[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:
18
19
22
27
32
33
34
35
36
39
40
42
44
45
48
49
50
55
56
60
63
64
70
72
76
78
79
80
84
86
88
90
91
96
105
111
117
120
126
140
144
148
152
156
160
168
180
189
192
198
207
210
213
214
217
222
223
225
229
234
250
264
^ | Level 18 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/18Z) Matrix Generators |
---|---|---|---|---|---|---|---|---|---|
18A18 | 324 | 1 | 81 | 4 | 0 | [ 5, 2, 11, 1 ] , [ 5, 6, 6, 11 ] , [ 7, 6, 6, 13 ] | |||
^ | Level 19 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/19Z) Matrix Generators |
19A18 | 342 | 2 | 171 | 10 | 0 | [ 2, 10, 8, 12 ] , [ 10, 1, 13, 9 ] , [ 18, 0, 0, 18 ] | |||
^ | Level 22 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/22Z) Matrix Generators |
22A18 | 330 | 1 | 165 | 2 | 0 | [ 1, 0, 11, 1 ] , [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 21, 0, 0, 21 ] , [ 21, 14, 14, 1 ] | |||
22B18 | 330 | 1 | 165 | 12 | 0 | [ 1, 8, 8, 21 ] , [ 9, 8, 9, 13 ] , [ 12, 11, 11, 1 ] , [ 21, 0, 0, 21 ] , [ 21, 14, 14, 1 ] | |||
22C18 | 330 | 1 | 165 | 12 | 0 | [ 13, 20, 20, 19 ] , [ 19, 2, 2, 13 ] , [ 19, 10, 21, 3 ] , [ 21, 0, 0, 21 ] , [ 21, 14, 14, 1 ] | |||
^ | Level 27 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/27Z) Matrix Generators |
27A18 | 324 | 1 | 108 | 0 | 3 | [ 1, 0, 18, 1 ] , [ 16, 15, 25, 10 ] , [ 19, 21, 26, 16 ] , [ 26, 0, 0, 26 ] | |||
27B18 | 324 | 2 | 108 | 0 | 3 | [ 1, 0, 18, 1 ] , [ 1, 12, 2, 25 ] , [ 7, 24, 4, 10 ] , [ 26, 0, 0, 26 ] | |||
^ | Level 32 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/32Z) Matrix Generators |
32A18 | 384 | 1 | 96 | 4 | 0 | [ 1, 0, 16, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 8, 15, 17, 16 ] , [ 8, 31, 1, 24 ] , [ 31, 0, 0, 31 ] , [ 31, 16, 16, 31 ] , [ 31, 24, 8, 31 ] | |||
32B18 | 384 | 1 | 96 | 4 | 0 | [ 1, 0, 16, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 1 ] , [ 1, 24, 24, 1 ] , [ 8, 15, 17, 8 ] , [ 31, 0, 0, 31 ] , [ 31, 16, 16, 31 ] , [ 31, 24, 8, 31 ] | |||
^ | Level 33 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/33Z) Matrix Generators |
33A18 | 330 | 2 | 165 | 22 | 0 | [ 10, 0, 0, 10 ] , [ 11, 21, 12, 11 ] , [ 12, 8, 19, 21 ] , [ 19, 24, 24, 13 ] , [ 22, 32, 23, 11 ] , [ 23, 0, 0, 23 ] | |||
^ | Level 34 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/34Z) Matrix Generators |
34A18 | 306 | 1 | 153 | 16 | 0 | [ 1, 5, 29, 10 ] , [ 1, 17, 17, 18 ] , [ 3, 11, 30, 31 ] , [ 6, 31, 1, 28 ] , [ 10, 21, 13, 7 ] , [ 18, 17, 17, 1 ] , [ 33, 17, 17, 16 ] | |||
^ | Level 35 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/35Z) Matrix Generators |
