[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:
14
16
17
20
21
23
24
26
28
30
34
35
36
39
40
42
43
45
48
51
52
54
56
60
63
64
66
67
68
70
72
76
77
80
84
85
88
90
92
93
95
96
98
99
100
102
104
105
108
110
112
120
124
126
128
132
135
136
138
140
141
144
150
153
154
155
156
160
161
165
168
170
171
174
175
177
178
179
180
182
186
187
193
194
195
196
200
204
208
210
240
^ | Level 14 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/14Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
14A15 | 336 | 1 | 56 | 0 | 6 | [ 1, 9, 9, 12 ] , [ 13, 0, 0, 13 ] | |||
^ | Level 16 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/16Z) Matrix Generators |
16A15 | 384 | 1 | 48 | 8 | 0 | [ 7, 8, 8, 7 ] , [ 8, 3, 5, 8 ] , [ 9, 8, 8, 9 ] , [ 15, 0, 0, 15 ] | |||
^ | Level 17 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/17Z) Matrix Generators |
17A15 | 272 | 1 | 136 | 0 | 2 | [ 5, 14, 16, 11 ] , [ 8, 10, 9, 5 ] , [ 16, 0, 0, 16 ] | |||
17B15 | 306 | 1 | 153 | 10 | 0 | [ 1, 5, 12, 10 ] , [ 6, 14, 1, 11 ] , [ 10, 4, 13, 7 ] , [ 16, 0, 0, 16 ] | |||
17C15 | 306 | 1 | 153 | 10 | 0 | [ 1, 5, 12, 10 ] , [ 3, 11, 13, 14 ] , [ 10, 4, 13, 7 ] , [ 16, 0, 0, 16 ] | |||
^ | Level 20 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/20Z) Matrix Generators |
20A15 | 240 | 1 | 1 | 0 | 0 | [ 1, 10, 10, 1 ] , [ 1, 15, 15, 6 ] , [ 9, 0, 10, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] | |||
20B15 | 240 | 1 | 4 | 0 | 0 | [ 1, 15, 15, 6 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 15, 1 ] | |||
20C15 | 240 | 1 | 10 | 0 | 0 | [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 11, 10, 0, 11 ] , [ 19, 10, 10, 19 ] | |||
20D15 | 240 | 1 | 10 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 13, 0, 16, 17 ] | |||
20E15 | 240 | 1 | 30 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] , [ 17, 0, 14, 13 ] | |||
20F15 | 240 | 1 | 60 | 0 | 0 | [ 1, 15, 15, 6 ] , [ 3, 0, 16, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] | |||
20G15 | 240 | 1 | 60 | 0 | 0 | [ 1, 10, 5, 11 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 8, 5 ] , [ 11, 0, 0, 11 ] | |||
20H15 | 240 | 2 | 30 | 0 | 0 | [ 5, 12, 12, 9 ] , [ 11, 0, 10, 11 ] , [ 17, 0, 9, 13 ] , [ 19, 0, 0, 19 ] | |||
20I15 | 360 | 1 | 90 | 4 | 0 | [ 11, 0, 10, 11 ] , [ 11, 10, 10, 11 ] , [ 13, 6, 15, 7 ] , [ 19, 0, 0, 19 ] | |||
^ | Level 21 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/21Z) Matrix Generators |
21A15 | 252 | 1 | 63 | 4 | 0 | [ 7, 3, 9, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 16, 8, 17, 2 ] | |||
21B15 | 252 | 1 | 63 | 4 | 0 | [ 7, 18, 12, 7 ] , [ 8, 0, 0, 8 ] , [ 8, 14, 14, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 15, 3, 19 ] | |||
^ | Level 23 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/23Z) Matrix Generators |
23A15 | 276 | 1 | 276 | 12 | 0 | [ 1, 19, 13, 18 ] , [ 16, 17, 16, 7 ] , [ 22, 0, 0, 22 ] | |||
^ | Level 24 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/24Z) Matrix Generators |
24A15 | 288 | 1 | 9 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 8, 21 ] , [ 21, 16, 20, 21 ] | |||
24B15 | 288 | 1 | 9 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 23, 0, 0, 23 ] | |||
24C15 | 288 | 1 | 12 | 0 | 0 | [ 1, 12, 0, 1 ] , [ 7, 0, 0, 7 ] , [ 7, 18, 21, 13 ] , [ 13, 0, 12, 13 ] , [ 17, 0, 0, 17 ] | |||
24D15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 11, 8, 8, 19 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 12, 23 ] , [ 23, 8, 14, 7 ] | |||
24E15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 5, 0, 18, 5 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 6, 19 ] | |||
24F15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 3, 10, 20, 3 ] , [ 9, 22, 8, 9 ] , [ 9, 22, 20, 9 ] , [ 13, 12, 12, 13 ] , [ 15, 2, 4, 15 ] , [ 17, 12, 0, 17 ] , [ 23, 0, 12, 23 ] | |||
24G15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 7, 8, 17, 23 ] , [ 13, 0, 6, 13 ] , [ 17, 0, 18, 17 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ] , [ 23, 16, 7, 7 ] , [ 23, 16, 19, 7 ] | |||
24H15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 5, 16, 7, 13 ] , [ 11, 16, 7, 19 ] , [ 13, 8, 11, 5 ] , [ 17, 0, 18, 17 ] , [ 19, 8, 5, 11 ] , [ 19, 8, 23, 11 ] | |||
24I15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 4, 16, 17 ] , [ 5, 0, 18, 5 ] , [ 13, 0, 18, 13 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 6, 19 ] | |||
24J15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 12, 0, 1 ] , [ 3, 22, 20, 3 ] , [ 7, 12, 12, 7 ] , [ 17, 0, 12, 17 ] , [ 17, 12, 0, 17 ] , [ 21, 22, 20, 21 ] , [ 23, 0, 12, 23 ] | |||
24K15 | 288 | 1 | 36 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 11, 0, 12, 11 ] , [ 11, 14, 5, 13 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 6, 19 ] | |||
24L15 | 288 | 1 | 36 | 8 | 0 | [ 1, 12, 12, 1 ] , [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 16, 17, 23, 8 ] , [ 17, 0, 12, 17 ] , [ 20, 7, 1, 4 ] , [ 23, 0, 0, 23 ] | |||
24M15 | 288 | 1 | 36 | 8 | 0 | [ 7, 0, 0, 7 ] , [ 7, 16, 16, 23 ] , [ 16, 13, 19, 8 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 19, 12, 12, 19 ] | |||
24N15 | 288 | 1 | 36 | 8 | 0 | [ 5, 8, 8, 13 ] , [ 7, 0, 0, 7 ] , [ 16, 13, 19, 8 ] , [ 17, 0, 0, 17 ] , [ 19, 12, 12, 19 ] | |||
24O15 | 288 | 1 | 36 | 16 | 0 | [ 1, 12, 12, 1 ] , [ 5, 20, 20, 13 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 12, 23, 1, 12 ] , [ 17, 12, 12, 17 ] | |||
24P15 | 288 | 1 | 36 | 16 | 0 | [ 0, 23, 1, 0 ] , [ 1, 12, 12, 1 ] , [ 1, 16, 16, 17 ] , [ 7, 0, 0, 7 ] , [ 7, 12, 12, 7 ] , [ 16, 23, 17, 8 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ] | |||
24Q15 | 288 | 1 | 36 | 16 | 0 | [ 7, 0, 0, 7 ] , [ 13, 4, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 20, 7, 1, 4 ] , [ 20, 13, 19, 4 ] , [ 23, 0, 0, 23 ] | |||
24R15 | 288 | 1 | 36 | 16 | 0 | [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 13, 0, 0, 13 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 20, 19, 13, 4 ] | |||
24S15 | 288 | 1 | 72 | 16 | 0 | [ 7, 0, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 15, 4, 14, 15 ] , [ 17, 0, 12, 17 ] , [ 23, 10, 19, 1 ] | |||
24T15 | 288 | 1 | 72 | 16 | 0 | [ 5, 0, 0, 5 ] , [ 9, 20, 10, 9 ] , [ 11, 14, 17, 13 ] , [ 13, 0, 12, 13 ] , [ 19, 0, 0, 19 ] , [ 23, 0, 0, 23 ] | |||
24U15 | 288 | 2 | 36 | 8 | 0 | [ 1, 0, 12, 1 ] , [ 5, 20, 2, 13 ] , [ 5, 20, 14, 13 ] , [ 7, 0, 0, 7 ] , [ 11, 6, 9, 5 ] , [ 17, 0, 0, 17 ] | |||
^ | Level 26 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/26Z) Matrix Generators |
26A15 | 273 | 1 | 273 | 7 | 0 | [ 1, 0, 13, 1 ] , [ 3, 6, 20, 23 ] , [ 13, 14, 12, 25 ] , [ 17, 2, 24, 9 ] , [ 25, 0, 0, 25 ] | |||
^ | Level 28 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/28Z) Matrix Generators |
28A15 | 224 | 1 | 112 | 0 | 2 | [ 1, 12, 8, 13 ] , [ 9, 16, 0, 25 ] , [ 13, 0, 0, 13 ] , [ 15, 7, 21, 8 ] , [ 27, 0, 0, 27 ] | |||
28B15 | 224 | 1 | 112 | 0 | 2 | [ 1, 7, 7, 22 ] , [ 1, 14, 21, 15 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 16, 21 ] , [ 15, 0, 0, 15 ] | |||
28C15 | 252 | 1 | 63 | 4 | 0 | [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 5, 16, 11, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] | |||
28D15 | 252 | 1 | 63 | 4 | 0 | [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 9, 12, 24, 1 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] | |||
28E15 | 252 | 1 | 126 | 10 | 0 | [ 1, 14, 7, 15 ] , [ 1, 26, 1, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 2, 17, 7 ] | |||
28F15 | 252 | 1 | 126 | 10 | 0 | [ 5, 8, 16, 9 ] , [ 9, 24, 8, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 14, 1 ] , [ 21, 12, 4, 21 ] | |||
28G15 | 252 | 2 | 63 | 4 | 0 | [ 1, 0, 14, 1 ] , [ 1, 14, 21, 15 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 3, 21 ] | |||
28H15 | 252 | 2 | 126 | 10 | 0 | [ 1, 14, 7, 15 ] , [ 1, 26, 1, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 0, 15 ] , [ 21, 16, 24, 21 ] | |||
^ | Level 30 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/30Z) Matrix Generators |
30A15 | 240 | 1 | 40 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] , [ 25, 24, 6, 25 ] | |||
30B15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 5, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 10, 19 ] | |||
30C15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 15, 15, 16 ] , [ 7, 24, 20, 13 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 10, 19 ] | |||
30D15 | 240 | 1 | 60 | 8 | 0 | [ 16, 15, 15, 1 ] , [ 17, 10, 19, 13 ] , [ 19, 18, 18, 25 ] , [ 23, 10, 16, 7 ] , [ 29, 0, 0, 29 ] | |||
30E15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 0, 20, 1 ] , [ 5, 24, 1, 5 ] , [ 11, 0, 20, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 25 ] | |||
30F15 | 270 | 1 | 135 | 10 | 0 | [ 1, 0, 15, 1 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ] | |||
^ | Level 34 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/34Z) Matrix Generators |
34A15 | 272 | 1 | 136 | 16 | 2 | [ 1, 17, 17, 18 ] , [ 3, 28, 13, 31 ] , [ 5, 14, 16, 11 ] , [ 25, 10, 26, 5 ] , [ 33, 0, 0, 33 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A15 | 210 | 1 | 105 | 2 | 0 | [ 6, 0, 0, 6 ] , [ 6, 25, 30, 26 ] , [ 8, 7, 21, 1 ] , [ 15, 7, 7, 15 ] , [ 15, 21, 14, 15 ] , [ 26, 5, 20, 16 ] , [ 29, 0, 0, 29 ] | |||
35B15 | 240 | 1 | 80 | 0 | 0 | [ 1, 0, 25, 1 ] , [ 1, 7, 21, 8 ] , [ 6, 0, 0, 6 ] , [ 22, 0, 7, 8 ] , [ 29, 0, 0, 29 ] | |||
35C15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 25, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 0, 0, 11 ] , [ 22, 0, 7, 8 ] , [ 29, 0, 0, 29 ] | |||
35D15 | 252 | 1 | 126 | 4 | 0 | [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 21, 25, 5, 21 ] , [ 26, 15, 10, 26 ] , [ 33, 15, 24, 12 ] , [ 34, 0, 0, 34 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A15 | 216 | 1 | 9 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 24, 12, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 9, 1 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ] | |||
36B15 | 216 | 1 | 9 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 13, 0, 24, 25 ] , [ 13, 24, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 28, 13, 25 ] | |||
36C15 | 216 | 1 | 9 | 0 | 0 | [ 19, 0, 0, 19 ] , [ 19, 0, 18, 19 ] , [ 23, 0, 30, 11 ] , [ 25, 0, 12, 13 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ] | |||
36D15 | 216 | 1 | 9 | 0 | 0 | [ 1, 18, 18, 1 ] , [ 13, 24, 0, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 12, 13 ] , [ 29, 10, 22, 25 ] | |||
36E15 | 216 | 1 | 54 | 4 | 0 | [ 1, 18, 18, 1 ] , [ 1, 35, 26, 11 ] , [ 13, 24, 24, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 9, 27, 28 ] , [ 19, 18, 0, 19 ] , [ 29, 6, 24, 5 ] | |||
36F15 | 216 | 1 | 108 | 4 | 0 | [ 1, 24, 12, 1 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ] , [ 33, 8, 28, 9 ] | |||
36G15 | 216 | 1 | 108 | 4 | 0 | [ 1, 12, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 21, 22, 11, 3 ] , [ 31, 27, 9, 16 ] , [ 35, 24, 12, 35 ] | |||
36H15 | 216 | 1 | 108 | 4 | 0 | [ 1, 12, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 21, 22, 29, 3 ] , [ 31, 27, 9, 16 ] , [ 35, 24, 12, 35 ] | |||
36I15 | 216 | 2 | 27 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 28, 35, 33 ] , [ 35, 12, 24, 35 ] | |||
36J15 | 216 | 2 | 27 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 5, 0, 12, 29 ] , [ 5, 14, 14, 25 ] , [ 7, 10, 28, 35 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] | |||
36K15 | 216 | 2 | 27 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 12, 24, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 12, 13 ] , [ 27, 4, 2, 15 ] | |||
36L15 | 216 | 2 | 54 | 4 | 0 | [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 0, 13 ] , [ 25, 24, 24, 13 ] , [ 33, 10, 35, 15 ] , [ 35, 12, 24, 35 ] | |||
36M15 | 216 | 2 | 54 | 4 | 0 | [ 1, 24, 12, 1 ] , [ 19, 0, 0, 19 ] , [ 23, 24, 24, 11 ] , [ 25, 0, 12, 13 ] , [ 29, 26, 35, 19 ] , [ 31, 4, 22, 11 ] | |||
36N15 | 216 | 2 | 54 | 4 | 0 | [ 1, 4, 28, 5 ] , [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 28, 9, 27, 28 ] , [ 29, 12, 12, 5 ] | |||
36O15 | 216 | 2 | 108 | 4 | 0 | [ 1, 34, 1, 35 ] , [ 4, 33, 15, 7 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 35, 0, 0, 35 ] | |||
36P15 | 288 | 1 | 24 | 24 | 0 | [ 1, 9, 9, 10 ] , [ 20, 1, 31, 16 ] , [ 25, 0, 12, 13 ] , [ 25, 24, 24, 13 ] , [ 35, 0, 0, 35 ] | |||
36Q15 | 288 | 1 | 72 | 8 | 0 | [ 0, 35, 1, 0 ] , [ 1, 12, 24, 1 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] | |||
36R15 | 288 | 1 | 72 | 8 | 0 | [ 0, 17, 19, 0 ] , [ 1, 12, 24, 1 ] , [ 22, 27, 27, 25 ] , [ 25, 0, 0, 13 ] , [ 35, 0, 0, 35 ] | |||
36S15 | 288 | 1 | 144 | 8 | 0 | [ 0, 17, 19, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 13, 21, 21, 34 ] , [ 35, 0, 0, 35 ] | |||
