6 | 0 | [ 26, 100, 50, 51 ] , [ 43, 49, 84, 169 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ] | |||
175D16 | 210 | 2 | 210 | 6 | 0 | [ 15, 133, 63, 92 ] , [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ] | |||
^ | Level 176 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/176Z) Matrix Generators |
176A16 | 192 | 2 | 96 | 0 | 0 | [ 1, 44, 44, 1 ] , [ 1, 88, 88, 1 ] , [ 1, 110, 77, 23 ] , [ 12, 33, 99, 67 ] , [ 23, 0, 88, 23 ] , [ 33, 96, 48, 161 ] , [ 65, 0, 0, 65 ] , [ 81, 80, 96, 97 ] , [ 89, 88, 0, 89 ] , [ 133, 132, 0, 45 ] | |||
176B16 | 264 | 2 | 33 | 24 | 0 | [ 1, 0, 88, 1 ] , [ 1, 88, 132, 1 ] , [ 23, 0, 88, 23 ] , [ 45, 0, 132, 133 ] , [ 47, 142, 145, 161 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 0, 89 ] , [ 129, 146, 103, 47 ] , [ 133, 132, 154, 133 ] , [ 155, 110, 165, 133 ] | |||
^ | Level 180 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/180Z) Matrix Generators |
180A16 | 240 | 1 | 40 | 0 | 12 | [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 61, 40, 120, 61 ] , [ 61, 120, 0, 121 ] , [ 73, 36, 0, 37 ] , [ 91, 90, 0, 91 ] , [ 101, 140, 150, 101 ] , [ 109, 0, 0, 109 ] , [ 121, 120, 0, 61 ] , [ 145, 144, 36, 109 ] , [ 166, 75, 15, 61 ] | |||
180B16 | 240 | 2 | 20 | 0 | 12 | [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 1, 120, 0, 1 ] , [ 5, 84, 66, 29 ] , [ 37, 0, 108, 73 ] , [ 49, 36, 84, 25 ] , [ 61, 0, 0, 121 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 121, 140, 60, 1 ] , [ 136, 45, 135, 91 ] | |||
180C16 | 240 | 2 | 40 | 0 | 12 | [ 1, 160, 60, 61 ] , [ 37, 144, 0, 73 ] , [ 61, 0, 0, 121 ] , [ 85, 44, 36, 169 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 108, 36, 1 ] , [ 121, 45, 165, 106 ] , [ 121, 60, 0, 61 ] , [ 125, 36, 174, 161 ] | |||
^ | Level 184 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/184Z) Matrix Generators |
184A16 | 192 | 2 | 96 | 0 | 0 | [ 1, 92, 92, 1 ] , [ 17, 120, 96, 169 ] , [ 47, 0, 0, 47 ] , [ 47, 69, 115, 24 ] , [ 93, 92, 0, 93 ] , [ 137, 0, 0, 137 ] , [ 139, 46, 161, 93 ] , [ 161, 72, 176, 73 ] | |||
^ | Level 186 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/186Z) Matrix Generators |
186A16 | 192 | 1 | 32 | 0 | 0 | [ 43, 36, 12, 49 ] , [ 55, 156, 114, 19 ] , [ 61, 0, 0, 61 ] , [ 63, 62, 124, 63 ] , [ 91, 144, 60, 97 ] , [ 94, 93, 93, 1 ] , [ 125, 0, 0, 125 ] , [ 125, 62, 62, 1 ] | |||
186B16 | 192 | 1 | 96 | 0 | 0 | [ 43, 36, 12, 49 ] , [ 55, 156, 114, 19 ] , [ 61, 0, 0, 61 ] , [ 63, 62, 31, 63 ] , [ 91, 144, 60, 97 ] , [ 94, 93, 93, 1 ] , [ 125, 0, 0, 125 ] , [ 125, 62, 62, 1 ] | |||
^ | Level 188 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/188Z) Matrix Generators |
188A16 | 192 | 1 | 48 | 0 | 0 | [ 1, 47, 47, 142 ] , [ 33, 4, 120, 157 ] , [ 45, 48, 128, 53 ] , [ 93, 0, 94, 93 ] , [ 95, 0, 94, 95 ] , [ 95, 94, 0, 95 ] | |||
188B16 | 192 | 1 | 192 | 0 | 0 | [ 1, 94, 141, 95 ] , [ 37, 44, 0, 61 ] , [ 48, 141, 47, 95 ] , [ 95, 0, 0, 95 ] , [ 109, 84, 76, 81 ] , [ 129, 28, 88, 57 ] | |||
^ | Level 191 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/191Z) Matrix Generators |
191A16 | Γ0(191) | 192 | 1 | 192 | 0 | 0 | [ 121, 80, 124, 52 ] , [ 158, 48, 106, 31 ] , [ 172, 1, 183, 121 ] , [ 190, 0, 0, 190 ] | ||
^ | Level 195 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/195Z) Matrix Generators |