35A18 | 280 | 1 | 280 | 8 | 1 | [ 1, 21, 7, 8 ] , [ 1, 25, 10, 6 ] , [ 6, 0, 0, 6 ] , [ 6, 20, 15, 21 ] , [ 22, 7, 0, 8 ] , [ 29, 0, 0, 29 ] | |||
^ | Level 36 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/36Z) Matrix Generators |
36A18 | 324 | 1 | 81 | 4 | 0 | [ 13, 12, 3, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 0, 18, 19 ] , [ 23, 2, 29, 1 ] , [ 29, 12, 12, 5 ] | |||
36B18 | 324 | 2 | 81 | 16 | 0 | [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 0, 19 ] , [ 19, 0, 18, 19 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] | |||
^ | Level 39 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/39Z) Matrix Generators |
39A18 | 273 | 1 | 91 | 9 | 0 | [ 1, 13, 13, 14 ] , [ 1, 26, 26, 14 ] , [ 14, 0, 0, 14 ] , [ 20, 23, 8, 19 ] , [ 27, 1, 23, 24 ] , [ 30, 17, 25, 9 ] , [ 38, 0, 0, 38 ] | |||
^ | Level 40 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/40Z) Matrix Generators |
40A18 | 240 | 1 | 5 | 0 | 0 | [ 9, 0, 0, 9 ] , [ 9, 32, 24, 1 ] , [ 17, 8, 16, 17 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 31, 0, 0, 31 ] , [ 33, 0, 8, 17 ] | |||
40B18 | 240 | 1 | 20 | 0 | 0 | [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 6, 35, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 20, 31 ] | |||
40C18 | 240 | 1 | 60 | 0 | 0 | [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 16, 15, 25, 36 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 24, 17 ] , [ 31, 20, 20, 31 ] | |||
40D18 | 240 | 1 | 60 | 0 | 0 | [ 1, 5, 25, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 36, 0, 33 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 39, 20, 20, 39 ] | |||
^ | Level 42 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/42Z) Matrix Generators |
42A18 | 252 | 1 | 63 | 4 | 0 | [ 1, 30, 18, 37 ] , [ 13, 0, 0, 13 ] , [ 15, 26, 22, 27 ] , [ 15, 35, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] | |||
42B18 | 252 | 2 | 21 | 0 | 0 | [ 1, 0, 21, 1 ] , [ 13, 0, 0, 13 ] , [ 19, 0, 24, 31 ] , [ 19, 30, 18, 13 ] , [ 29, 0, 21, 29 ] , [ 31, 24, 6, 25 ] , [ 37, 6, 12, 19 ] | |||
42C18 | 252 | 2 | 63 | 4 | 0 | [ 5, 30, 39, 41 ] , [ 5, 36, 30, 23 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ] | |||
^ | Level 44 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/44Z) Matrix Generators |
44A18 | 330 | 1 | 165 | 12 | 0 | [ 1, 0, 22, 1 ] , [ 13, 20, 20, 41 ] , [ 21, 0, 0, 21 ] , [ 21, 36, 36, 1 ] , [ 23, 0, 11, 23 ] , [ 23, 0, 22, 23 ] , [ 37, 2, 30, 29 ] , [ 41, 10, 32, 25 ] , [ 41, 24, 24, 13 ] | |||
^ | Level 45 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/45Z) Matrix Generators |
45A18 | 270 | 1 | 135 | 10 | 0 | [ 6, 5, 25, 36 ] , [ 11, 5, 35, 16 ] , [ 11, 15, 15, 41 ] , [ 13, 31, 25, 32 ] , [ 16, 0, 15, 31 ] , [ 31, 15, 15, 16 ] , [ 44, 0, 0, 44 ] | |||