36T15 | 288 | 1 | 144 | 8 | 0 | [ 0, 35, 1, 0 ] , [ 1, 0, 12, 1 ] , [ 1, 12, 12, 1 ] , [ 13, 21, 21, 34 ] , [ 35, 0, 0, 35 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A15 | 273 | 1 | 91 | 21 | 0 | [ 4, 15, 24, 22 ] , [ 13, 27, 12, 25 ] , [ 14, 0, 0, 14 ] , [ 14, 26, 26, 1 ] , [ 16, 6, 33, 10 ] , [ 25, 0, 0, 25 ] , [ 27, 26, 13, 27 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A15 | 240 | 1 | 30 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 15, 32, 2, 31 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 15, 31 ] , [ 31, 20, 10, 31 ] | |||
40B15 | 240 | 1 | 30 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 5, 36, 24, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 0, 30, 9 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 10, 31 ] | |||
40C15 | 240 | 1 | 30 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ] | |||
40D15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 31, 10, 5, 21 ] | |||
40E15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 20, 21 ] , [ 25, 16, 19, 25 ] , [ 31, 0, 10, 31 ] | |||
40F15 | 240 | 1 | 60 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 21, 0, 0, 21 ] , [ 25, 16, 14, 25 ] , [ 31, 10, 5, 21 ] | |||
40G15 | 240 | 1 | 60 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 11, 0, 20, 11 ] , [ 15, 14, 21, 25 ] , [ 21, 38, 13, 35 ] , [ 31, 0, 0, 31 ] | |||
40H15 | 240 | 1 | 60 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 1, 30, 35, 11 ] , [ 9, 0, 0, 9 ] , [ 13, 10, 19, 27 ] , [ 21, 0, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] | |||
40I15 | 240 | 1 | 60 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] | |||
40J15 | 240 | 1 | 60 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 5, 12, 12, 21 ] , [ 9, 32, 32, 25 ] , [ 15, 34, 21, 5 ] , [ 19, 0, 20, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 10, 21 ] | |||
40K15 | 240 | 1 | 80 | 12 | 0 | [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 0, 32, 33 ] , [ 24, 5, 35, 24 ] , [ 26, 35, 35, 21 ] , [ 32, 25, 7, 8 ] , [ 39, 0, 0, 39 ] | |||
40L15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 5, 16, 4, 5 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 0, 35, 21 ] , [ 31, 0, 10, 31 ] | |||
40M15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 25, 16, 24, 25 ] , [ 31, 0, 10, 31 ] | |||
40N15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 7, 0, 26, 23 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 20, 31 ] , [ 31, 20, 10, 31 ] | |||
40O15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 17, 0, 16, 33 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 10, 31 ] | |||
40P15 | 240 | 1 | 120 | 4 | 0 | [ 1, 20, 0, 1 ] , [ 9, 0, 0, 9 ] , [ 13, 10, 19, 27 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 15, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] | |||
40Q15 | 240 | 1 | 120 | 4 | 0 | [ 1, 20, 0, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 21, 10, 35, 11 ] , [ 25, 8, 8, 9 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 24, 17 ] | |||
40R15 | 240 | 1 | 120 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 15, 14, 21, 25 ] , [ 21, 10, 35, 11 ] , [ 21, 38, 13, 35 ] , [ 31, 0, 0, 31 ] | |||
40S15 | 240 | 1 | 120 | 8 | 0 | [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 32, 32, 25 ] , [ 21, 10, 35, 11 ] , [ 21, 38, 13, 35 ] , [ 25, 24, 16, 25 ] , [ 31, 0, 0, 31 ] | |||
40T15 | 240 | 2 | 30 | 0 | 0 | [ 9, 0, 20, 9 ] , [ 17, 0, 6, 33 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 25, 8, 8, 9 ] , [ 31, 8, 8, 15 ] , [ 31, 30, 10, 11 ] | |||
40U15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 11, 4, 12, 19 ] , [ 15, 32, 32, 7 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 33, 16, 16, 9 ] , [ 33, 32, 32, 25 ] | |||
40V15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] | |||
40W15 | 288 | 1 | 36 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 10, 30, 11 ] , [ 31, 12, 4, 39 ] | |||
40X15 | 288 | 1 | 36 | 0 | 0 | [ 1, 24, 32, 9 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 10, 30, 11 ] | |||
40Y15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 17, 8, 8, 25 ] , [ 23, 10, 18, 27 ] , [ 25, 14, 6, 5 ] , [ 29, 20, 20, 29 ] | |||
40Z15 | 288 | 1 | 72 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 2, 15, 17, 28 ] , [ 11, 30, 10, 31 ] , [ 19, 10, 30, 39 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] | |||
40AA15 | 288 | 1 | 72 | 0 | 0 | [ 1, 10, 30, 21 ] , [ 4, 13, 11, 26 ] , [ 17, 24, 24, 1 ] , [ 19, 10, 30, 39 ] , [ 21, 20, 20, 21 ] , [ 33, 16, 16, 9 ] | |||
40AB15 | 288 | 1 | 72 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 38, 6, 21 ] , [ 11, 30, 10, 31 ] , [ 21, 20, 20, 21 ] , [ 33, 0, 28, 17 ] , [ 33, 16, 16, 9 ] | |||
40AC15 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 20, 20, 1 ] , [ 4, 9, 39, 28 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 39, 0, 0, 39 ] | |||
40AD15 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 11, 20, 20, 11 ] , [ 17, 8, 8, 25 ] , [ 21, 20, 20, 21 ] , [ 29, 20, 20, 29 ] , [ 33, 10, 38, 37 ] | |||
40AE15 | 288 | 1 | 72 | 8 | 0 | [ 4, 9, 39, 28 ] , [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 21, 20, 20, 21 ] , [ 32, 17, 15, 8 ] , [ 39, 0, 0, 39 ] | |||
40AF15 | 288 | 1 | 72 | 8 | 0 | [ 9, 0, 0, 9 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 28 ] , [ 17, 0, 32, 33 ] , [ 21, 20, 20, 21 ] , [ 39, 0, 0, 39 ] | |||
40AG15 | 288 | 2 | 36 | 8 | 0 | [ 1, 20, 20, 1 ] , [ 9, 24, 24, 33 ] , [ 12, 17, 15, 8 ] , [ 21, 20, 20, 21 ] , [ 36, 17, 39, 4 ] , [ 39, 0, 0, 39 ] | |||
40AH15 | 288 | 2 | 36 | 8 | 0 | [ 14, 31, 13, 6 ] , [ 21, 0, 0, 21 ] , [ 21, 20, 20, 21 ] , [ 24, 13, 11, 16 ] , [ 25, 32, 32, 17 ] , [ 39, 20, 20, 39 ] | |||
40AI15 | 288 | 2 | 72 | 8 | 0 | [ 6, 39, 37, 34 ] , [ 9, 0, 0, 9 ] , [ 17, 8, 8, 25 ] , [ 25, 32, 32, 17 ] , [ 29, 4, 4, 13 ] , [ 31, 34, 2, 19 ] , [ 33, 16, 16, 9 ] , [ 39, 0, 0, 39 ] | |||
40AJ15 | 360 | 1 | 90 | 4 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 30, 1 ] , [ 1, 0, 35, 1 ] , [ 9, 20, 0, 9 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 10, 31 ] , [ 33, 14, 0, 17 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A15 | 224 | 1 | 112 | 0 | 2 | [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] , [ 41, 9, 6, 29 ] | |||
42B15 | 224 | 1 | 112 | 0 | 2 | [ 1, 0, 28, 1 ] , [ 1, 21, 21, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] | |||
42C15 | 252 | 1 | 63 | 16 | 0 | [ 1, 30, 18, 37 ] , [ 1, 33, 36, 13 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42D15 | 252 | 1 | 84 | 12 | 0 | [ 1, 19, 22, 41 ] , [ 1, 21, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 30, 6, 1 ] , [ 15, 7, 14, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 30, 0, 25 ] | |||
42E15 | 252 | 2 | 63 | 16 | 0 | [ 1, 28, 28, 29 ] , [ 1, 30, 39, 37 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42F15 | 252 | 2 | 63 | 16 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 21, 26, 4, 21 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42G15 | 252 | 2 | 63 | 16 | 0 | [ 9, 40, 17, 15 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 25, 4, 22, 17 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 37, 34, 40, 5 ] | |||
42H15 | 252 | 2 | 63 | 16 | 0 | [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 25, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 6, 12, 19 ] | |||
42I15 | 252 | 2 | 126 | 16 | 0 | [ 1, 40, 1, 41 ] , [ 13, 0, 0, 13 ] , [ 19, 36, 30, 37 ] , [ 27, 26, 31, 33 ] , [ 28, 3, 9, 13 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ] | |||
^ | Level 43 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/43Z) Matrix Generators |
43A15 | 308 | 1 | 44 | 0 | 14 | [ 1, 11, 31, 41 ] , [ 30, 5, 21, 15 ] , [ 32, 26, 4, 10 ] , [ 37, 24, 32, 8 ] , [ 42, 0, 0, 42 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A15 | 216 | 1 | 18 | 0 | 0 | [ 10, 18, 18, 37 ] , [ 16, 0, 15, 31 ] , [ 19, 36, 36, 28 ] , [ 31, 15, 15, 16 ] , [ 34, 15, 0, 4 ] , [ 38, 24, 24, 14 ] , [ 41, 6, 18, 29 ] | |||
45B15 | 216 | 1 | 18 | 0 | 0 | [ 1, 30, 15, 1 ] , [ 11, 15, 15, 41 ] , [ 16, 25, 25, 11 ] , [ 28, 9, 9, 19 ] , [ 31, 0, 30, 16 ] , [ 31, 25, 40, 41 ] , [ 44, 30, 15, 44 ] | |||
45C15 | 216 | 2 | 54 | 0 | 0 | [ 1, 15, 30, 1 ] , [ 4, 0, 30, 34 ] , [ 16, 15, 0, 31 ] , [ 16, 35, 35, 26 ] , [ 19, 36, 36, 28 ] , [ 41, 30, 30, 11 ] | |||
45D15 | 240 | 1 | 40 | 0 | 6 | [ 1, 0, 15, 1 ] , [ 1, 15, 40, 16 ] , [ 14, 0, 0, 29 ] , [ 16, 0, 0, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 10 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A15 | 192 | 1 | 12 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 32, 8, 17 ] , [ 17, 0, 0, 17 ] , [ 25, 12, 12, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 12, 24, 13 ] , [ 47, 24, 24, 47 ] | |||
48B15 | 192 | 1 | 12 | 0 | 0 | [ 13, 12, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 25, 0, 24, 25 ] , [ 25, 24, 0, 25 ] , [ 34, 3, 3, 13 ] , [ 37, 24, 12, 13 ] , [ 47, 0, 0, 47 ] | |||
48C15 | 192 | 1 | 24 | 0 | 0 | [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 7, 12, 36, 7 ] , [ 10, 3, 27, 37 ] , [ 13, 24, 36, 37 ] , [ 17, 0, 24, 17 ] , [ 17, 32, 20, 1 ] , [ 25, 0, 24, 25 ] | |||
48D15 | 192 | 2 | 8 | 0 | 0 | [ 1, 12, 36, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 39, 9, 28 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 0, 25 ] , [ 31, 12, 36, 31 ] , [ 34, 27, 27, 13 ] , [ 37, 12, 24, 13 ] | |||
48E15 | 288 | 1 | 9 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 7, 0, 12, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 40, 4, 7 ] , [ 25, 0, 24, 25 ] , [ 35, 16, 40, 43 ] | |||
48F15 | 288 | 1 | 9 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 23, 16, 28, 7 ] , [ 25, 0, 24, 25 ] , [ 37, 24, 12, 13 ] | |||
48G15 | 288 | 1 | 12 | 0 | 0 | [ 1, 6, 42, 13 ] , [ 1, 24, 24, 1 ] , [ 7, 36, 12, 7 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 22, 39, 21, 46 ] , [ 25, 0, 0, 25 ] , [ 37, 24, 24, 13 ] | |||
48H15 | 288 | 1 | 12 | 24 | 0 | [ 0, 5, 19, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48I15 | 288 | 1 | 12 | 24 | 0 | [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 25, 24, 24, 25 ] , [ 45, 40, 8, 21 ] , [ 47, 0, 0, 47 ] | |||
48J15 | 288 | 1 | 12 | 24 | 0 | [ 0, 1, 47, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] | |||
48K15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 5, 28, 28, 13 ] , [ 17, 4, 40, 1 ] , [ 25, 0, 0, 25 ] , [ 41, 24, 0, 41 ] , [ 47, 0, 12, 47 ] | |||
48L15 | 288 | 1 | 24 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] | |||
48M15 | 288 | 1 | 24 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 44, 38, 5 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] | |||
48N15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 13, 0, 33, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 41, 0, 42, 41 ] , [ 47, 0, 0, 47 ] | |||
48O15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 9, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 42, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] | |||
48P15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 9, 40, 17, 33 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 9, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 25, 0, 24, 25 ] , [ 41, 0, 42, 41 ] , [ 47, 0, 0, 47 ] | |||
48Q15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 18, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 41, 0, 42, 41 ] , [ 45, 16, 17, 21 ] , [ 47, 0, 0, 47 ] | |||
48R15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 5, 16, 7, 13 ] , [ 13, 24, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 30, 17 ] , [ 25, 0, 24, 25 ] , [ 31, 0, 12, 31 ] | |||
48S15 | 288 | 1 | 36 | 16 | 0 | [ 1, 24, 24, 1 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 44, 1, 31, 4 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] | |||
48T15 | 288 | 1 | 36 | 16 | 0 | [ 1, 24, 24, 1 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 12, 12, 47 ] | |||
48U15 | 288 | 1 | 36 | 16 | 0 | [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 44, 1, 31, 4 ] , [ 47, 0, 0, 47 ] | |||
48V15 | 288 | 1 | 36 | 16 | 0 | [ 1, 24, 24, 1 ] , [ 8, 47, 17, 40 ] , [ 16, 13, 43, 32 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 28, 1, 31, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48W15 | 288 | 1 | 36 | 24 | 0 | [ 0, 5, 19, 0 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 36, 1 ] , [ 13, 40, 40, 5 ] , [ 17, 0, 0, 17 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] | |||
48X15 | 288 | 1 | 36 | 24 | 0 | [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 13, 0, 0, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48Y15 | 288 | 1 | 36 | 24 | 0 | [ 0, 1, 47, 0 ] , [ 1, 20, 20, 17 ] , [ 13, 12, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 47, 0, 0, 47 ] | |||