195A16 | 210 | 1 | 70 | 6 | 0 | [ 1, 30, 45, 181 ] , [ 46, 120, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 157, 182, 104, 92 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ] | |||
^ | Level 197 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/197Z) Matrix Generators |
197A16 | Γ0(197) | 198 | 1 | 198 | 2 | 0 | [ 2, 90, 59, 193 ] , [ 27, 176, 192, 55 ] , [ 196, 0, 0, 196 ] | ||
^ | Level 199 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/199Z) Matrix Generators |
199A16 | Γ0(199) | 200 | 1 | 200 | 0 | 2 | [ 1, 134, 175, 168 ] , [ 28, 5, 190, 169 ] , [ 198, 0, 0, 198 ] | ||
^ | Level 201 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/201Z) Matrix Generators |
201A16 | 204 | 2 | 68 | 0 | 3 | [ 37, 90, 195, 181 ] , [ 43, 84, 180, 160 ] , [ 68, 0, 0, 68 ] , [ 68, 134, 134, 1 ] , [ 87, 100, 38, 46 ] , [ 135, 134, 67, 135 ] , [ 200, 0, 0, 200 ] | |||
^ | Level 202 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/202Z) Matrix Generators |
202A16 | 204 | 1 | 102 | 4 | 0 | [ 1, 101, 101, 102 ] , [ 21, 152, 54, 35 ] , [ 43, 126, 74, 137 ] , [ 61, 14, 199, 49 ] , [ 63, 56, 190, 15 ] , [ 113, 38, 42, 91 ] | |||
^ | Level 203 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/203Z) Matrix Generators |
203A16 | 210 | 2 | 210 | 6 | 0 | [ 34, 130, 3, 113 ] , [ 36, 21, 77, 169 ] , [ 69, 90, 135, 29 ] , [ 71, 161, 77, 106 ] , [ 89, 76, 124, 58 ] , [ 89, 189, 34, 38 ] , [ 146, 0, 0, 146 ] , [ 162, 84, 133, 183 ] , [ 190, 7, 28, 141 ] | |||
^ | Level 206 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/206Z) Matrix Generators |
206A16 | 208 | 1 | 104 | 0 | 4 | [ 17, 202, 194, 15 ] , [ 89, 172, 28, 193 ] , [ 91, 48, 178, 69 ] , [ 104, 103, 103, 1 ] , [ 121, 80, 26, 87 ] | |||
^ | Level 210 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/210Z) Matrix Generators |
210A16 | 210 | 2 | 35 | 0 | 6 | [ 1, 150, 60, 181 ] , [ 1, 180, 150, 121 ] , [ 29, 0, 0, 29 ] , [ 29, 98, 28, 15 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 28, 196, 169 ] , [ 71, 70, 70, 1 ] , [ 106, 105, 105, 1 ] , [ 127, 70, 112, 113 ] , [ 141, 140, 70, 141 ] , [ 181, 0, 0, 181 ] | |||
210B16 | 210 | 2 | 35 | 0 | 6 | [ 1, 140, 140, 71 ] , [ 1, 150, 60, 181 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 85, 182, 42, 169 ] , [ 106, 105, 105, 1 ] , [ 127, 140, 182, 113 ] , [ 127, 196, 70, 113 ] , [ 141, 70, 140, 141 ] , [ 151, 150, 90, 31 ] , [ 181, 0, 0, 181 ] | |||
210C16 | 210 | 2 | 70 | 0 | 6 | [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 31, 60, 120, 151 ] , [ 43, 84, 0, 127 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 127, 0, 42, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 169, 168, 168, 85 ] , [ 176, 105, 35, 71 ] , [ 181, 0, 0, 181 ] | |||
210D16 | 210 | 2 | 105 | 8 | 0 | [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 35, 1 ] , [ 106, 105, 105, 1 ] , [ 113, 0, 168, 197 ] , [ 127, 126, 0, 43 ] , [ 141, 140, 175, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 165, 61 ] , [ 190, 147, 147, 169 ] | |||
210E16 | 240 | 1 | 80 | 0 | 12 | [ 1, 70, 70, 71 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 71, 105, 175, 176 ] , [ 91, 60, 180, 181 ] , [ 115, 96, 114, 139 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ] | |||