45B18 | 270 | 1 | 270 | 6 | 3 | [ 6, 35, 25, 11 ] , [ 10, 18, 18, 19 ] , [ 26, 0, 0, 26 ] , [ 36, 10, 35, 36 ] , [ 37, 0, 36, 28 ] , [ 41, 10, 10, 31 ] , [ 44, 0, 0, 44 ] | |||
45C18 | 324 | 2 | 162 | 16 | 0 | [ 4, 7, 4, 41 ] , [ 4, 15, 15, 34 ] , [ 4, 32, 14, 11 ] , [ 16, 30, 30, 31 ] , [ 28, 9, 9, 19 ] , [ 41, 30, 30, 11 ] | |||
^ | Level 48 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/48Z) Matrix Generators |
48A18 | 256 | 1 | 256 | 0 | 1 | [ 1, 0, 32, 1 ] , [ 16, 27, 45, 16 ] , [ 17, 0, 32, 17 ] , [ 25, 0, 0, 25 ] , [ 31, 0, 0, 31 ] , [ 37, 21, 45, 10 ] , [ 37, 24, 24, 13 ] | |||
48B18 | 288 | 1 | 12 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 32, 32, 17 ] , [ 13, 12, 0, 37 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] | |||
48C18 | 288 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 17, 16, 16, 1 ] , [ 33, 16, 35, 33 ] , [ 47, 0, 0, 47 ] | |||
48D18 | 288 | 1 | 24 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 15, 32, 10, 15 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 33, 32, 10, 33 ] | |||
48E18 | 288 | 1 | 24 | 12 | 0 | [ 0, 5, 19, 0 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48F18 | 288 | 1 | 24 | 12 | 0 | [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 16, 16, 1 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 45, 16, 8, 21 ] , [ 47, 0, 0, 47 ] | |||
48G18 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 13, 12, 0, 37 ] , [ 13, 28, 28, 5 ] , [ 13, 36, 12, 37 ] , [ 13, 44, 44, 5 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 47, 0, 0, 47 ] | |||
48H18 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 6, 17 ] , [ 25, 16, 40, 41 ] , [ 33, 16, 35, 33 ] , [ 41, 16, 40, 25 ] , [ 47, 0, 0, 47 ] | |||
48I18 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 40, 16, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 12, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 8, 10, 33 ] , [ 33, 40, 32, 33 ] , [ 47, 16, 10, 31 ] | |||
48J18 | 288 | 1 | 72 | 8 | 0 | [ 1, 16, 28, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 12, 12, 17 ] , [ 24, 25, 23, 12 ] , [ 33, 16, 32, 33 ] , [ 47, 36, 12, 47 ] | |||
48K18 | 288 | 1 | 72 | 8 | 0 | [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 12, 12, 17 ] , [ 24, 25, 23, 12 ] , [ 32, 1, 31, 16 ] , [ 33, 16, 32, 33 ] , [ 47, 36, 12, 47 ] | |||
48L18 | 288 | 1 | 72 | 12 | 0 | [ 0, 5, 19, 0 ] , [ 1, 4, 4, 17 ] , [ 1, 24, 24, 1 ] , [ 1, 36, 12, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 24, 24, 25 ] , [ 33, 20, 4, 33 ] , [ 47, 0, 0, 47 ] | |||
48M18 | 288 | 1 | 72 | 12 | 0 | [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 32, 17, 47, 16 ] , [ 32, 45, 27, 8 ] , [ 47, 0, 0, 47 ] | |||