48Z15 | 288 | 1 | 36 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 7, 2, 23, 41 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 36, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 4, 22, 17 ] , [ 37, 44, 14, 5 ] , [ 47, 0, 0, 47 ] | |||
48AA15 | 288 | 1 | 36 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 24, 36, 17 ] , [ 31, 2, 47, 17 ] , [ 31, 44, 26, 23 ] , [ 41, 0, 0, 41 ] , [ 43, 28, 46, 11 ] , [ 47, 0, 0, 47 ] | |||
48AB15 | 288 | 1 | 72 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 11, 38, 5, 13 ] , [ 17, 24, 36, 17 ] , [ 23, 34, 7, 25 ] , [ 25, 0, 24, 25 ] , [ 31, 26, 23, 41 ] , [ 35, 10, 7, 13 ] , [ 47, 0, 0, 47 ] | |||
48AC15 | 288 | 1 | 72 | 16 | 0 | [ 1, 0, 24, 1 ] , [ 5, 0, 12, 29 ] , [ 9, 20, 34, 33 ] , [ 17, 24, 0, 17 ] , [ 23, 34, 19, 1 ] , [ 25, 0, 24, 25 ] , [ 35, 24, 36, 11 ] , [ 41, 24, 36, 41 ] | |||
48AD15 | 288 | 1 | 72 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 21, 44, 22, 21 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] | |||
48AE15 | 288 | 1 | 72 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 5, 12, 6, 5 ] , [ 13, 44, 14, 29 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 12, 17 ] , [ 21, 44, 22, 21 ] , [ 39, 34, 47, 9 ] , [ 47, 0, 0, 47 ] | |||
48AF15 | 288 | 2 | 36 | 24 | 0 | [ 1, 0, 24, 1 ] , [ 13, 28, 22, 29 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 36, 41 ] , [ 43, 34, 19, 5 ] , [ 47, 0, 0, 47 ] | |||
^ | Level 51 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/51Z) Matrix Generators |
51A15 | 216 | 1 | 18 | 0 | 0 | [ 1, 0, 15, 1 ] , [ 4, 0, 48, 13 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 44, 0, 39, 29 ] , [ 49, 0, 42, 25 ] | |||
51B15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 39, 1 ] , [ 1, 0, 45, 1 ] , [ 4, 0, 18, 13 ] , [ 10, 34, 4, 29 ] , [ 16, 0, 0, 16 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 3, 25 ] | |||
^ | Level 52 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/52Z) Matrix Generators |
52A15 | 336 | 1 | 28 | 0 | 24 | [ 1, 26, 26, 1 ] , [ 9, 28, 20, 45 ] , [ 25, 0, 26, 25 ] , [ 27, 26, 0, 27 ] , [ 30, 15, 35, 21 ] | |||
^ | Level 54 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/54Z) Matrix Generators |
54A15 | 243 | 2 | 243 | 13 | 0 | [ 11, 46, 22, 43 ] , [ 13, 30, 30, 7 ] , [ 31, 30, 12, 43 ] , [ 37, 36, 36, 19 ] , [ 47, 12, 48, 41 ] , [ 51, 2, 22, 39 ] , [ 51, 40, 47, 39 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A15 | 224 | 2 | 28 | 0 | 8 | [ 1, 28, 28, 1 ] , [ 17, 24, 48, 25 ] , [ 22, 21, 49, 1 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 28, 0, 43 ] , [ 49, 24, 16, 41 ] , [ 49, 40, 32, 49 ] | |||
56B15 | 224 | 2 | 112 | 8 | 2 | [ 1, 28, 28, 1 ] , [ 1, 54, 29, 55 ] , [ 9, 16, 0, 25 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 14, 49, 55 ] , [ 43, 35, 49, 36 ] , [ 55, 0, 0, 55 ] | |||
56C15 | 224 | 2 | 112 | 8 | 2 | [ 1, 28, 28, 1 ] , [ 1, 40, 8, 41 ] , [ 1, 54, 29, 55 ] , [ 9, 16, 0, 25 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 35, 49, 36 ] , [ 55, 0, 0, 55 ] | |||
56D15 | 224 | 2 | 112 | 8 | 2 | [ 1, 7, 35, 22 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 48, 8, 49 ] , [ 49, 16, 24, 49 ] | |||
56E15 | 252 | 1 | 63 | 16 | 0 | [ 1, 14, 35, 43 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 30, 17, 7 ] | |||
56F15 | 252 | 1 | 126 | 10 | 0 | [ 1, 0, 42, 1 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 30, 17, 7 ] | |||
56G15 | 252 | 1 | 126 | 10 | 0 | [ 1, 0, 42, 1 ] , [ 1, 40, 8, 41 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] | |||
56H15 | 252 | 2 | 126 | 10 | 0 | [ 1, 0, 42, 1 ] , [ 1, 54, 1, 55 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 29, 42, 49, 15 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A15 | 216 | 1 | 18 | 0 | 0 | [ 21, 40, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 59, 0, 0, 59 ] | |||
60B15 | 216 | 1 | 18 | 0 | 0 | [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 57, 25, 32, 33 ] , [ 57, 55, 32, 33 ] , [ 59, 0, 0, 59 ] | |||
60C15 | 216 | 1 | 18 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 1, 40, 40, 41 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] | |||
60D15 | 216 | 1 | 18 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 40, 40, 41 ] , [ 31, 0, 30, 31 ] , [ 37, 20, 32, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 43, 40, 58, 47 ] , [ 49, 0, 0, 49 ] | |||
60E15 | 216 | 1 | 54 | 0 | 0 | [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 20, 2, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 47, 30, 12, 23 ] | |||
60F15 | 216 | 1 | 54 | 0 | 0 | [ 21, 40, 20, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 20, 2, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] | |||
60G15 | 216 | 1 | 54 | 0 | 0 | [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 47, 30, 42, 23 ] | |||
60H15 | 216 | 1 | 54 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 21, 20, 40, 21 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 31, 55, 10, 41 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] | |||
60I15 | 216 | 1 | 54 | 0 | 0 | [ 1, 25, 10, 11 ] , [ 17, 40, 22, 13 ] , [ 21, 40, 20, 21 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ] | |||
60J15 | 216 | 1 | 54 | 0 | 0 | [ 21, 40, 50, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 15, 30, 1 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] | |||
60K15 | 216 | 1 | 54 | 0 | 0 | [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 51, 55, 20, 51 ] | |||
60L15 | 216 | 1 | 54 | 0 | 0 | [ 21, 40, 50, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] | |||
60M15 | 216 | 1 | 54 | 0 | 0 | [ 1, 25, 40, 41 ] , [ 21, 40, 20, 21 ] , [ 27, 10, 32, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] | |||
60N15 | 216 | 1 | 54 | 0 | 0 | [ 1, 20, 20, 41 ] , [ 11, 0, 0, 11 ] , [ 21, 20, 10, 21 ] , [ 25, 12, 12, 37 ] , [ 27, 10, 2, 3 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] | |||
60O15 | 216 | 2 | 54 | 0 | 0 | [ 1, 25, 40, 41 ] , [ 17, 40, 52, 13 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 0, 31 ] , [ 37, 40, 22, 53 ] , [ 41, 0, 0, 41 ] , [ 41, 30, 0, 41 ] , [ 59, 0, 0, 59 ] | |||
60P15 | 240 | 1 | 20 | 0 | 12 | [ 1, 20, 20, 41 ] , [ 25, 12, 12, 49 ] , [ 31, 10, 40, 11 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 41, 25, 5, 6 ] , [ 49, 0, 30, 49 ] , [ 51, 40, 50, 51 ] | |||
60Q15 | 240 | 1 | 20 | 0 | 12 | [ 1, 20, 20, 41 ] , [ 1, 30, 30, 1 ] , [ 1, 40, 40, 41 ] , [ 29, 28, 8, 45 ] , [ 31, 30, 0, 31 ] , [ 39, 40, 20, 39 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] | |||
60R15 | 240 | 1 | 30 | 16 | 0 | [ 1, 12, 42, 25 ] , [ 5, 16, 19, 25 ] , [ 16, 45, 15, 31 ] , [ 25, 4, 31, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] | |||
60S15 | 240 | 1 | 30 | 16 | 0 | [ 1, 12, 42, 25 ] , [ 9, 40, 20, 9 ] , [ 16, 45, 15, 31 ] , [ 25, 44, 11, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] | |||
60T15 | 240 | 1 | 40 | 0 | 12 | [ 1, 30, 30, 1 ] , [ 11, 25, 35, 36 ] , [ 13, 0, 36, 37 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 30, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 12, 25 ] , [ 49, 36, 48, 1 ] | |||
60U15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 25, 54, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 41, 0, 55, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] | |||
60V15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 50, 1 ] , [ 25, 24, 36, 25 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 20, 41 ] , [ 41, 0, 55, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] | |||
60W15 | 240 | 1 | 120 | 16 | 0 | [ 1, 40, 40, 41 ] , [ 11, 50, 35, 1 ] , [ 13, 20, 56, 17 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] | |||
60X15 | 240 | 1 | 120 | 16 | 0 | [ 1, 40, 40, 41 ] , [ 13, 0, 36, 37 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] , [ 51, 10, 35, 21 ] | |||
60Y15 | 240 | 2 | 20 | 0 | 12 | [ 1, 30, 30, 1 ] , [ 9, 32, 52, 5 ] , [ 19, 6, 48, 31 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 30, 41 ] , [ 43, 30, 36, 7 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] | |||
60Z15 | 240 | 2 | 30 | 16 | 0 | [ 1, 12, 42, 25 ] , [ 16, 45, 15, 31 ] , [ 21, 20, 40, 21 ] , [ 25, 44, 11, 5 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 48, 48, 25 ] | |||
60AA15 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 30, 31 ] , [ 41, 24, 32, 29 ] , [ 41, 30, 50, 41 ] , [ 49, 0, 0, 49 ] | |||
60AB15 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 1, 24, 12, 49 ] , [ 25, 12, 12, 37 ] , [ 31, 30, 30, 31 ] , [ 41, 30, 50, 41 ] , [ 49, 0, 0, 49 ] | |||
60AC15 | 288 | 1 | 144 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 3, 55 ] , [ 17, 0, 32, 53 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 5, 41 ] , [ 49, 0, 0, 49 ] | |||
60AD15 | 288 | 1 | 144 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 48, 3, 55 ] , [ 37, 0, 12, 13 ] , [ 37, 48, 48, 25 ] , [ 41, 0, 5, 41 ] , [ 49, 0, 0, 49 ] | |||
60AE15 | 288 | 2 | 24 | 24 | 0 | [ 1, 20, 20, 41 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] | |||
60AF15 | 288 | 2 | 72 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 31, 0, 30, 31 ] , [ 31, 30, 30, 31 ] , [ 37, 0, 57, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 30, 49 ] , [ 49, 24, 24, 13 ] | |||
60AG15 | 288 | 2 | 72 | 24 | 0 | [ 11, 20, 20, 31 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 3, 1 ] , [ 21, 40, 20, 21 ] , [ 41, 0, 0, 41 ] , [ 49, 24, 24, 13 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A15 | 252 | 1 | 252 | 20 | 0 | [ 1, 18, 45, 55 ] , [ 8, 49, 49, 1 ] , [ 15, 28, 35, 57 ] , [ 22, 0, 42, 43 ] , [ 22, 49, 28, 8 ] , [ 28, 36, 27, 55 ] , [ 29, 21, 21, 50 ] , [ 34, 38, 11, 29 ] , [ 43, 14, 35, 29 ] , [ 43, 21, 0, 22 ] , [ 55, 0, 0, 55 ] | |||
^ | Level 64 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/64Z) Matrix Generators |
64A15 | 192 | 1 | 12 | 0 | 0 | [ 1, 8, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 36, 24, 17 ] , [ 21, 16, 0, 61 ] , [ 21, 42, 60, 53 ] , [ 25, 0, 0, 41 ] , [ 27, 0, 32, 19 ] , [ 33, 0, 0, 33 ] , [ 45, 0, 32, 37 ] , [ 49, 0, 0, 17 ] , [ 57, 6, 36, 33 ] | |||
64B15 | 192 | 1 | 12 | 0 | 0 | [ 1, 8, 48, 1 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 36, 24, 17 ] , [ 21, 16, 0, 61 ] , [ 21, 40, 16, 61 ] , [ 25, 0, 0, 41 ] , [ 27, 0, 32, 19 ] , [ 33, 0, 0, 33 ] , [ 45, 0, 32, 37 ] , [ 49, 0, 0, 17 ] , [ 57, 6, 4, 33 ] | |||
64C15 | 192 | 1 | 12 | 0 | 0 | [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 13, 14, 36, 29 ] , [ 17, 0, 0, 49 ] , [ 21, 48, 0, 61 ] , [ 33, 0, 0, 33 ] , [ 33, 28, 8, 1 ] , [ 33, 56, 16, 33 ] , [ 41, 32, 0, 25 ] , [ 45, 16, 0, 37 ] , [ 63, 0, 0, 63 ] | |||
64D15 | 192 | 1 | 12 | 0 | 0 | [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 17, 0, 0, 49 ] , [ 21, 48, 0, 61 ] , [ 29, 34, 28, 13 ] , [ 33, 0, 0, 33 ] , [ 33, 28, 8, 1 ] , [ 33, 56, 16, 33 ] , [ 41, 32, 0, 25 ] , [ 45, 16, 0, 37 ] , [ 63, 0, 0, 63 ] | |||
64E15 | 192 | 1 | 24 | 0 | 0 | [ 1, 32, 0, 1 ] , [ 9, 0, 32, 57 ] , [ 9, 38, 4, 17 ] , [ 17, 0, 0, 49 ] , [ 17, 8, 48, 49 ] , [ 17, 42, 28, 9 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 32, 33 ] , [ 37, 46, 36, 5 ] , [ 45, 18, 60, 61 ] , [ 57, 36, 24, 41 ] , [ 63, 0, 0, 63 ] | |||
64F15 | 192 | 1 | 24 | 0 | 0 | [ 1, 16, 32, 1 ] , [ 1, 20, 56, 33 ] , [ 1, 32, 0, 1 ] , [ 1, 48, 32, 1 ] , [ 3, 26, 60, 51 ] , [ 13, 26, 60, 61 ] , [ 13, 34, 44, 61 ] , [ 17, 0, 0, 49 ] , [ 33, 40, 48, 33 ] , [ 33, 48, 32, 33 ] , [ 41, 0, 32, 25 ] , [ 57, 2, 28, 1 ] , [ 57, 32, 32, 9 ] | |||
64G15 | 192 | 1 | 48 | 0 | 0 | [ 12, 13, 11, 60 ] , [ 15, 56, 40, 47 ] , [ 17, 32, 0, 49 ] , [ 18, 11, 33, 38 ] , [ 21, 18, 2, 17 ] , [ 33, 32, 32, 33 ] , [ 41, 16, 0, 25 ] , [ 45, 60, 28, 53 ] , [ 49, 16, 16, 17 ] , [ 49, 48, 48, 17 ] , [ 57, 56, 56, 9 ] , [ 62, 45, 23, 26 ] , [ 63, 48, 16, 63 ] | |||
64H15 | 192 | 1 | 48 | 0 | 0 | [ 17, 16, 16, 49 ] , [ 17, 48, 48, 49 ] , [ 20, 11, 13, 52 ] , [ 25, 0, 48, 41 ] , [ 31, 24, 40, 31 ] , [ 33, 32, 32, 33 ] , [ 37, 52, 20, 61 ] , [ 39, 42, 58, 51 ] , [ 41, 40, 40, 25 ] , [ 49, 0, 32, 17 ] , [ 63, 32, 32, 63 ] | |||
64I15 | 192 | 1 | 48 | 0 | 0 | [ 13, 44, 12, 21 ] , [ 15, 8, 24, 47 ] , [ 17, 8, 24, 49 ] , [ 17, 40, 56, 49 ] , [ 24, 9, 7, 16 ] , [ 27, 22, 38, 31 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 41, 40, 40, 25 ] , [ 47, 24, 8, 15 ] , [ 49, 48, 48, 17 ] , [ 57, 24, 24, 9 ] , [ 63, 48, 16, 63 ] | |||
64J15 | 192 | 1 | 48 | 0 | 0 | [ 9, 0, 16, 57 ] , [ 9, 40, 40, 57 ] , [ 12, 29, 27, 12 ] , [ 17, 0, 32, 49 ] , [ 17, 16, 16, 49 ] , [ 17, 38, 22, 53 ] , [ 29, 60, 28, 5 ] , [ 33, 32, 32, 33 ] , [ 41, 40, 40, 25 ] , [ 53, 52, 20, 45 ] , [ 63, 48, 16, 63 ] | |||
64K15 | 192 | 2 | 48 | 0 | 0 | [ 1, 32, 32, 1 ] , [ 17, 24, 40, 49 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 36, 31, 1, 8 ] , [ 47, 16, 16, 15 ] , [ 47, 52, 12, 31 ] , [ 49, 16, 16, 17 ] , [ 57, 8, 40, 9 ] , [ 61, 60, 60, 37 ] , [ 63, 0, 0, 63 ] | |||