210F16 | 240 | 2 | 40 | 0 | 12 | [ 1, 70, 70, 71 ] , [ 61, 150, 60, 151 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 97, 168, 56, 97 ] , [ 106, 105, 105, 1 ] , [ 127, 126, 0, 43 ] , [ 127, 168, 56, 127 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 150, 30, 91 ] | |||
210G16 | 240 | 2 | 40 | 0 | 12 | [ 1, 140, 140, 71 ] , [ 29, 0, 0, 29 ] , [ 41, 80, 100, 21 ] , [ 43, 0, 168, 127 ] , [ 71, 0, 0, 71 ] , [ 91, 120, 90, 121 ] , [ 106, 105, 105, 1 ] , [ 127, 84, 168, 169 ] , [ 139, 147, 189, 76 ] , [ 141, 70, 140, 141 ] , [ 169, 42, 84, 1 ] | |||
210H16 | 252 | 2 | 126 | 20 | 0 | [ 1, 150, 60, 181 ] , [ 7, 150, 114, 193 ] , [ 31, 180, 150, 31 ] , [ 57, 140, 154, 183 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 167, 130, 94, 43 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 187, 90, 159, 163 ] | |||
^ | Level 218 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/218Z) Matrix Generators |
218A16 | 220 | 1 | 110 | 4 | 4 | [ 53, 94, 14, 103 ] , [ 73, 164, 94, 35 ] , [ 110, 109, 109, 1 ] , [ 115, 76, 156, 105 ] , [ 129, 16, 174, 3 ] , [ 215, 20, 163, 3 ] , [ 217, 0, 0, 217 ] | |||
^ | Level 220 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/220Z) Matrix Generators |
220A16 | 220 | 2 | 220 | 6 | 4 | [ 1, 110, 55, 111 ] , [ 21, 0, 0, 21 ] , [ 54, 99, 11, 65 ] , [ 67, 63, 195, 98 ] , [ 86, 63, 83, 25 ] , [ 89, 0, 0, 89 ] , [ 89, 176, 88, 1 ] , [ 111, 0, 0, 111 ] , [ 166, 55, 55, 1 ] , [ 177, 0, 44, 133 ] | |||
^ | Level 222 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/222Z) Matrix Generators |
222A16 | 228 | 1 | 38 | 12 | 0 | [ 37, 168, 24, 187 ] , [ 43, 114, 81, 127 ] , [ 75, 74, 148, 75 ] , [ 91, 156, 216, 19 ] , [ 112, 111, 111, 1 ] , [ 115, 60, 66, 19 ] , [ 149, 0, 0, 149 ] , [ 149, 74, 74, 1 ] , [ 205, 66, 6, 55 ] | |||
222B16 | 228 | 2 | 38 | 12 | 0 | [ 1, 148, 148, 149 ] , [ 13, 186, 150, 97 ] , [ 61, 36, 72, 199 ] , [ 73, 180, 27, 97 ] , [ 75, 148, 74, 75 ] , [ 85, 174, 52, 49 ] , [ 112, 111, 111, 1 ] , [ 121, 42, 6, 103 ] , [ 149, 0, 0, 149 ] | |||
^ | Level 228 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/228Z) Matrix Generators |
228A16 | 240 | 1 | 40 | 0 | 12 | [ 1, 38, 38, 77 ] , [ 1, 152, 152, 77 ] , [ 37, 24, 60, 193 ] , [ 39, 38, 76, 39 ] , [ 73, 42, 36, 205 ] , [ 77, 0, 0, 77 ] , [ 77, 152, 152, 1 ] , [ 101, 164, 188, 145 ] , [ 121, 192, 168, 97 ] , [ 191, 133, 95, 96 ] | |||
228B16 | 240 | 2 | 40 | 0 | 12 | [ 1, 76, 76, 77 ] , [ 1, 96, 100, 25 ] , [ 1, 152, 152, 77 ] , [ 1, 190, 190, 77 ] , [ 13, 84, 96, 217 ] , [ 37, 152, 38, 113 ] , [ 77, 0, 0, 77 ] , [ 191, 171, 133, 20 ] , [ 191, 190, 76, 115 ] , [ 193, 48, 12, 205 ] | |||
^ | Level 234 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/234Z) Matrix Generators |
234A16 | 252 | 1 | 126 | 20 | 0 | [ 10, 171, 99, 172 ] , [ 53, 0, 0, 53 ] , [ 53, 130, 130, 1 ] , [ 79, 0, 156, 157 ] , [ 118, 117, 117, 1 ] , [ 127, 126, 108, 109 ] , [ 157, 78, 0, 79 ] , [ 181, 0, 0, 181 ] , [ 183, 130, 182, 105 ] , [ 193, 54, 96, 79 ] | |||
^ | Level 243 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/243Z) Matrix Generators |
243A16 | 324 | 1 | 108 | 0 | 0 | [ 1, 0, 126, 1 ] , [ 1, 0, 135, 1 ] , [ 1, 0, 162, 1 ] , [ 1, 0, 204, 1 ] , [ 82, 0, 81, 163 ] , [ 136, 0, 216, 109 ] , [ 178, 81, 60, 157 ] , [ 190, 162, 97, 217 ] , [ 208, 0, 153, 118 ] , [ 242, 0, 0, 242 ] |