48N18 | 288 | 1 | 72 | 12 | 0 | [ 1, 24, 24, 1 ] , [ 12, 5, 19, 36 ] , [ 13, 40, 40, 5 ] , [ 17, 0, 0, 17 ] , [ 24, 5, 19, 0 ] , [ 33, 16, 32, 33 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] | |||
48O18 | 288 | 1 | 72 | 12 | 0 | [ 1, 24, 24, 1 ] , [ 12, 5, 19, 36 ] , [ 17, 0, 0, 17 ] , [ 24, 5, 19, 0 ] , [ 33, 16, 32, 33 ] , [ 40, 17, 47, 8 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] | |||
48P18 | 288 | 1 | 72 | 12 | 0 | [ 0, 1, 47, 24 ] , [ 0, 37, 35, 0 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 28, 17, 47, 44 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48Q18 | 288 | 1 | 72 | 12 | 0 | [ 0, 1, 47, 24 ] , [ 0, 37, 35, 0 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 20, 44, 1 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] | |||
48R18 | 288 | 2 | 72 | 8 | 0 | [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 0, 24, 17 ] , [ 17, 12, 12, 17 ] , [ 24, 25, 23, 12 ] , [ 32, 1, 31, 16 ] , [ 32, 33, 15, 20 ] , [ 47, 36, 12, 47 ] | |||
48S18 | 288 | 2 | 72 | 12 | 0 | [ 1, 24, 24, 1 ] , [ 12, 5, 19, 36 ] , [ 16, 21, 3, 16 ] , [ 17, 0, 0, 17 ] , [ 24, 5, 19, 0 ] , [ 40, 17, 47, 8 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ] | |||
48T18 | 288 | 2 | 72 | 12 | 0 | [ 0, 1, 47, 24 ] , [ 0, 37, 35, 0 ] , [ 1, 24, 24, 1 ] , [ 16, 33, 15, 16 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 28, 17, 47, 44 ] , [ 47, 0, 0, 47 ] | |||
^ | Level 49 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/49Z) Matrix Generators |
49A18 | 294 | 2 | 147 | 18 | 0 | [ 8, 14, 7, 43 ] , [ 15, 0, 28, 36 ] , [ 16, 47, 6, 33 ] , [ 42, 38, 9, 42 ] , [ 48, 0, 0, 48 ] | |||
^ | Level 50 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/50Z) Matrix Generators |
50A18 | 300 | 1 | 75 | 4 | 0 | [ 1, 0, 10, 1 ] , [ 1, 0, 40, 1 ] , [ 7, 14, 35, 13 ] , [ 26, 25, 25, 1 ] , [ 31, 10, 20, 21 ] , [ 39, 30, 0, 9 ] | |||
50B18 | 300 | 1 | 75 | 4 | 0 | [ 11, 0, 40, 41 ] , [ 21, 10, 10, 31 ] , [ 26, 25, 25, 1 ] , [ 27, 14, 5, 23 ] , [ 49, 0, 0, 49 ] | |||
^ | Level 55 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/55Z) Matrix Generators |
55A18 | 275 | 1 | 275 | 3 | 8 | [ 0, 42, 17, 21 ] , [ 1, 22, 44, 34 ] , [ 12, 0, 33, 23 ] , [ 12, 22, 44, 12 ] , [ 34, 0, 0, 34 ] , [ 43, 38, 26, 23 ] , [ 53, 6, 45, 2 ] , [ 54, 0, 0, 54 ] | |||
^ | Level 56 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/56Z) Matrix Generators |
56A18 | 252 | 1 | 63 | 4 | 0 | [ 1, 14, 49, 15 ] , [ 1, 28, 42, 1 ] , [ 1, 40, 50, 41 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 10, 49 ] | |||
^ | Level 60 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/60Z) Matrix Generators |