64L15 | 192 | 2 | 48 | 0 | 0 | [ 1, 32, 32, 1 ] , [ 17, 24, 40, 49 ] , [ 33, 16, 48, 33 ] , [ 33, 32, 32, 33 ] , [ 33, 48, 16, 33 ] , [ 36, 31, 1, 8 ] , [ 47, 16, 16, 15 ] , [ 47, 52, 12, 31 ] , [ 49, 16, 16, 17 ] , [ 51, 20, 52, 43 ] , [ 57, 8, 40, 9 ] , [ 63, 0, 0, 63 ] | |||
^ | Level 66 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/66Z) Matrix Generators |
66A15 | 216 | 1 | 108 | 0 | 0 | [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 34, 33, 33, 34 ] , [ 35, 24, 6, 23 ] , [ 43, 0, 0, 43 ] , [ 45, 44, 22, 45 ] , [ 61, 48, 24, 7 ] , [ 65, 0, 0, 65 ] | |||
^ | Level 67 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/67Z) Matrix Generators |
67A15 | 204 | 1 | 68 | 0 | 0 | [ 9, 7, 51, 10 ] , [ 22, 29, 31, 47 ] , [ 66, 0, 0, 66 ] | |||
^ | Level 68 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/68Z) Matrix Generators |
68A15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 44, 1 ] , [ 21, 0, 56, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 16, 35 ] , [ 35, 34, 20, 35 ] , [ 49, 0, 32, 25 ] , [ 65, 0, 46, 45 ] | |||
68B15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 48, 59 ] , [ 21, 0, 16, 13 ] , [ 25, 0, 24, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 34, 35 ] , [ 55, 34, 14, 47 ] , [ 58, 51, 21, 22 ] | |||
68C15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 34, 34, 1 ] , [ 13, 0, 20, 21 ] , [ 15, 0, 48, 59 ] , [ 21, 0, 16, 13 ] , [ 25, 0, 24, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 34, 34, 35 ] , [ 55, 34, 14, 47 ] , [ 58, 51, 1, 56 ] | |||
68D15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 0, 44, 1 ] , [ 21, 0, 56, 13 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 34, 16, 35 ] , [ 35, 34, 20, 35 ] , [ 49, 0, 32, 25 ] , [ 65, 0, 36, 45 ] | |||
68E15 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 12, 1 ] , [ 18, 17, 51, 18 ] , [ 21, 0, 32, 13 ] , [ 23, 34, 46, 3 ] , [ 25, 0, 36, 49 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 35, 0, 12, 35 ] , [ 53, 0, 40, 9 ] | |||
68F15 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 8, 1 ] , [ 1, 34, 17, 35 ] , [ 3, 34, 59, 57 ] , [ 13, 0, 44, 21 ] , [ 33, 0, 0, 33 ] , [ 35, 0, 0, 35 ] , [ 43, 0, 4, 19 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A15 | 210 | 1 | 105 | 8 | 0 | [ 26, 25, 65, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 56, 15 ] , [ 29, 56, 28, 1 ] , [ 31, 55, 10, 11 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 40, 20, 61 ] | |||
70B15 | 210 | 2 | 70 | 0 | 6 | [ 1, 14, 42, 29 ] , [ 8, 63, 49, 1 ] , [ 11, 10, 0, 51 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 60, 10, 1 ] , [ 43, 0, 56, 57 ] , [ 61, 30, 50, 51 ] | |||
70C15 | 210 | 2 | 105 | 8 | 0 | [ 1, 14, 7, 29 ] , [ 9, 16, 8, 61 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 43, 42, 0, 57 ] , [ 51, 60, 0, 11 ] , [ 61, 30, 50, 51 ] | |||
70D15 | 210 | 2 | 210 | 6 | 0 | [ 1, 0, 35, 1 ] , [ 21, 40, 60, 1 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 51, 40, 20, 61 ] , [ 57, 0, 0, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 20, 25, 61 ] | |||
70E15 | 252 | 1 | 126 | 16 | 0 | [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 25, 66 ] , [ 46, 41, 3, 24 ] , [ 51, 50, 10, 51 ] , [ 57, 42, 42, 15 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A15 | 192 | 1 | 16 | 0 | 0 | [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 23, 8, 24, 71 ] , [ 25, 0, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 49, 32, 24, 1 ] , [ 49, 56, 24, 1 ] , [ 61, 29, 69, 34 ] , [ 65, 32, 60, 65 ] , [ 65, 68, 24, 65 ] | |||
72B15 | 192 | 1 | 16 | 0 | 0 | [ 1, 12, 36, 1 ] , [ 1, 16, 48, 49 ] , [ 1, 24, 0, 1 ] , [ 1, 40, 48, 49 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 24, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] | |||
72C15 | 192 | 1 | 32 | 0 | 0 | [ 5, 44, 12, 5 ] , [ 13, 60, 0, 61 ] , [ 17, 68, 48, 65 ] , [ 25, 48, 0, 49 ] , [ 31, 44, 48, 31 ] , [ 49, 0, 0, 25 ] , [ 49, 8, 48, 49 ] , [ 58, 63, 39, 61 ] , [ 61, 0, 36, 13 ] , [ 67, 0, 0, 43 ] | |||
72D15 | 192 | 1 | 32 | 0 | 0 | [ 13, 60, 0, 61 ] , [ 25, 48, 0, 49 ] , [ 29, 68, 48, 53 ] , [ 41, 8, 48, 41 ] , [ 49, 0, 0, 25 ] , [ 49, 8, 48, 49 ] , [ 55, 8, 48, 7 ] , [ 58, 63, 39, 61 ] , [ 59, 8, 12, 59 ] , [ 61, 0, 36, 13 ] | |||
72E15 | 192 | 1 | 64 | 0 | 0 | [ 1, 24, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 54, 9, 37 ] , [ 25, 0, 0, 49 ] , [ 25, 48, 0, 49 ] , [ 37, 9, 9, 10 ] , [ 49, 24, 0, 25 ] , [ 49, 32, 24, 1 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 0, 41 ] | |||
72F15 | 216 | 1 | 18 | 0 | 0 | [ 1, 36, 0, 1 ] , [ 1, 45, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 27, 36, 53 ] , [ 19, 9, 36, 55 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 24, 24, 25 ] , [ 49, 48, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 56, 44, 37 ] | |||
72G15 | 216 | 1 | 18 | 0 | 0 | [ 1, 16, 64, 17 ] , [ 1, 36, 0, 1 ] , [ 1, 45, 36, 37 ] , [ 17, 0, 0, 17 ] , [ 17, 27, 36, 53 ] , [ 19, 9, 36, 55 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 24, 24, 25 ] , [ 49, 48, 0, 25 ] , [ 53, 0, 0, 53 ] | |||
72H15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 4, 4, 17 ] , [ 1, 40, 34, 65 ] , [ 5, 68, 8, 37 ] , [ 7, 4, 28, 47 ] , [ 7, 24, 48, 31 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 36, 37 ] , [ 41, 42, 3, 47 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] | |||
72I15 | 216 | 1 | 54 | 0 | 0 | [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 5, 6, 63, 47 ] , [ 7, 24, 48, 31 ] , [ 13, 4, 58, 29 ] , [ 13, 40, 28, 53 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 37, 0, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 59, 24, 48, 11 ] , [ 59, 24, 60, 11 ] | |||
72J15 | 216 | 1 | 54 | 8 | 0 | [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 36, 37 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 64, 27, 45, 28 ] , [ 65, 24, 24, 41 ] | |||
72K15 | 216 | 1 | 54 | 8 | 0 | [ 1, 27, 54, 19 ] , [ 1, 36, 0, 1 ] , [ 3, 50, 16, 51 ] , [ 17, 12, 24, 17 ] , [ 25, 24, 0, 49 ] , [ 33, 2, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 43, 52, 16, 11 ] , [ 49, 0, 48, 25 ] , [ 55, 36, 0, 55 ] , [ 59, 60, 0, 11 ] , [ 67, 69, 42, 25 ] | |||
72L15 | 216 | 1 | 108 | 10 | 0 | [ 1, 36, 36, 1 ] , [ 9, 8, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 28, 63, 9, 64 ] , [ 37, 0, 36, 37 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] | |||
72M15 | 216 | 1 | 108 | 10 | 0 | [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 45, 44, 28, 45 ] , [ 49, 16, 40, 41 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] | |||
72N15 | 216 | 2 | 27 | 8 | 0 | [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 8, 20, 41 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 20, 68, 35 ] , [ 49, 62, 56, 65 ] , [ 55, 5, 62, 41 ] , [ 55, 42, 12, 55 ] , [ 55, 48, 24, 55 ] | |||
72O15 | 216 | 2 | 27 | 8 | 0 | [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 17, 54, 36, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 56, 32, 17 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 44, 56, 59 ] , [ 47, 10, 52, 31 ] , [ 55, 5, 62, 41 ] , [ 55, 48, 24, 55 ] | |||
72P15 | 216 | 2 | 27 | 8 | 0 | [ 1, 36, 0, 1 ] , [ 9, 7, 50, 63 ] , [ 17, 28, 52, 1 ] , [ 17, 47, 62, 19 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 45, 61, 14, 27 ] , [ 47, 6, 60, 23 ] , [ 49, 24, 24, 25 ] | |||
72Q15 | 216 | 2 | 27 | 8 | 0 | [ 1, 36, 0, 1 ] , [ 17, 48, 24, 17 ] , [ 19, 30, 60, 19 ] , [ 35, 55, 70, 1 ] , [ 37, 36, 0, 37 ] , [ 41, 30, 12, 65 ] , [ 47, 24, 24, 23 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 51, 23, 34, 45 ] , [ 55, 0, 0, 55 ] , [ 71, 1, 34, 37 ] | |||
72R15 | 216 | 2 | 54 | 0 | 0 | [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 23, 54, 24, 47 ] , [ 29, 6, 24, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 47, 22, 28, 7 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] , [ 65, 33, 24, 41 ] | |||
72S15 | 216 | 2 | 54 | 0 | 0 | [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 23, 54, 24, 47 ] , [ 29, 6, 24, 5 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 32, 8, 17 ] , [ 49, 48, 0, 25 ] , [ 65, 33, 24, 41 ] | |||
72T15 | 216 | 2 | 54 | 4 | 0 | [ 1, 36, 0, 1 ] , [ 5, 51, 0, 29 ] , [ 9, 40, 2, 33 ] , [ 19, 18, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 6, 0, 49 ] , [ 27, 62, 46, 15 ] , [ 31, 6, 60, 7 ] , [ 37, 48, 24, 37 ] , [ 49, 24, 24, 25 ] , [ 57, 56, 22, 57 ] , [ 65, 48, 36, 41 ] | |||
72U15 | 216 | 2 | 54 | 4 | 0 | [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 13, 36, 48, 61 ] , [ 23, 45, 6, 65 ] , [ 25, 0, 24, 49 ] , [ 25, 8, 20, 41 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 43, 20, 68, 35 ] , [ 47, 10, 52, 31 ] , [ 55, 48, 24, 55 ] , [ 59, 51, 54, 65 ] | |||
72V15 | 216 | 2 | 54 | 4 | 0 | [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 7, 66, 48, 31 ] , [ 13, 36, 48, 61 ] , [ 25, 0, 24, 49 ] , [ 25, 56, 32, 17 ] , [ 29, 10, 16, 13 ] , [ 37, 24, 48, 37 ] , [ 41, 48, 48, 65 ] , [ 49, 62, 56, 65 ] , [ 55, 5, 62, 41 ] , [ 55, 48, 24, 55 ] | |||
72W15 | 216 | 2 | 54 | 8 | 0 | [ 1, 14, 8, 41 ] , [ 1, 36, 0, 1 ] , [ 5, 24, 0, 29 ] , [ 19, 36, 0, 19 ] , [ 21, 28, 44, 69 ] , [ 25, 2, 32, 17 ] , [ 25, 60, 0, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 18, 55 ] , [ 41, 48, 48, 65 ] , [ 49, 0, 48, 25 ] , [ 49, 48, 0, 25 ] | |||
72X15 | 216 | 2 | 108 | 10 | 0 | [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 45, 44, 28, 45 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ] | |||
72Y15 | 288 | 1 | 48 | 0 | 0 | [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 25, 0, 0, 49 ] , [ 25, 60, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 63, 19 ] , [ 37, 36, 36, 37 ] , [ 41, 30, 63, 11 ] , [ 41, 48, 0, 65 ] , [ 49, 16, 0, 25 ] , [ 55, 0, 0, 55 ] | |||
72Z15 | 288 | 2 | 144 | 32 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 13, 16, 40, 5 ] , [ 17, 32, 8, 49 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 48, 49 ] , [ 36, 19, 53, 60 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A15 | 228 | 2 | 228 | 10 | 3 | [ 20, 57, 19, 39 ] , [ 35, 32, 8, 3 ] , [ 39, 0, 0, 39 ] , [ 39, 38, 19, 1 ] , [ 59, 73, 34, 73 ] , [ 75, 0, 0, 75 ] | |||
^ | Level 77 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/77Z) Matrix Generators |
77A15 | 231 | 2 | 231 | 15 | 0 | [ 23, 11, 55, 23 ] , [ 34, 0, 0, 34 ] , [ 43, 0, 0, 43 ] , [ 50, 63, 14, 50 ] , [ 56, 44, 66, 56 ] , [ 65, 39, 62, 23 ] , [ 67, 11, 22, 45 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A15 | 192 | 1 | 24 | 0 | 0 | [ 1, 20, 60, 1 ] , [ 1, 32, 24, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 5, 65, 41 ] , [ 17, 64, 64, 1 ] , [ 21, 40, 20, 61 ] , [ 41, 0, 40, 41 ] , [ 63, 16, 16, 79 ] , [ 65, 32, 32, 17 ] | |||
80B15 | 192 | 1 | 24 | 0 | 0 | [ 1, 20, 60, 1 ] , [ 1, 40, 40, 1 ] , [ 6, 25, 45, 41 ] , [ 31, 20, 60, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 65, 64, 16, 65 ] | |||
80C15 | 192 | 1 | 48 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 7, 28, 68, 55 ] , [ 41, 0, 40, 41 ] , [ 41, 35, 55, 6 ] , [ 49, 0, 40, 49 ] , [ 49, 64, 64, 33 ] , [ 61, 0, 20, 21 ] , [ 71, 44, 72, 39 ] | |||
80D15 | 192 | 2 | 48 | 0 | 0 | [ 0, 3, 53, 68 ] , [ 1, 40, 40, 1 ] , [ 1, 60, 20, 1 ] , [ 6, 25, 45, 41 ] , [ 17, 48, 48, 65 ] , [ 31, 20, 60, 31 ] , [ 41, 40, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 40, 21 ] | |||
80E15 | 240 | 1 | 30 | 16 | 0 | [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 15, 54, 21, 65 ] , [ 31, 0, 0, 31 ] , [ 31, 68, 38, 55 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 71, 30, 5, 1 ] | |||
80F15 | 240 | 1 | 30 | 16 | 0 | [ 1, 0, 40, 1 ] , [ 1, 40, 60, 1 ] , [ 31, 0, 0, 31 ] , [ 31, 68, 38, 55 ] , [ 31, 70, 5, 1 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 51, 0, 20, 11 ] , [ 65, 64, 16, 65 ] | |||
80G15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 0, 75, 1 ] , [ 25, 56, 24, 25 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 20, 21 ] | |||
80H15 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 1, 0, 75, 1 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 20, 21 ] , [ 65, 16, 64, 65 ] | |||
80I15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 21, 40, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 45, 16, 4, 5 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 35, 21 ] | |||
80J15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 21, 40, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 0, 35, 21 ] , [ 65, 16, 64, 65 ] | |||
80K15 | 240 | 1 | 120 | 4 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 11, 40, 20, 51 ] , [ 15, 66, 29, 5 ] , [ 31, 10, 5, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 40, 40, 21 ] | |||