60A18 | 240 | 1 | 20 | 0 | 0 | [ 1, 20, 10, 21 ] , [ 1, 24, 12, 49 ] , [ 1, 30, 30, 1 ] , [ 13, 12, 0, 37 ] , [ 21, 5, 25, 26 ] , [ 21, 20, 40, 41 ] , [ 31, 0, 30, 31 ] , [ 49, 0, 0, 49 ] | |||
60B18 | 240 | 1 | 20 | 0 | 0 | [ 1, 24, 12, 49 ] , [ 1, 30, 30, 1 ] , [ 1, 50, 40, 21 ] , [ 13, 12, 0, 37 ] , [ 13, 48, 24, 1 ] , [ 21, 20, 40, 41 ] , [ 31, 30, 0, 31 ] , [ 49, 0, 0, 49 ] | |||
60C18 | 240 | 1 | 60 | 0 | 0 | [ 1, 24, 42, 49 ] , [ 1, 30, 30, 1 ] , [ 1, 44, 52, 9 ] , [ 13, 12, 0, 37 ] , [ 21, 5, 25, 26 ] , [ 21, 20, 40, 41 ] , [ 31, 0, 30, 31 ] , [ 49, 0, 0, 49 ] | |||
60D18 | 240 | 1 | 80 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 1, 45, 45, 46 ] , [ 13, 48, 0, 37 ] , [ 16, 15, 45, 16 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 36, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] | |||
60E18 | 240 | 1 | 80 | 0 | 3 | [ 1, 15, 55, 46 ] , [ 13, 40, 16, 17 ] , [ 21, 40, 20, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 49, 48, 48, 25 ] | |||
60F18 | 240 | 1 | 80 | 0 | 3 | [ 19, 30, 15, 49 ] , [ 21, 20, 40, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 30, 15, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 40, 1 ] , [ 46, 45, 45, 1 ] , [ 49, 48, 28, 25 ] | |||
60G18 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 20, 1 ] , [ 13, 48, 0, 37 ] , [ 16, 15, 45, 16 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 36, 13 ] , [ 41, 0, 20, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 28, 25 ] | |||
60H18 | 240 | 1 | 240 | 0 | 3 | [ 17, 10, 34, 13 ] , [ 21, 20, 10, 21 ] , [ 31, 10, 40, 11 ] , [ 36, 35, 25, 11 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 48, 25 ] , [ 51, 40, 50, 51 ] | |||
60I18 | 240 | 2 | 80 | 0 | 3 | [ 1, 45, 45, 46 ] , [ 13, 48, 0, 37 ] , [ 16, 15, 45, 16 ] , [ 25, 12, 52, 49 ] , [ 31, 0, 0, 31 ] , [ 37, 0, 36, 13 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] | |||
60J18 | 270 | 1 | 135 | 10 | 0 | [ 1, 0, 30, 1 ] , [ 1, 20, 5, 41 ] , [ 17, 10, 52, 13 ] , [ 19, 42, 54, 31 ] , [ 31, 0, 30, 31 ] , [ 39, 22, 14, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ] | |||
^ | Level 63 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/63Z) Matrix Generators |
63A18 | 252 | 2 | 42 | 0 | 0 | [ 4, 48, 3, 52 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 22, 21, 21, 43 ] , [ 23, 30, 15, 47 ] , [ 28, 18, 54, 28 ] , [ 37, 45, 0, 46 ] , [ 46, 27, 45, 10 ] , [ 46, 54, 54, 10 ] , [ 55, 0, 0, 55 ] , [ 55, 42, 0, 55 ] | |||
63B18 | 252 | 2 | 63 | 8 | 0 | [ 12, 34, 32, 54 ] , [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 26, 42, 30, 17 ] , [ 28, 45, 9, 28 ] , [ 43, 0, 42, 22 ] , [ 43, 21, 21, 22 ] , [ 46, 18, 0, 37 ] , [ 55, 0, 0, 55 ] | |||