80L15 | 240 | 1 | 120 | 4 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 70, 1 ] , [ 11, 40, 20, 51 ] , [ 31, 50, 45, 21 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 32, 65 ] , [ 61, 40, 40, 21 ] , [ 65, 16, 64, 65 ] | |||
80M15 | 240 | 2 | 60 | 0 | 0 | [ 1, 0, 40, 1 ] , [ 1, 0, 60, 1 ] , [ 9, 40, 0, 9 ] , [ 21, 0, 60, 61 ] , [ 31, 0, 50, 31 ] , [ 41, 0, 40, 41 ] , [ 45, 44, 16, 5 ] , [ 49, 0, 70, 49 ] , [ 61, 60, 35, 41 ] , [ 65, 48, 48, 49 ] | |||
80N15 | 288 | 1 | 18 | 0 | 0 | [ 31, 10, 70, 51 ] , [ 31, 12, 44, 79 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 8, 16, 1 ] , [ 61, 20, 60, 21 ] , [ 65, 32, 32, 17 ] | |||
80O15 | 288 | 1 | 18 | 0 | 0 | [ 1, 32, 64, 49 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 60, 20, 71 ] | |||
80P15 | 288 | 1 | 36 | 0 | 0 | [ 1, 52, 24, 49 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 68, 17 ] , [ 33, 16, 16, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 40, 49 ] , [ 59, 58, 66, 31 ] | |||
80Q15 | 288 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 31, 52, 44, 79 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] | |||
80R15 | 288 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 6, 47, 9, 44 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] | |||
80S15 | 288 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 16, 15, 65, 46 ] , [ 16, 79, 17, 54 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] | |||
80T15 | 288 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 1, 64, 32, 49 ] , [ 16, 15, 65, 46 ] , [ 17, 48, 48, 65 ] , [ 31, 10, 70, 51 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 20, 60, 21 ] , [ 66, 15, 65, 16 ] | |||
80U15 | 288 | 1 | 72 | 0 | 0 | [ 1, 16, 16, 17 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 61, 60, 20, 21 ] , [ 65, 32, 32, 17 ] , [ 71, 30, 50, 11 ] | |||
80V15 | 288 | 1 | 72 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 4, 13, 51, 66 ] , [ 4, 63, 41, 46 ] , [ 17, 64, 64, 1 ] , [ 21, 20, 60, 61 ] , [ 33, 16, 16, 49 ] , [ 34, 63, 41, 76 ] , [ 41, 40, 40, 41 ] , [ 59, 10, 70, 39 ] | |||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A15 | 192 | 1 | 24 | 0 | 0 | [ 1, 42, 42, 1 ] , [ 13, 24, 72, 49 ] , [ 13, 56, 56, 41 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 70, 1 ] , [ 43, 42, 0, 43 ] , [ 73, 24, 36, 13 ] | |||
84B15 | 192 | 1 | 24 | 0 | 0 | [ 1, 42, 42, 1 ] , [ 13, 24, 72, 49 ] , [ 13, 56, 14, 41 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 42, 0, 43 ] , [ 73, 24, 36, 13 ] | |||
84C15 | 192 | 1 | 32 | 0 | 0 | [ 1, 28, 28, 29 ] , [ 1, 56, 56, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] | |||
84D15 | 192 | 1 | 48 | 0 | 0 | [ 1, 35, 14, 71 ] , [ 1, 42, 42, 1 ] , [ 1, 72, 72, 61 ] , [ 13, 0, 0, 13 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 42, 29 ] , [ 43, 0, 42, 43 ] , [ 73, 24, 36, 13 ] | |||
84E15 | 192 | 1 | 96 | 0 | 0 | [ 1, 28, 28, 29 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 57, 70, 77, 15 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] | |||
84F15 | 192 | 1 | 96 | 0 | 0 | [ 1, 42, 21, 43 ] , [ 1, 63, 63, 22 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 57, 70, 77, 15 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ] | |||
84G15 | 224 | 2 | 28 | 0 | 8 | [ 1, 28, 0, 1 ] , [ 13, 0, 0, 13 ] , [ 25, 60, 36, 73 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 0, 43 ] , [ 49, 24, 72, 13 ] , [ 64, 63, 21, 43 ] , [ 71, 21, 21, 50 ] | |||
84H15 | 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 ] , [ 71, 56, 35, 43 ] | |||
84I15 | 252 | 2 | 63 | 20 | 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 ] , [ 43, 42, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] | |||
^ | Level 85 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/85Z) Matrix Generators |
85A15 | 216 | 1 | 108 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 36, 51, 0, 26 ] , [ 69, 51, 0, 69 ] , [ 82, 68, 0, 28 ] | |||
85B15 | 216 | 1 | 108 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 16, 0, 0, 16 ] , [ 21, 0, 0, 81 ] , [ 31, 51, 0, 11 ] , [ 36, 51, 0, 26 ] , [ 69, 51, 0, 69 ] | |||
^ | Level 88 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/88Z) Matrix Generators |
88A15 | 192 | 1 | 48 | 0 | 0 | [ 1, 44, 44, 1 ] , [ 12, 33, 11, 67 ] , [ 23, 0, 44, 23 ] , [ 41, 48, 72, 65 ] , [ 45, 0, 44, 45 ] , [ 49, 48, 40, 41 ] , [ 65, 0, 44, 65 ] | |||
88B15 | 192 | 1 | 48 | 0 | 0 | [ 1, 44, 44, 1 ] , [ 12, 33, 11, 67 ] , [ 23, 0, 0, 23 ] , [ 33, 8, 48, 73 ] , [ 45, 44, 0, 45 ] , [ 65, 0, 0, 65 ] , [ 81, 80, 8, 9 ] | |||
88C15 | 192 | 1 | 192 | 0 | 0 | [ 1, 22, 33, 23 ] , [ 12, 77, 55, 67 ] , [ 23, 0, 0, 23 ] , [ 25, 24, 64, 65 ] , [ 45, 0, 0, 45 ] , [ 73, 56, 72, 1 ] , [ 73, 80, 40, 33 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A15 | 180 | 1 | 15 | 0 | 0 | [ 1, 30, 60, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 37, 72, 54, 37 ] , [ 41, 50, 20, 31 ] , [ 41, 60, 0, 11 ] , [ 71, 75, 15, 26 ] , [ 73, 0, 18, 37 ] | |||
90B15 | 180 | 1 | 30 | 0 | 0 | [ 1, 60, 30, 1 ] , [ 7, 63, 81, 22 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 37, 78, 6, 37 ] , [ 46, 45, 45, 1 ] , [ 61, 60, 0, 31 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ] , [ 83, 32, 14, 13 ] | |||
90C15 | 180 | 1 | 30 | 0 | 0 | [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 37, 0, 72, 73 ] , [ 37, 18, 36, 37 ] , [ 41, 30, 30, 11 ] , [ 46, 75, 75, 1 ] , [ 61, 30, 30, 31 ] , [ 71, 0, 0, 71 ] , [ 79, 46, 22, 47 ] | |||
90D15 | 180 | 1 | 60 | 0 | 0 | [ 1, 60, 30, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 22, 63, 81, 7 ] , [ 31, 45, 45, 16 ] , [ 37, 78, 6, 37 ] , [ 61, 60, 0, 31 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ] , [ 83, 32, 14, 13 ] | |||
90E15 | 180 | 1 | 90 | 0 | 0 | [ 11, 50, 80, 61 ] , [ 11, 60, 60, 41 ] , [ 31, 60, 60, 61 ] , [ 46, 45, 45, 1 ] , [ 51, 50, 70, 81 ] , [ 55, 72, 72, 19 ] , [ 58, 31, 25, 77 ] , [ 61, 0, 60, 31 ] , [ 89, 45, 45, 44 ] | |||
90F15 | 180 | 2 | 45 | 0 | 0 | [ 1, 18, 36, 19 ] , [ 1, 20, 20, 41 ] , [ 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 ] , [ 73, 0, 18, 37 ] | |||
90G15 | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 45, 1 ] , [ 37, 72, 72, 55 ] , [ 61, 0, 60, 31 ] , [ 61, 60, 30, 31 ] , [ 77, 48, 0, 83 ] , [ 79, 30, 0, 49 ] , [ 81, 70, 50, 1 ] , [ 81, 80, 10, 71 ] | |||
90H15 | 216 | 1 | 72 | 0 | 0 | [ 7, 87, 12, 85 ] , [ 31, 30, 60, 61 ] , [ 41, 40, 20, 81 ] , [ 41, 60, 30, 11 ] , [ 61, 0, 60, 31 ] , [ 73, 54, 54, 19 ] , [ 77, 48, 0, 83 ] , [ 79, 30, 0, 49 ] | |||
90I15 | 216 | 1 | 108 | 0 | 0 | [ 1, 45, 45, 46 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 30, 30, 61 ] , [ 35, 26, 74, 55 ] , [ 55, 18, 18, 37 ] , [ 55, 36, 9, 55 ] | |||
90J15 | 216 | 1 | 108 | 0 | 0 | [ 1, 18, 36, 19 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 46, 45, 45, 1 ] , [ 51, 80, 10, 81 ] , [ 61, 0, 0, 31 ] , [ 61, 60, 30, 31 ] , [ 71, 0, 0, 71 ] | |||
90K15 | 216 | 2 | 54 | 8 | 0 | [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 41, 70, 70, 1 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] , [ 89, 57, 24, 71 ] | |||
90L15 | 216 | 2 | 54 | 8 | 0 | [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 49, 82, 64, 41 ] , [ 51, 65, 40, 81 ] , [ 61, 0, 60, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] | |||
90M15 | 216 | 2 | 54 | 8 | 0 | [ 1, 30, 60, 1 ] , [ 16, 75, 75, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 30, 0, 61 ] , [ 31, 55, 10, 41 ] , [ 61, 0, 60, 31 ] , [ 69, 2, 4, 81 ] , [ 71, 30, 60, 71 ] , [ 73, 54, 54, 19 ] | |||
90N15 | 216 | 2 | 54 | 8 | 0 | [ 1, 60, 30, 1 ] , [ 19, 36, 36, 73 ] , [ 41, 30, 30, 11 ] , [ 46, 45, 45, 1 ] , [ 49, 0, 30, 79 ] , [ 61, 60, 0, 31 ] , [ 61, 80, 35, 71 ] , [ 79, 72, 24, 31 ] | |||
90O15 | 216 | 2 | 108 | 8 | 0 | [ 9, 22, 74, 81 ] , [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 79, 22, 49, 41 ] | |||
90P15 | 216 | 2 | 108 | 8 | 0 | [ 11, 30, 30, 41 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 0, 61 ] , [ 41, 0, 0, 11 ] , [ 61, 15, 45, 76 ] , [ 61, 30, 30, 31 ] , [ 61, 40, 85, 41 ] | |||
^ | Level 92 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/92Z) Matrix Generators |
92A15 | 192 | 1 | 96 | 0 | 0 | [ 17, 28, 4, 77 ] , [ 45, 0, 0, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 69, 23, 24 ] , [ 69, 72, 84, 73 ] | |||
^ | Level 93 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/93Z) Matrix Generators |
93A15 | 192 | 1 | 96 | 0 | 0 | [ 32, 0, 0, 32 ] , [ 32, 62, 62, 1 ] , [ 43, 36, 12, 49 ] , [ 55, 63, 21, 19 ] , [ 61, 0, 0, 61 ] , [ 91, 51, 60, 4 ] | |||
^ | Level 95 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/95Z) Matrix Generators |
95A15 | 200 | 1 | 200 | 0 | 2 | [ 7, 51, 65, 53 ] , [ 31, 20, 50, 66 ] , [ 39, 0, 0, 39 ] , [ 41, 10, 50, 91 ] , [ 41, 50, 60, 6 ] , [ 70, 77, 62, 56 ] , [ 94, 0, 0, 94 ] | |||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 64, 27, 45, 40 ] , [ 65, 0, 80, 65 ] , [ 73, 72, 72, 25 ] , [ 82, 39, 93, 22 ] , [ 85, 84, 84, 13 ] | |||
96B15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 36, 49 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 64, 27, 45, 40 ] , [ 65, 0, 80, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] | |||
96C15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 76 ] , [ 10, 39, 45, 22 ] , [ 25, 24, 24, 73 ] , [ 31, 48, 48, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 69, 58 ] | |||
96D15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 4, 27, 93, 76 ] , [ 25, 24, 24, 73 ] , [ 31, 48, 48, 31 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 69, 58 ] | |||
96E15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 18, 50, 37 ] , [ 1, 48, 48, 1 ] , [ 13, 60, 12, 85 ] , [ 25, 24, 24, 73 ] , [ 41, 30, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 68, 3, 53, 32 ] , [ 73, 78, 86, 13 ] , [ 79, 12, 20, 31 ] | |||
96F15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 3, 53, 64 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 41, 78, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 79, 12, 20, 31 ] | |||
96G15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] , [ 86, 63, 53, 50 ] | |||
96H15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 20, 27, 29, 68 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] | |||
96I15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 10, 87, 93, 22 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] | |||
96J15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 48, 48, 1 ] , [ 4, 27, 93, 4 ] , [ 26, 87, 29, 86 ] , [ 31, 0, 0, 31 ] , [ 31, 24, 72, 31 ] , [ 49, 48, 48, 49 ] , [ 65, 0, 32, 65 ] , [ 70, 63, 21, 82 ] , [ 73, 72, 72, 25 ] , [ 85, 84, 84, 13 ] | |||
96K15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 41, 78, 86, 77 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 65, 0, 32, 65 ] , [ 79, 12, 20, 31 ] | |||
96L15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 32, 1 ] , [ 1, 0, 64, 1 ] , [ 1, 48, 48, 1 ] , [ 10, 27, 41, 34 ] , [ 13, 60, 12, 85 ] , [ 20, 3, 53, 32 ] , [ 25, 24, 24, 73 ] , [ 40, 3, 53, 52 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 88, 49 ] , [ 65, 0, 32, 65 ] , [ 79, 12, 20, 31 ] | |||
96M15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 16, 65, 9 ] , [ 25, 0, 72, 73 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 81, 16, 32, 81 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] | |||
96N15 | 288 | 1 | 18 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 64, 17, 57 ] , [ 25, 0, 72, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 18, 65 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] | |||
96O15 | 288 | 1 | 18 | 32 | 0 | [ 0, 1, 95, 0 ] , [ 1, 32, 80, 65 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 84, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 80, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 72, 49 ] , [ 61, 60, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] | |||
96P15 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 9, 56, 46, 9 ] , [ 9, 56, 49, 81 ] , [ 41, 48, 90, 89 ] , [ 49, 0, 48, 49 ] , [ 49, 0, 72, 49 ] , [ 49, 0, 84, 49 ] , [ 73, 0, 24, 25 ] , [ 85, 48, 84, 61 ] , [ 95, 0, 0, 95 ] | |||
96Q15 | 288 | 1 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 33, 2, 31, 63 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 47, 82, 31, 1 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ] , [ 93, 74, 79, 3 ] | |||
96R15 | 288 | 1 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 33, 2, 31, 63 ] , [ 33, 32, 64, 33 ] , [ 41, 24, 36, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 72, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 79, 82, 55, 17 ] , [ 93, 74, 79, 3 ] | |||
96S15 | 288 | 1 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 21, 92, 70, 69 ] , [ 25, 0, 24, 73 ] , [ 39, 34, 95, 9 ] , [ 47, 0, 48, 47 ] , [ 49, 0, 48, 49 ] , [ 53, 60, 6, 5 ] , [ 65, 0, 0, 65 ] , [ 65, 24, 60, 65 ] , [ 85, 92, 14, 5 ] | |||
96T15 | 288 | 1 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 4, 46, 89 ] , [ 1, 32, 8, 65 ] , [ 1, 48, 72, 1 ] , [ 39, 34, 95, 9 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ] | |||
96U15 | 288 | 1 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 7, 34, 31, 41 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] , [ 85, 92, 38, 5 ] | |||
96V15 | 288 | 2 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 41, 72, 60, 89 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 72, 84, 65 ] , [ 71, 22, 13, 73 ] , [ 83, 46, 61, 13 ] , [ 95, 0, 0, 95 ] , [ 95, 2, 23, 49 ] , [ 95, 34, 31, 1 ] | |||
96W15 | 288 | 2 | 36 | 32 | 0 | [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 72, 1 ] , [ 35, 70, 73, 61 ] , [ 39, 34, 23, 57 ] , [ 41, 72, 60, 89 ] , [ 47, 0, 48, 47 ] , [ 49, 48, 24, 49 ] , [ 55, 70, 37, 89 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 48, 65 ] , [ 65, 72, 36, 65 ] | |||
^ | Level 98 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/98Z) Matrix Generators |
98A15 | 336 | 1 | 112 | 0 | 6 | [ 13, 13, 43, 28 ] , [ 19, 7, 85, 52 ] , [ 57, 70, 0, 43 ] , [ 85, 28, 42, 15 ] , [ 97, 46, 34, 3 ] | |||
^ | Level 99 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/99Z) Matrix Generators |
99A15 | 198 | 2 | 99 | 6 | 0 | [ 1, 66, 33, 1 ] , [ 23, 66, 0, 56 ] , [ 34, 0, 66, 67 ] , [ 56, 44, 11, 67 ] , [ 61, 58, 19, 83 ] , [ 98, 0, 0, 98 ] , [ 98, 6, 84, 89 ] | |||
99B15 | 198 | 2 | 99 | 6 | 0 | [ 1, 66, 33, 1 ] , [ 12, 77, 88, 45 ] , [ 21, 61, 95, 12 ] , [ 23, 66, 0, 56 ] , [ 34, 0, 66, 67 ] , [ 94, 36, 96, 61 ] , [ 98, 0, 0, 98 ] | |||
99C15 | 216 | 1 | 216 | 0 | 0 | [ 1, 0, 33, 1 ] , [ 23, 33, 33, 56 ] , [ 28, 18, 9, 73 ] , [ 34, 33, 0, 67 ] , [ 34, 55, 55, 89 ] , [ 55, 27, 90, 91 ] , [ 98, 0, 0, 98 ] | |||
^ | Level 100 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/100Z) Matrix Generators |
100A15 | 240 | 1 | 6 | 0 | 0 | [ 1, 25, 25, 26 ] , [ 1, 50, 50, 1 ] , [ 33, 56, 96, 69 ] , [ 41, 20, 20, 61 ] , [ 51, 50, 0, 51 ] , [ 69, 0, 70, 29 ] , [ 81, 0, 80, 21 ] | |||
100B15 | 240 | 1 | 24 | 0 | 0 | [ 13, 16, 16, 89 ] , [ 51, 0, 0, 51 ] , [ 51, 50, 75, 1 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 79, 80, 0, 19 ] | |||
100C15 | 240 | 1 | 120 | 0 | 0 | [ 1, 84, 32, 89 ] , [ 13, 16, 16, 89 ] , [ 51, 0, 0, 51 ] , [ 51, 75, 25, 76 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 79, 80, 0, 19 ] | |||
100D15 | 360 | 2 | 90 | 4 | 0 | [ 25, 2, 12, 77 ] , [ 49, 24, 4, 53 ] , [ 51, 0, 50, 51 ] , [ 61, 0, 60, 41 ] , [ 61, 80, 80, 41 ] , [ 69, 76, 33, 61 ] , [ 69, 80, 90, 29 ] , [ 93, 36, 76, 9 ] | |||
^ | Level 102 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/102Z) Matrix Generators |
102A15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 34, 85, 35 ] , [ 10, 51, 21, 46 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 54, 25 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 18, 13 ] , [ 67, 0, 0, 67 ] | |||
102B15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 90, 1 ] , [ 1, 0, 96, 1 ] , [ 10, 51, 21, 97 ] , [ 10, 85, 55, 80 ] , [ 35, 0, 0, 35 ] , [ 49, 0, 54, 25 ] , [ 52, 51, 51, 1 ] , [ 55, 0, 18, 13 ] , [ 67, 0, 0, 67 ] | |||
102C15 | Γ0(102) | 216 | 1 | 216 | 0 | 0 | [ 1, 0, 51, 1 ] , [ 1, 0, 66, 1 ] , [ 1, 68, 0, 1 ] , [ 35, 68, 51, 35 ] , [ 49, 34, 42, 25 ] , [ 55, 68, 48, 13 ] , [ 67, 34, 0, 67 ] , [ 95, 34, 90, 29 ] | ||
102D15 | 216 | 2 | 54 | 8 | 0 | [ 1, 0, 72, 1 ] , [ 13, 0, 78, 55 ] , [ 35, 0, 0, 35 ] , [ 39, 34, 62, 75 ] , [ 52, 51, 51, 1 ] , [ 59, 0, 30, 83 ] , [ 67, 0, 0, 67 ] , [ 73, 34, 79, 41 ] | |||
^ | Level 104 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/104Z) Matrix Generators |
104A15 | 224 | 1 | 56 | 0 | 8 | [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 7, 72, 4, 71 ] , [ 25, 0, 0, 25 ] , [ 33, 72, 4, 97 ] , [ 53, 52, 0, 53 ] , [ 57, 40, 88, 49 ] , [ 57, 72, 16, 33 ] | |||
104B15 | 224 | 1 | 56 | 0 | 8 | [ 1, 52, 52, 1 ] , [ 1, 65, 13, 14 ] , [ 25, 0, 0, 25 ] , [ 33, 72, 56, 97 ] , [ 53, 52, 0, 53 ] , [ 57, 40, 88, 49 ] , [ 57, 72, 16, 33 ] , [ 79, 0, 0, 79 ] | |||
104C15 | 224 | 1 | 224 | 8 | 2 | [ 9, 88, 88, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 88, 57 ] , [ 53, 0, 0, 53 ] , [ 53, 13, 13, 66 ] , [ 65, 16, 56, 41 ] , [ 79, 0, 0, 79 ] , [ 79, 78, 65, 1 ] | |||
104D15 | 224 | 2 | 56 | 0 | 8 | [ 9, 8, 0, 81 ] , [ 17, 96, 0, 49 ] , [ 33, 8, 80, 73 ] , [ 53, 0, 52, 53 ] , [ 53, 13, 13, 66 ] , [ 53, 52, 0, 53 ] , [ 53, 78, 91, 79 ] , [ 79, 52, 52, 79 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A15 | 210 | 2 | 70 | 6 | 3 | [ 36, 35, 70, 36 ] , [ 41, 48, 99, 98 ] , [ 61, 75, 90, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 71, 63, 49, 8 ] , [ 76, 0, 0, 76 ] , [ 85, 21, 84, 85 ] , [ 85, 63, 63, 85 ] , [ 91, 45, 30, 91 ] | |||
105B15 | 210 | 2 | 70 | 6 | 3 | [ 13, 27, 36, 91 ] , [ 36, 35, 70, 36 ] , [ 43, 42, 56, 1 ] , [ 61, 75, 90, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 76, 0, 0, 76 ] , [ 85, 21, 84, 85 ] , [ 85, 63, 63, 85 ] , [ 91, 45, 30, 91 ] | |||
105C15 | 210 | 2 | 105 | 10 | 0 | [ 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, 80, 95, 71 ] , [ 76, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ] | |||
105D15 | 252 | 2 | 126 | 20 | 0 | [ 1, 0, 63, 1 ] , [ 13, 10, 4, 92 ] , [ 36, 80, 40, 51 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 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 |
108A15 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 54, 1 ] , [ 1, 0, 60, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 54, 27, 55 ] , [ 13, 0, 0, 25 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 60, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 0, 35 ] , [ 85, 36, 52, 97 ] | |||
^ | Level 110 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/110Z) Matrix Generators |
110A15 | Γ0(110) | 216 | 1 | 216 | 0 | 0 | [ 1, 0, 55, 1 ] , [ 1, 44, 0, 1 ] , [ 21, 0, 0, 21 ] , [ 21, 10, 20, 41 ] , [ 67, 0, 0, 23 ] , [ 89, 0, 0, 89 ] , [ 101, 80, 40, 11 ] | ||
^ | Level 112 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/112Z) Matrix Generators |
112A15 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 98, 77, 85 ] , [ 17, 32, 28, 33 ] , [ 55, 28, 70, 111 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] | |||
112B15 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 17, 32, 28, 33 ] , [ 55, 28, 70, 111 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] , [ 111, 98, 77, 69 ] | |||
112C15 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 5, 36, 18, 85 ] , [ 17, 80, 64, 97 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 99, 14, 77, 29 ] , [ 111, 104, 92, 63 ] | |||
112D15 | 192 | 1 | 24 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 5, 36, 18, 85 ] , [ 17, 80, 64, 97 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 103, 106, 39, 1 ] , [ 111, 104, 92, 63 ] | |||
112E15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 17, 32, 28, 33 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 71, 28, 70, 15 ] , [ 81, 64, 96, 33 ] , [ 99, 56, 84, 43 ] , [ 111, 0, 56, 111 ] , [ 111, 98, 77, 69 ] | |||
112F15 | 192 | 1 | 48 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 17, 80, 64, 97 ] , [ 29, 0, 28, 85 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 71, 70, 105, 1 ] , [ 89, 36, 74, 1 ] , [ 111, 104, 92, 63 ] | |||
112G15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 17, 80, 64, 97 ] , [ 29, 0, 0, 85 ] , [ 33, 96, 96, 1 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 84, 57 ] , [ 65, 48, 80, 97 ] , [ 89, 36, 102, 1 ] , [ 103, 106, 39, 1 ] , [ 111, 104, 92, 63 ] | |||
112H15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 56, 1 ] , [ 1, 16, 16, 33 ] , [ 15, 0, 56, 15 ] , [ 39, 108, 42, 79 ] , [ 57, 0, 56, 57 ] , [ 57, 56, 84, 57 ] , [ 81, 64, 96, 33 ] , [ 85, 98, 105, 71 ] , [ 97, 0, 0, 97 ] , [ 99, 56, 84, 43 ] | |||
112I15 | 224 | 2 | 56 | 4 | 8 | [ 1, 56, 56, 1 ] , [ 1, 84, 28, 1 ] , [ 15, 35, 14, 85 ] , [ 17, 80, 48, 81 ] , [ 43, 28, 56, 99 ] , [ 49, 80, 16, 97 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 78, 21, 105, 1 ] , [ 85, 28, 0, 29 ] , [ 97, 0, 0, 97 ] | |||
112J15 | 224 | 2 | 56 | 4 | 8 | [ 1, 56, 56, 1 ] , [ 1, 84, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 17, 80, 48, 81 ] , [ 49, 80, 16, 97 ] , [ 49, 96, 32, 49 ] , [ 57, 56, 0, 57 ] , [ 85, 28, 0, 29 ] , [ 97, 0, 0, 97 ] , [ 105, 45, 86, 55 ] , [ 106, 105, 105, 85 ] | |||
112K15 | 256 | 1 | 32 | 0 | 16 | [ 1, 35, 63, 78 ] , [ 1, 56, 56, 1 ] , [ 33, 48, 16, 81 ] , [ 49, 32, 96, 97 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 56, 97 ] , [ 99, 0, 84, 43 ] | |||
112L15 | 256 | 1 | 32 | 0 | 16 | [ 1, 35, 63, 78 ] , [ 1, 56, 56, 1 ] , [ 33, 48, 16, 81 ] , [ 49, 32, 96, 97 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ] , [ 99, 0, 28, 43 ] | |||
^ | Level 120 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/120Z) Matrix Generators |
120A15 | 180 | 1 | 15 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 30, 75, 91 ] , [ 1, 48, 96, 49 ] , [ 9, 20, 70, 9 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 110, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 90, 45, 31 ] , [ 97, 0, 72, 73 ] , [ 97, 48, 96, 97 ] | |||
120B15 | 180 | 2 | 15 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 30, 75, 91 ] , [ 1, 80, 80, 41 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 30, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 80, 40, 81 ] , [ 91, 0, 60, 91 ] , [ 97, 48, 56, 97 ] | |||
120C15 | 192 | 2 | 96 | 0 | 0 | [ 13, 50, 67, 27 ] , [ 25, 48, 48, 97 ] , [ 31, 60, 60, 31 ] , [ 43, 90, 57, 97 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 12, 97 ] , [ 76, 15, 45, 91 ] , [ 81, 80, 40, 41 ] | |||
120D15 | 192 | 2 | 96 | 0 | 0 | [ 25, 48, 48, 97 ] , [ 31, 60, 60, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 20, 40, 21 ] , [ 61, 50, 55, 51 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 72, 97 ] , [ 76, 15, 45, 91 ] , [ 81, 80, 40, 41 ] | |||
120E15 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 20, 65, 91 ] , [ 73, 60, 72, 97 ] , [ 81, 80, 40, 81 ] | |||
120F15 | 216 | 1 | 36 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 20, 65, 91 ] , [ 73, 0, 72, 97 ] , [ 81, 80, 40, 81 ] | |||
120G15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 60, 1 ] , [ 1, 60, 30, 1 ] , [ 1, 100, 100, 41 ] , [ 31, 90, 45, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 112, 40, 17 ] , [ 91, 0, 60, 91 ] | |||
120H15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 60, 1 ] , [ 1, 40, 40, 41 ] , [ 1, 60, 30, 1 ] , [ 31, 30, 105, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 0, 61 ] , [ 73, 72, 0, 97 ] , [ 91, 0, 60, 91 ] | |||
120I15 | 216 | 1 | 108 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 80, 65, 31 ] , [ 73, 60, 72, 97 ] , [ 81, 80, 40, 81 ] | |||
120J15 | 216 | 1 | 108 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 1, 0, 90, 1 ] , [ 1, 60, 15, 61 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 96, 73 ] , [ 61, 0, 60, 61 ] , [ 71, 80, 65, 31 ] , [ 73, 0, 72, 97 ] , [ 81, 80, 40, 81 ] | |||
120K15 | 288 | 1 | 72 | 0 | 0 | [ 1, 24, 24, 97 ] , [ 25, 48, 48, 97 ] , [ 25, 48, 108, 97 ] , [ 49, 96, 96, 73 ] , [ 57, 76, 86, 1 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 87, 112, 2, 55 ] , [ 93, 112, 95, 37 ] , [ 97, 72, 72, 25 ] , [ 97, 96, 66, 1 ] , [ 105, 52, 77, 13 ] , [ 113, 64, 104, 9 ] | |||
120L15 | 288 | 1 | 72 | 0 | 0 | [ 1, 24, 24, 97 ] , [ 1, 96, 33, 49 ] , [ 25, 24, 96, 25 ] , [ 25, 48, 48, 97 ] , [ 25, 48, 108, 97 ] , [ 49, 96, 96, 73 ] , [ 57, 28, 5, 13 ] , [ 61, 0, 60, 61 ] , [ 73, 24, 24, 49 ] , [ 91, 108, 111, 79 ] , [ 97, 72, 72, 25 ] , [ 97, 96, 66, 1 ] , [ 113, 64, 104, 9 ] | |||
120M15 | 288 | 2 | 72 | 0 | 0 | [ 1, 0, 60, 1 ] , [ 13, 108, 108, 85 ] , [ 25, 48, 48, 97 ] , [ 49, 96, 96, 73 ] , [ 61, 78, 111, 79 ] , [ 65, 88, 8, 57 ] , [ 71, 78, 6, 59 ] , [ 85, 6, 84, 85 ] , [ 91, 60, 30, 91 ] , [ 97, 72, 72, 25 ] , [ 97, 72, 102, 25 ] , [ 103, 84, 54, 79 ] | |||
^ | Level 124 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/124Z) Matrix Generators |
124A15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 62, 1 ] , [ 13, 112, 116, 17 ] , [ 25, 88, 16, 101 ] , [ 41, 28, 4, 33 ] , [ 61, 0, 0, 61 ] , [ 63, 0, 62, 63 ] , [ 63, 62, 93, 1 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A15 | 192 | 1 | 32 | 0 | 0 | [ 1, 0, 42, 1 ] , [ 1, 63, 21, 64 ] , [ 29, 63, 42, 113 ] , [ 43, 42, 98, 43 ] , [ 49, 72, 66, 79 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 73, 108, 36, 55 ] , [ 125, 0, 84, 125 ] | |||
126B15 | 192 | 1 | 32 | 0 | 0 | [ 1, 0, 42, 1 ] , [ 1, 63, 21, 64 ] , [ 29, 63, 105, 50 ] , [ 43, 42, 98, 43 ] , [ 49, 72, 66, 79 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 73, 108, 36, 55 ] , [ 125, 0, 84, 125 ] | |||