63C18 | 252 | 2 | 63 | 8 | 0 | [ 19, 54, 27, 37 ] , [ 22, 0, 21, 43 ] , [ 26, 42, 30, 17 ] , [ 28, 45, 9, 28 ] , [ 32, 10, 55, 31 ] , [ 43, 0, 42, 22 ] , [ 43, 21, 21, 22 ] , [ 46, 18, 0, 37 ] , [ 55, 0, 0, 55 ] | |||
63D18 | 252 | 2 | 84 | 0 | 0 | [ 2, 44, 1, 54 ] , [ 5, 59, 40, 6 ] , [ 15, 56, 7, 1 ] , [ 19, 45, 54, 55 ] , [ 22, 42, 21, 43 ] , [ 28, 9, 45, 1 ] , [ 28, 45, 9, 28 ] , [ 37, 9, 36, 19 ] , [ 48, 32, 58, 40 ] , [ 55, 0, 0, 55 ] | |||
63E18 | 252 | 2 | 84 | 0 | 3 | [ 0, 43, 41, 62 ] , [ 3, 26, 34, 43 ] , [ 4, 51, 57, 34 ] , [ 15, 46, 38, 20 ] , [ 28, 9, 45, 1 ] , [ 28, 45, 9, 28 ] , [ 37, 27, 18, 37 ] , [ 46, 27, 45, 10 ] , [ 52, 21, 33, 40 ] , [ 55, 0, 0, 55 ] | |||
63F18 | 252 | 2 | 126 | 8 | 0 | [ 1, 42, 21, 1 ] , [ 7, 36, 48, 13 ] , [ 10, 36, 18, 46 ] , [ 28, 18, 54, 28 ] , [ 43, 0, 42, 22 ] , [ 43, 11, 59, 62 ] , [ 50, 21, 21, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 27, 57, 28 ] | |||
63G18 | 252 | 2 | 126 | 8 | 0 | [ 7, 36, 48, 13 ] , [ 10, 36, 18, 46 ] , [ 28, 18, 54, 28 ] , [ 28, 36, 48, 55 ] , [ 34, 27, 15, 49 ] , [ 43, 11, 59, 62 ] , [ 43, 42, 42, 22 ] , [ 50, 21, 21, 29 ] , [ 55, 0, 0, 55 ] , [ 55, 6, 57, 28 ] | |||
^ | Level 64 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/64Z) Matrix Generators |
64A18 | 384 | 1 | 96 | 4 | 0 | [ 1, 32, 32, 1 ] , [ 9, 0, 0, 57 ] , [ 17, 0, 0, 49 ] , [ 17, 48, 16, 49 ] , [ 32, 1, 63, 0 ] , [ 33, 0, 0, 33 ] , [ 41, 24, 40, 25 ] , [ 48, 9, 7, 16 ] , [ 53, 12, 20, 13 ] , [ 53, 60, 36, 13 ] , [ 63, 0, 0, 63 ] | |||
64B18 | 384 | 1 | 96 | 4 | 0 | [ 0, 1, 63, 0 ] , [ 1, 32, 32, 1 ] , [ 4, 29, 27, 4 ] , [ 9, 0, 0, 57 ] , [ 17, 0, 0, 49 ] , [ 17, 48, 16, 49 ] , [ 33, 0, 0, 33 ] , [ 41, 24, 40, 25 ] , [ 48, 9, 7, 48 ] , [ 53, 60, 4, 13 ] , [ 63, 0, 0, 63 ] | |||
^ | Level 70 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/70Z) Matrix Generators |
70A18 | 240 | 1 | 40 | 0 | 0 | [ 1, 0, 50, 1 ] , [ 1, 35, 35, 36 ] , [ 11, 0, 30, 51 ] , [ 13, 7, 35, 62 ] , [ 41, 35, 35, 6 ] , [ 48, 35, 21, 27 ] , [ 64, 35, 35, 29 ] | |||
70B18 | 240 | 1 | 40 | 0 | 0 | [ 1, 0, 30, 1 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 35, 55, 6 ] , [ 43, 0, 56, 57 ] , [ 43, 42, 0, 57 ] , [ 57, 14, 2, 57 ] | |||
70C18 | 240 | 1 | 40 | 0 | 0 | [ 1, 0, 10, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 42, 42, 15 ] , [ 29, 56, 28, 1 ] , [ 41, 0, 40, 41 ] , [ 43, 0, 56, 57 ] , [ 51, 0, 40, 11 ] | |||
70D18 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 50, 1 ] , [ 1, 35, 35, 36 ] , [ 11, 0, 30, 51 ] , [ 41, 35, 35, 6 ] , [ 43, 0, 21, 57 ] , [ 43, 7, 0, 57 ] , [ 64, 35, 35, 29 ] | |||
70E18 | 252 | 1 | 126 | 4 | 0 | [ 11, 6, 38, 59 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 25, 66 ] , [ 51, 50, 10, 51 ] , [ 57, 42, 42, 15 ] | |||