126C15 | 192 | 1 | 64 | 0 | 0 | [ 1, 0, 84, 1 ] , [ 1, 90, 108, 19 ] , [ 29, 63, 91, 50 ] , [ 37, 54, 18, 91 ] , [ 43, 0, 42, 85 ] , [ 73, 18, 0, 19 ] , [ 85, 84, 14, 85 ] , [ 85, 105, 63, 106 ] | |||
126D15 | 192 | 2 | 32 | 0 | 0 | [ 1, 0, 42, 1 ] , [ 1, 63, 63, 64 ] , [ 22, 21, 35, 85 ] , [ 55, 18, 90, 73 ] , [ 82, 9, 3, 28 ] , [ 85, 0, 0, 43 ] , [ 124, 99, 53, 85 ] , [ 125, 63, 63, 62 ] | |||
126E15 | 192 | 2 | 32 | 0 | 0 | [ 1, 0, 42, 1 ] , [ 1, 63, 63, 64 ] , [ 8, 63, 21, 71 ] , [ 22, 21, 35, 85 ] , [ 55, 18, 90, 73 ] , [ 85, 0, 0, 43 ] , [ 118, 63, 21, 55 ] , [ 124, 99, 53, 85 ] | |||
126F15 | 252 | 2 | 21 | 24 | 0 | [ 1, 18, 108, 55 ] , [ 1, 42, 42, 1 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 120, 75, 1 ] , [ 64, 63, 63, 1 ] , [ 69, 64, 89, 57 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ] | |||
^ | Level 128 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/128Z) Matrix Generators |
128A15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 9, 120, 72, 121 ] , [ 17, 112, 16, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 78 ] , [ 31, 46, 74, 19 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 122, 73, 31, 92 ] | |||
128B15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 9, 120, 72, 121 ] , [ 17, 112, 16, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 14 ] , [ 31, 46, 74, 19 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 85, 18, 78, 9 ] | |||
128C15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 17, 112, 16, 113 ] , [ 23, 122, 54, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 46 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 73, 120, 72, 57 ] , [ 77, 52, 44, 53 ] , [ 86, 27, 117, 68 ] , [ 127, 0, 0, 127 ] | |||
128D15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 17, 112, 16, 113 ] , [ 23, 122, 54, 75 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 46 ] , [ 33, 96, 32, 97 ] , [ 45, 60, 116, 21 ] , [ 47, 14, 10, 3 ] , [ 49, 112, 80, 81 ] , [ 65, 64, 64, 65 ] , [ 73, 120, 72, 57 ] , [ 77, 52, 44, 53 ] , [ 127, 0, 0, 127 ] | |||
128E15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 9, 88, 40, 121 ] , [ 16, 19, 5, 70 ] , [ 17, 48, 80, 113 ] , [ 23, 26, 22, 75 ] , [ 25, 104, 88, 105 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 78 ] , [ 33, 96, 32, 97 ] , [ 63, 110, 106, 51 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 109, 60, 52, 85 ] | |||
128F15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 9, 88, 40, 121 ] , [ 17, 48, 80, 113 ] , [ 19, 4, 12, 43 ] , [ 23, 26, 22, 75 ] , [ 25, 104, 88, 105 ] , [ 25, 120, 104, 105 ] , [ 28, 25, 31, 14 ] , [ 33, 96, 32, 97 ] , [ 65, 64, 64, 65 ] , [ 77, 116, 108, 53 ] , [ 85, 118, 2, 57 ] , [ 109, 60, 52, 85 ] | |||
128G15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 16, 77, 27, 122 ] , [ 23, 122, 54, 75 ] , [ 25, 104, 88, 105 ] , [ 65, 64, 64, 65 ] , [ 77, 52, 44, 53 ] , [ 85, 124, 68, 45 ] , [ 97, 32, 96, 33 ] , [ 113, 36, 116, 97 ] , [ 113, 80, 48, 17 ] , [ 121, 104, 24, 9 ] , [ 123, 30, 2, 39 ] , [ 127, 0, 0, 127 ] | |||
128H15 | 192 | 1 | 24 | 0 | 0 | [ 1, 64, 64, 1 ] , [ 16, 77, 27, 58 ] , [ 23, 122, 54, 75 ] , [ 25, 104, 88, 105 ] , [ 65, 64, 64, 65 ] , [ 77, 52, 44, 53 ] , [ 85, 124, 68, 45 ] , [ 92, 37, 123, 94 ] , [ 97, 32, 96, 33 ] , [ 113, 80, 48, 17 ] , [ 121, 104, 24, 9 ] , [ 123, 30, 2, 39 ] , [ 127, 0, 0, 127 ] | |||
^ | Level 132 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/132Z) Matrix Generators |
132A15 | 192 | 1 | 48 | 0 | 0 | [ 1, 120, 108, 25 ] , [ 49, 96, 96, 13 ] , [ 67, 0, 66, 67 ] , [ 67, 22, 0, 67 ] , [ 67, 66, 0, 67 ] , [ 89, 22, 0, 89 ] , [ 100, 99, 33, 67 ] , [ 121, 36, 84, 13 ] | |||
132B15 | 192 | 1 | 48 | 0 | 0 | [ 1, 120, 42, 25 ] , [ 49, 96, 96, 13 ] , [ 67, 0, 66, 67 ] , [ 67, 22, 0, 67 ] , [ 67, 66, 0, 67 ] , [ 89, 10, 108, 113 ] , [ 100, 99, 33, 67 ] , [ 121, 36, 84, 13 ] | |||
132C15 | 192 | 1 | 192 | 0 | 0 | [ 1, 66, 33, 67 ] , [ 1, 72, 120, 61 ] , [ 1, 88, 0, 1 ] , [ 1, 99, 99, 34 ] , [ 67, 0, 0, 67 ] , [ 101, 52, 48, 77 ] , [ 121, 36, 84, 13 ] , [ 131, 0, 0, 131 ] | |||
132D15 | 198 | 2 | 99 | 6 | 0 | [ 1, 66, 66, 1 ] , [ 50, 81, 39, 50 ] , [ 64, 85, 31, 2 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 88, 1 ] , [ 89, 44, 110, 1 ] , [ 100, 33, 99, 100 ] , [ 109, 0, 0, 109 ] | |||
^ | Level 135 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/135Z) Matrix Generators |
135A15 | 180 | 1 | 60 | 0 | 0 | [ 13, 39, 18, 106 ] , [ 28, 0, 0, 82 ] , [ 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 ] | |||
135B15 | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 45, 1 ] , [ 1, 0, 60, 1 ] , [ 41, 0, 35, 56 ] , [ 46, 45, 40, 1 ] , [ 55, 27, 27, 82 ] , [ 76, 0, 130, 16 ] , [ 86, 72, 54, 119 ] , [ 91, 0, 15, 46 ] , [ 91, 0, 90, 46 ] , [ 124, 45, 105, 49 ] | |||
^ | Level 136 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/136Z) Matrix Generators |
136A15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 68, 1 ] , [ 31, 78, 15, 29 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 105, 44, 38, 25 ] , [ 119, 8, 104, 23 ] , [ 121, 48, 90, 129 ] | |||
136B15 | 216 | 1 | 54 | 8 | 0 | [ 1, 0, 68, 1 ] , [ 27, 46, 37, 53 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 105, 44, 38, 25 ] , [ 113, 24, 16, 1 ] , [ 119, 8, 104, 23 ] | |||
136C15 | 216 | 1 | 108 | 0 | 0 | [ 17, 8, 104, 57 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 12, 1 ] , [ 33, 48, 80, 1 ] , [ 61, 52, 98, 117 ] , [ 65, 64, 126, 9 ] , [ 67, 84, 7, 23 ] , [ 69, 0, 68, 69 ] , [ 73, 16, 16, 65 ] , [ 89, 0, 117, 81 ] , [ 93, 96, 28, 45 ] | |||
136D15 | Γ0(136) | 216 | 1 | 108 | 0 | 0 | [ 17, 8, 104, 57 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 12, 1 ] , [ 33, 48, 80, 1 ] , [ 65, 64, 126, 9 ] , [ 67, 84, 7, 23 ] , [ 69, 0, 68, 69 ] , [ 73, 16, 16, 65 ] , [ 85, 52, 67, 17 ] , [ 89, 96, 40, 89 ] , [ 93, 96, 28, 45 ] | ||
136E15 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 68, 1 ] , [ 1, 80, 74, 73 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 119, 8, 104, 23 ] , [ 131, 78, 61, 109 ] , [ 135, 122, 25, 77 ] | |||
136F15 | 216 | 1 | 108 | 4 | 0 | [ 1, 0, 68, 1 ] , [ 1, 80, 74, 73 ] , [ 33, 0, 0, 33 ] , [ 33, 48, 80, 1 ] , [ 57, 88, 88, 81 ] , [ 69, 0, 0, 69 ] , [ 97, 16, 56, 113 ] , [ 113, 24, 16, 1 ] , [ 119, 8, 104, 23 ] , [ 135, 122, 25, 77 ] | |||
136G15 | 216 | 2 | 54 | 8 | 0 | [ 1, 0, 68, 1 ] , [ 33, 0, 0, 33 ] , [ 35, 68, 34, 35 ] , [ 57, 40, 8, 113 ] , [ 65, 120, 120, 73 ] , [ 69, 0, 0, 69 ] , [ 81, 84, 112, 49 ] , [ 89, 10, 36, 1 ] , [ 89, 112, 53, 1 ] , [ 121, 16, 10, 89 ] | |||
^ | Level 138 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/138Z) Matrix Generators |
138A15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 92, 1 ] , [ 1, 69, 69, 70 ] , [ 47, 0, 115, 47 ] , [ 97, 108, 114, 43 ] , [ 133, 54, 108, 103 ] , [ 137, 0, 0, 137 ] | |||
138B15 | 192 | 1 | 96 | 0 | 0 | [ 1, 0, 92, 1 ] , [ 1, 69, 69, 70 ] , [ 47, 0, 46, 47 ] , [ 97, 108, 114, 43 ] , [ 133, 54, 108, 103 ] , [ 137, 0, 0, 137 ] | |||
^ | Level 140 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/140Z) Matrix Generators |
140A15 | 192 | 1 | 48 | 0 | 0 | [ 21, 100, 80, 41 ] , [ 25, 76, 104, 25 ] , [ 29, 0, 0, 29 ] , [ 41, 20, 10, 121 ] , [ 61, 80, 60, 81 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 113, 84, 84, 29 ] | |||
140B15 | 192 | 1 | 48 | 0 | 0 | [ 21, 100, 80, 41 ] , [ 25, 96, 84, 65 ] , [ 29, 0, 0, 29 ] , [ 41, 20, 10, 121 ] , [ 61, 80, 60, 81 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 113, 84, 84, 29 ] | |||
140C15 | 192 | 1 | 192 | 0 | 0 | [ 29, 56, 56, 113 ] , [ 41, 100, 40, 101 ] , [ 43, 42, 105, 57 ] , [ 45, 48, 48, 17 ] , [ 69, 116, 36, 93 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 105, 1 ] , [ 71, 105, 35, 36 ] , [ 99, 0, 0, 99 ] | |||
140D15 | 192 | 2 | 48 | 0 | 0 | [ 17, 72, 112, 5 ] , [ 33, 92, 125, 77 ] , [ 41, 100, 40, 101 ] , [ 57, 112, 112, 85 ] , [ 69, 96, 116, 133 ] , [ 71, 0, 70, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 70, 0, 71 ] , [ 97, 136, 86, 21 ] | |||
^ | Level 141 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/141Z) Matrix Generators |
141A15 | Γ0(141) | 192 | 1 | 192 | 0 | 0 | [ 40, 45, 60, 64 ] , [ 46, 47, 94, 93 ] , [ 48, 47, 94, 95 ] , [ 95, 0, 0, 95 ] , [ 109, 42, 105, 34 ] | ||
^ | Level 144 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/144Z) Matrix Generators |
144A15 | 192 | 2 | 32 | 0 | 0 | [ 1, 36, 108, 1 ] , [ 1, 72, 72, 1 ] , [ 1, 81, 45, 46 ] , [ 1, 96, 0, 1 ] , [ 1, 112, 0, 1 ] , [ 37, 90, 63, 91 ] , [ 37, 108, 72, 109 ] , [ 73, 72, 0, 73 ] , [ 97, 0, 0, 49 ] , [ 127, 0, 0, 127 ] , [ 137, 0, 72, 41 ] | |||
144B15 | 216 | 1 | 108 | 10 | 0 | [ 1, 72, 72, 1 ] , [ 10, 9, 99, 46 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] , [ 137, 50, 134, 133 ] | |||
144C15 | 216 | 1 | 108 | 10 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 10, 9, 99, 118 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 64, 45, 27, 100 ] , [ 73, 0, 0, 73 ] , [ 74, 41, 35, 70 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] | |||
144D15 | 216 | 2 | 108 | 10 | 0 | [ 1, 72, 72, 1 ] , [ 10, 9, 99, 118 ] , [ 37, 72, 72, 109 ] , [ 49, 48, 0, 97 ] , [ 49, 96, 96, 97 ] , [ 64, 45, 27, 100 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 90, 17, 91, 54 ] , [ 109, 108, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] | |||
144E15 | 288 | 1 | 48 | 0 | 0 | [ 1, 32, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 90, 0, 1 ] , [ 37, 72, 72, 109 ] , [ 73, 0, 0, 73 ] , [ 73, 9, 90, 19 ] , [ 73, 72, 0, 73 ] , [ 89, 84, 0, 89 ] , [ 91, 108, 72, 19 ] , [ 97, 48, 0, 49 ] | |||
^ | Level 150 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/150Z) Matrix Generators |
150A15 | 180 | 1 | 30 | 0 | 0 | [ 1, 75, 75, 76 ] , [ 31, 90, 90, 121 ] , [ 67, 78, 78, 55 ] , [ 73, 58, 130, 17 ] , [ 91, 0, 90, 61 ] , [ 101, 110, 140, 1 ] , [ 119, 120, 0, 29 ] , [ 131, 90, 90, 71 ] , [ 131, 130, 100, 121 ] | |||
150B15 | 180 | 1 | 30 | 0 | 0 | [ 1, 75, 75, 76 ] , [ 19, 126, 108, 61 ] , [ 41, 4, 22, 79 ] , [ 43, 6, 126, 49 ] , [ 61, 30, 30, 91 ] , [ 91, 90, 0, 61 ] , [ 131, 62, 14, 49 ] , [ 139, 60, 30, 109 ] , [ 149, 144, 24, 143 ] | |||
150C15 | 180 | 1 | 30 | 0 | 0 | [ 1, 75, 75, 76 ] , [ 19, 138, 96, 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 ] | |||
150D15 | 180 | 1 | 30 | 0 | 0 | [ 1, 26, 26, 77 ] , [ 1, 75, 75, 76 ] , [ 19, 118, 106, 11 ] , [ 25, 102, 12, 7 ] , [ 49, 60, 90, 49 ] , [ 91, 90, 0, 61 ] , [ 95, 12, 72, 137 ] , [ 121, 60, 60, 31 ] , [ 145, 114, 66, 145 ] | |||
150E15 | 180 | 1 | 60 | 0 | 0 | [ 1, 75, 25, 76 ] , [ 31, 0, 30, 121 ] , [ 49, 120, 30, 49 ] , [ 51, 50, 100, 51 ] , [ 85, 12, 12, 37 ] , [ 85, 18, 78, 43 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 121, 60, 60, 31 ] , [ 133, 108, 30, 127 ] | |||
150F15 | 180 | 1 | 60 | 0 | 0 | [ 1, 50, 50, 101 ] , [ 31, 6, 6, 127 ] , [ 31, 30, 0, 121 ] , [ 51, 100, 50, 51 ] , [ 61, 132, 84, 49 ] , [ 76, 25, 125, 51 ] , [ 79, 84, 114, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 0, 101 ] , [ 139, 60, 30, 109 ] | |||
150G15 | 180 | 1 | 60 | 0 | 0 | [ 7, 60, 12, 103 ] , [ 31, 0, 30, 121 ] , [ 43, 72, 102, 115 ] , [ 49, 24, 114, 13 ] , [ 51, 50, 100, 51 ] , [ 76, 75, 25, 1 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] | |||
150H15 | 180 | 1 | 60 | 0 | 0 | [ 1, 75, 25, 76 ] , [ 1, 100, 100, 101 ] , [ 37, 30, 42, 103 ] , [ 61, 30, 30, 91 ] , [ 61, 60, 0, 91 ] , [ 79, 0, 30, 19 ] , [ 101, 0, 0, 101 ] , [ 101, 100, 100, 1 ] , [ 133, 66, 96, 139 ] | |||
150I15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 100, 1 ] , [ 1, 42, 9, 79 ] , [ 31, 30, 0, 121 ] , [ 76, 75, 75, 1 ] , [ 79, 144, 114, 73 ] , [ 85, 48, 48, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 50, 101 ] | |||
150J15 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 100, 1 ] , [ 1, 42, 34, 79 ] , [ 31, 30, 0, 121 ] , [ 76, 75, 75, 1 ] , [ 79, 144, 114, 73 ] , [ 85, 48, 48, 13 ] , [ 91, 120, 120, 61 ] , [ 101, 0, 50, 101 ] | |||
^ | Level 153 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/153Z) Matrix Generators |
153A15 | Γ0(153) | 216 | 1 | 72 | 0 | 0 | [ 1, 0, 117, 1 ] , [ 1, 17, 0, 1 ] , [ 44, 85, 90, 80 ] , [ 55, 119, 99, 64 ] , [ 100, 136, 144, 127 ] , [ 103, 0, 0, 52 ] , [ 103, 51, 0, 52 ] , [ 118, 85, 0, 118 ] , [ 137, 119, 0, 86 ] | ||
^ | Level 154 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/154Z) Matrix Generators |
154A15 | 192 | 1 | 96 | 0 | 0 | [ 1, 66, 132, 89 ] , [ 15, 14, 112, 43 ] , [ 45, 110, 44, 111 ] , [ 78, 77, 77, 1 ] , [ 85, 56, 28, 71 ] , [ 111, 88, 99, 23 ] , [ 153, 0, 0, 153 ] | |||
154B15 | 192 | 1 | 96 | 0 | 0 | [ 1, 66, 132, 89 ] , [ 15, 14, 112, 43 ] , [ 45, 110, 44, 111 ] , [ 78, 77, 77, 1 ] , [ 85, 56, 28, 71 ] , [ 111, 88, 22, 23 ] , [ 153, 0, 0, 153 ] | |||
^ | Level 155 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/155Z) Matrix Generators |
155A15 | Γ0(155) | 192 | 1 | 192 | 0 | 0 | [ 16, 145, 80, 76 ] , [ 31, 60, 140, 136 ] , [ 32, 124, 31, 125 ] , [ 46, 50, 130, 111 ] , [ 61, 0, 0, 61 ] , [ 94, 0, 0, 94 ] , [ 125, 93, 93, 125 ] | ||
^ | Level 156 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/156Z) Matrix Generators |
156A15 | 224 | 1 | 56 | 0 | 8 | [ 1, 0, 52, 1 ] , [ 1, 78, 78, 1 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 117, 79 ] , [ 79, 0, 78, 79 ] , [ 85, 60, 132, 73 ] , [ 85, 84, 88, 109 ] , [ 97, 114, 8, 85 ] , [ 149, 36, 8, 137 ] | |||
156B15 | 224 | 1 | 56 | 0 | 8 | [ 1, 0, 52, 1 ] , [ 1, 78, 78, 1 ] , [ 25, 0, 0, 25 ] , [ 40, 39, 117, 79 ] , [ 53, 78, 0, 53 ] , [ 79, 0, 78, 79 ] , [ 85, 60, 132, 73 ] , [ 85, 84, 88, 109 ] , [ 97, 36, 60, 85 ] | |||
156C15 | 224 | 2 | 56 | 0 | 8 | [ 1, 0, 104, 1 ] , [ 37, 132, 96, 1 ] , [ 53, 0, 52, 53 ] , [ 77, 66, 37, 131 ] , [ 79, 0, 78, 79 ] , [ 79, 39, 117, 40 ] , [ 79, 78, 0, 79 ] , [ 85, 126, 144, 85 ] , [ 133, 72, 96, 25 ] | |||
^ | Level 160 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/160Z) Matrix Generators |
160A15 | 288 | 1 | 36 | 0 | 0 | [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 51, 110, 50, 111 ] , [ 57, 2, 70, 53 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 116, 95, 25, 106 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] | |||
160B15 | 288 | 1 | 36 | 0 | 0 | [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 51, 110, 50, 111 ] , [ 65, 32, 32, 97 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 97, 32, 0, 33 ] , [ 116, 95, 25, 106 ] , [ 121, 120, 40, 41 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] | |||
160C15 | 288 | 2 | 36 | 0 | 0 | [ 1, 80, 80, 1 ] , [ 1, 120, 120, 1 ] , [ 10, 63, 113, 8 ] , [ 21, 140, 20, 141 ] , [ 42, 127, 65, 48 ] , [ 51, 82, 94, 79 ] , [ 59, 150, 90, 39 ] , [ 65, 32, 32, 97 ] , [ 81, 0, 0, 81 ] , [ 121, 80, 0, 41 ] , [ 121, 130, 70, 21 ] , [ 129, 0, 80, 129 ] | |||
^ | Level 161 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/161Z) Matrix Generators |
161A15 | Γ0(161) | 192 | 1 | 192 | 0 | 0 | [ 1, 70, 147, 148 ] , [ 1, 92, 46, 47 ] , [ 50, 154, 21, 113 ] , [ 93, 69, 92, 70 ] , [ 139, 0, 0, 139 ] , [ 160, 0, 0, 160 ] | ||
^ | Level 165 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/165Z) Matrix Generators |
165A15 | 180 | 1 | 60 | 0 | 0 | [ 1, 33, 66, 34 ] , [ 1, 55, 55, 56 ] , [ 16, 105, 150, 46 ] , [ 34, 0, 0, 34 ] , [ 56, 0, 0, 56 ] , [ 76, 60, 30, 91 ] , [ 100, 66, 99, 34 ] , [ 111, 110, 55, 111 ] , [ 131, 110, 110, 76 ] , [ 133, 99, 0, 67 ] | |||
165B15 | 180 | 2 | 60 | 0 | 0 | [ 1, 33, 66, 34 ] , [ 1, 55, 55, 56 ] , [ 16, 105, 150, 46 ] , [ 34, 0, 0, 34 ] , [ 34, 99, 11, 100 ] , [ 56, 0, 0, 56 ] , [ 76, 60, 30, 91 ] , [ 111, 110, 55, 111 ] , [ 131, 110, 110, 76 ] , [ 133, 99, 0, 67 ] | |||
^ | Level 168 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/168Z) Matrix Generators |
168A15 | 252 | 2 | 21 | 24 | 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, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] | |||
168B15 | 252 | 2 | 63 | 24 | 0 | [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 43, 126, 63, 1 ] , [ 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 ] | |||
^ | Level 170 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/170Z) Matrix Generators |
170A15 | 180 | 1 | 90 | 0 | 0 | [ 1, 0, 100, 1 ] , [ 1, 68, 136, 69 ] , [ 1, 85, 85, 86 ] , [ 35, 136, 34, 69 ] , [ 69, 0, 0, 69 ] , [ 81, 0, 30, 21 ] , [ 101, 0, 0, 101 ] , [ 137, 136, 0, 103 ] , [ 141, 0, 135, 41 ] , [ 161, 0, 90, 151 ] | |||
170B15 | 180 | 1 | 90 | 0 | 0 | [ 1, 0, 100, 1 ] , [ 1, 68, 136, 69 ] , [ 1, 85, 85, 86 ] , [ 35, 136, 34, 69 ] , [ 69, 0, 0, 69 ] , [ 81, 0, 30, 21 ] , [ 101, 0, 0, 101 ] , [ 137, 136, 0, 103 ] , [ 141, 0, 50, 41 ] , [ 161, 0, 90, 151 ] | |||
170C15 | 216 | 1 | 108 | 8 | 0 | [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 21, 0, 0, 81 ] , [ 31, 136, 85, 11 ] , [ 69, 136, 0, 69 ] , [ 86, 85, 85, 1 ] , [ 101, 0, 0, 101 ] , [ 121, 136, 0, 111 ] , [ 137, 136, 85, 103 ] | |||
170D15 | 216 | 1 | 108 | 8 | 0 | [ 1, 0, 10, 1 ] , [ 1, 34, 0, 1 ] , [ 21, 0, 0, 81 ] , [ 31, 136, 0, 11 ] , [ 69, 136, 0, 69 ] , [ 86, 85, 85, 1 ] , [ 101, 0, 0, 101 ] , [ 121, 136, 0, 111 ] , [ 137, 136, 85, 103 ] | |||
^ | Level 171 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/171Z) Matrix Generators |
171A15 | 180 | 1 | 180 | 0 | 0 | [ 1, 27, 117, 82 ] , [ 56, 152, 95, 151 ] , [ 58, 0, 57, 115 ] , [ 77, 57, 57, 20 ] , [ 77, 152, 152, 58 ] , [ 91, 126, 9, 82 ] , [ 115, 114, 0, 58 ] , [ 136, 99, 144, 91 ] , [ 153, 19, 152, 153 ] | |||
^ | Level 174 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/174Z) Matrix Generators |
174A15 | 180 | 1 | 30 | 0 | 0 | [ 1, 87, 87, 88 ] , [ 13, 54, 144, 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 ] | |||
174B15 | 180 | 1 | 60 | 0 | 0 | [ 1, 58, 58, 59 ] , [ 1, 116, 116, 59 ] , [ 55, 138, 18, 61 ] , [ 59, 0, 0, 59 ] , [ 88, 87, 29, 1 ] , [ 115, 0, 0, 115 ] , [ 145, 42, 78, 61 ] , [ 145, 120, 36, 31 ] | |||
^ | Level 175 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/175Z) Matrix Generators |
175A15 | Γ0(175) | 240 | 1 | 240 | 0 | 0 | [ 1, 0, 100, 1 ] , [ 1, 168, 0, 1 ] , [ 26, 0, 100, 101 ] , [ 29, 35, 0, 169 ] , [ 71, 0, 0, 106 ] , [ 106, 140, 0, 71 ] , [ 148, 56, 150, 162 ] , [ 151, 0, 25, 51 ] | ||
^ | Level 177 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/177Z) Matrix Generators |
177A15 | 180 | 1 | 60 | 0 | 0 | [ 1, 59, 59, 119 ] , [ 10, 117, 81, 169 ] , [ 46, 162, 78, 40 ] , [ 60, 59, 118, 60 ] , [ 119, 0, 0, 119 ] , [ 176, 0, 0, 176 ] | |||
^ | Level 178 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/178Z) Matrix Generators |
178A15 | 180 | 1 | 90 | 0 | 0 | [ 1, 89, 89, 90 ] , [ 29, 160, 4, 151 ] , [ 31, 112, 12, 141 ] , [ 33, 148, 50, 111 ] , [ 39, 132, 11, 19 ] , [ 169, 40, 106, 43 ] | |||
178B15 | 180 | 1 | 90 | 0 | 0 | [ 1, 89, 89, 90 ] , [ 29, 160, 4, 151 ] , [ 31, 112, 12, 141 ] , [ 33, 148, 50, 111 ] , [ 39, 132, 100, 19 ] , [ 169, 40, 106, 43 ] | |||
^ | Level 179 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/179Z) Matrix Generators |
179A15 | Γ0(179) | 180 | 1 | 180 | 0 | 0 | [ 16, 108, 162, 165 ] , [ 126, 178, 167, 172 ] , [ 178, 0, 0, 178 ] | ||
^ | Level 180 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/180Z) Matrix Generators |
180A15 | 240 | 1 | 40 | 0 | 12 | [ 1, 72, 144, 109 ] , [ 1, 160, 0, 1 ] , [ 29, 60, 90, 149 ] , [ 61, 0, 0, 121 ] , [ 73, 36, 0, 37 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 121, 120, 0, 61 ] , [ 145, 144, 36, 109 ] , [ 166, 75, 15, 61 ] | |||
180B15 | 240 | 2 | 20 | 0 | 12 | [ 1, 60, 0, 1 ] , [ 1, 72, 144, 109 ] , [ 1, 140, 0, 1 ] , [ 16, 75, 45, 31 ] , [ 19, 81, 159, 100 ] , [ 37, 0, 108, 73 ] , [ 61, 0, 0, 121 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 104, 21, 39, 65 ] , [ 109, 0, 0, 109 ] | |||
^ | Level 182 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/182Z) Matrix Generators |
182A15 | 196 | 2 | 98 | 0 | 4 | [ 19, 4, 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 ] | |||
182B15 | 224 | 1 | 112 | 0 | 8 | [ 1, 0, 78, 1 ] , [ 15, 84, 49, 141 ] , [ 27, 0, 0, 27 ] , [ 71, 98, 70, 71 ] , [ 79, 0, 78, 53 ] , [ 92, 91, 91, 1 ] , [ 155, 0, 0, 155 ] , [ 155, 56, 168, 29 ] | |||
182C15 | 224 | 1 | 112 | 0 | 8 | [ 1, 0, 78, 1 ] , [ 15, 84, 140, 141 ] , [ 27, 0, 0, 27 ] , [ 71, 98, 70, 71 ] , [ 79, 0, 78, 53 ] , [ 92, 91, 91, 1 ] , [ 155, 0, 0, 155 ] , [ 155, 56, 168, 29 ] | |||
^ | Level 186 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/186Z) Matrix Generators |
186A15 | 192 | 2 | 64 | 0 | 3 | [ 1, 62, 62, 125 ] , [ 63, 62, 124, 63 ] , [ 63, 124, 62, 63 ] , [ 63, 155, 31, 94 ] , [ 85, 42, 68, 73 ] , [ 103, 90, 66, 157 ] , [ 125, 0, 0, 125 ] , [ 151, 144, 60, 157 ] , [ 181, 102, 120, 7 ] | |||
^ | Level 187 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/187Z) Matrix Generators |
187A15 | 198 | 2 | 198 | 6 | 0 | [ 1, 132, 165, 89 ] , [ 23, 33, 88, 45 ] , [ 34, 77, 66, 155 ] , [ 55, 86, 138, 22 ] , [ 67, 0, 0, 67 ] , [ 89, 99, 77, 155 ] , [ 120, 0, 0, 120 ] , [ 160, 111, 1, 169 ] | |||
^ | Level 193 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/193Z) Matrix Generators |
193A15 | Γ0(193) | 194 | 1 | 194 | 2 | 2 | [ 92, 48, 97, 166 ] , [ 164, 40, 113, 97 ] , [ 185, 84, 130, 10 ] , [ 192, 0, 0, 192 ] | ||
^ | Level 194 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/194Z) Matrix Generators |
194A15 | 196 | 1 | 98 | 0 | 4 | [ 1, 97, 97, 98 ] , [ 17, 90, 92, 179 ] , [ 31, 98, 74, 65 ] , [ 47, 82, 151, 119 ] , [ 47, 110, 186, 101 ] , [ 51, 192, 46, 177 ] , [ 129, 98, 74, 163 ] , [ 181, 126, 12, 3 ] | |||
194B15 | 196 | 1 | 98 | 0 | 4 | [ 1, 97, 97, 98 ] , [ 17, 90, 92, 179 ] , [ 31, 98, 74, 65 ] , [ 47, 82, 54, 119 ] , [ 47, 110, 186, 101 ] , [ 51, 192, 46, 177 ] , [ 129, 98, 74, 163 ] , [ 181, 126, 12, 3 ] | |||
^ | Level 195 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/195Z) Matrix Generators |
195A15 | 210 | 2 | 70 | 6 | 3 | [ 1, 30, 45, 181 ] , [ 46, 185, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 122, 23, 136, 72 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ] | |||
195B15 | 210 | 2 | 70 | 6 | 3 | [ 1, 30, 45, 181 ] , [ 46, 185, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 92, 143, 91, 27 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ] | |||
^ | Level 196 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/196Z) Matrix Generators |
196A15 | 224 | 1 | 224 | 0 | 2 | [ 1, 49, 49, 50 ] , [ 1, 98, 147, 99 ] , [ 99, 0, 0, 99 ] , [ 113, 84, 84, 85 ] , [ 121, 112, 160, 25 ] , [ 141, 0, 140, 57 ] , [ 185, 24, 92, 13 ] , [ 195, 0, 0, 195 ] | |||
^ | Level 200 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/200Z) Matrix Generators |
200A15 | 360 | 2 | 90 | 4 | 0 | [ 1, 0, 50, 1 ] , [ 1, 0, 100, 1 ] , [ 1, 0, 125, 1 ] , [ 7, 158, 150, 43 ] , [ 41, 0, 160, 161 ] , [ 101, 0, 100, 101 ] , [ 149, 100, 100, 149 ] , [ 151, 100, 150, 151 ] , [ 153, 144, 184, 49 ] , [ 161, 120, 120, 41 ] | |||
^ | Level 204 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/204Z) Matrix Generators |
204A15 | 216 | 1 | 72 | 12 | 0 | [ 1, 102, 51, 103 ] , [ 1, 136, 136, 137 ] , [ 121, 72, 72, 85 ] , [ 127, 48, 84, 43 ] , [ 137, 0, 0, 137 ] , [ 137, 136, 136, 1 ] , [ 145, 12, 24, 85 ] , [ 145, 156, 120, 25 ] , [ 154, 51, 51, 1 ] , [ 157, 144, 48, 109 ] , [ 169, 0, 0, 169 ] | |||
^ | Level 208 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/208Z) Matrix Generators |
208A15 | 224 | 2 | 112 | 4 | 8 | [ 1, 104, 104, 1 ] , [ 14, 91, 39, 1 ] , [ 33, 32, 112, 33 ] , [ 49, 112, 128, 161 ] , [ 97, 32, 112, 97 ] , [ 105, 52, 52, 105 ] , [ 105, 104, 0, 105 ] , [ 145, 112, 184, 145 ] , [ 157, 156, 0, 53 ] , [ 183, 0, 104, 183 ] , [ 197, 138, 67, 67 ] | |||
208B15 | 224 | 2 | 112 | 4 | 8 | [ 1, 104, 104, 1 ] , [ 14, 91, 39, 1 ] , [ 33, 32, 112, 33 ] , [ 49, 112, 128, 161 ] , [ 53, 26, 91, 131 ] , [ 97, 32, 112, 97 ] , [ 105, 52, 52, 105 ] , [ 105, 104, 0, 105 ] , [ 145, 112, 80, 145 ] , [ 157, 156, 0, 53 ] , [ 183, 0, 104, 183 ] | |||
^ | Level 210 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/210Z) Matrix Generators |
210A15 | 210 | 2 | 35 | 12 | 0 | [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 106, 105, 105, 1 ] , [ 113, 0, 168, 197 ] , [ 127, 126, 0, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 165, 61 ] , [ 190, 147, 147, 169 ] | |||
210B15 | 210 | 2 | 105 | 12 | 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, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 60, 61 ] , [ 190, 147, 147, 169 ] | |||
210C15 | 252 | 2 | 42 | 24 | 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, 75, 1 ] , [ 187, 90, 54, 163 ] | |||
210D15 | 252 | 2 | 126 | 24 | 0 | [ 1, 150, 60, 181 ] , [ 31, 180, 150, 31 ] , [ 41, 40, 85, 1 ] , [ 51, 50, 205, 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, 54, 163 ] | |||
^ | Level 240 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/240Z) Matrix Generators |
240A15 | 240 | 2 | 40 | 6 | 12 | [ 1, 192, 176, 193 ] , [ 31, 0, 0, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 195, 195, 226 ] , [ 81, 160, 80, 81 ] , [ 121, 0, 120, 121 ] , [ 121, 120, 0, 121 ] , [ 145, 48, 48, 145 ] , [ 161, 0, 0, 161 ] , [ 161, 80, 80, 1 ] , [ 176, 105, 135, 56 ] , [ 181, 0, 60, 61 ] , [ 181, 180, 120, 61 ] , [ 193, 0, 0, 97 ] | |||
240B15 | 240 | 2 | 40 | 6 | 12 | [ 1, 192, 176, 193 ] , [ 31, 60, 180, 31 ] , [ 49, 0, 0, 49 ] , [ 81, 160, 80, 81 ] , [ 121, 0, 120, 121 ] , [ 121, 120, 0, 121 ] , [ 145, 48, 48, 145 ] , [ 161, 0, 0, 161 ] , [ 161, 80, 80, 1 ] , [ 176, 105, 135, 116 ] , [ 181, 0, 60, 61 ] , [ 181, 15, 15, 106 ] , [ 181, 180, 120, 61 ] , [ 193, 0, 0, 97 ] |