70F18 | 252 | 2 | 126 | 0 | 0 | [ 1, 50, 40, 41 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 21, 43 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 57, 42, 42, 15 ] | |||
70G18 | 252 | 2 | 126 | 4 | 0 | [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 36, 61, 13 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 43, 22, 40, 27 ] , [ 57, 42, 42, 15 ] | |||
^ | Level 72 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/72Z) Matrix Generators |
72A18 | 288 | 2 | 144 | 20 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 9, 64, 8, 33 ] , [ 17, 32, 8, 49 ] , [ 25, 0, 48, 49 ] , [ 28, 9, 63, 28 ] , [ 31, 32, 56, 23 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] | |||
72B18 | 288 | 2 | 144 | 20 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 25, 0, 48, 49 ] , [ 27, 64, 8, 51 ] , [ 31, 32, 56, 23 ] , [ 36, 19, 53, 60 ] , [ 49, 24, 0, 25 ] , [ 49, 56, 32, 41 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] | |||
72C18 | 288 | 2 | 144 | 20 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 13, 32, 56, 5 ] , [ 17, 32, 8, 49 ] , [ 25, 0, 48, 49 ] , [ 27, 64, 8, 51 ] , [ 28, 27, 45, 28 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] | |||
72D18 | 288 | 2 | 144 | 20 | 0 | [ 1, 9, 45, 46 ] , [ 1, 24, 48, 1 ] , [ 13, 32, 56, 5 ] , [ 17, 32, 8, 49 ] , [ 25, 0, 48, 49 ] , [ 27, 64, 8, 51 ] , [ 36, 19, 53, 60 ] , [ 49, 24, 0, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 0, 24, 41 ] | |||
72E18 | 324 | 1 | 81 | 28 | 0 | [ 1, 16, 64, 17 ] , [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 36, 1 ] , [ 9, 16, 32, 9 ] , [ 19, 36, 0, 19 ] , [ 19, 45, 54, 37 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 12, 48, 65 ] , [ 41, 48, 48, 65 ] , [ 55, 27, 18, 1 ] | |||
^ | Level 76 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/76Z) Matrix Generators |
76A18 | 240 | 1 | 20 | 0 | 0 | [ 21, 48, 36, 57 ] , [ 29, 52, 20, 49 ] , [ 33, 22, 72, 25 ] , [ 33, 60, 34, 25 ] , [ 35, 42, 30, 23 ] , [ 41, 16, 28, 61 ] , [ 53, 64, 48, 25 ] , [ 61, 8, 52, 33 ] | |||
76B18 | 240 | 1 | 40 | 0 | 0 | [ 8, 39, 73, 71 ] , [ 13, 48, 66, 45 ] , [ 21, 48, 36, 57 ] , [ 39, 0, 38, 39 ] , [ 39, 38, 0, 39 ] , [ 61, 8, 52, 33 ] | |||
76C18 | 240 | 1 | 120 | 0 | 0 | [ 1, 38, 19, 39 ] , [ 39, 0, 0, 39 ] , [ 45, 60, 64, 33 ] , [ 57, 20, 56, 45 ] , [ 69, 48, 28, 25 ] , [ 73, 16, 32, 57 ] | |||
^ | Level 78 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/78Z) Matrix Generators |
78A18 | 252 | 1 | 42 | 0 | 0 | [ 7, 34, 28, 47 ] , [ 13, 42, 69, 67 ] , [ 15, 10, 74, 39 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 77, 6, 60, 29 ] | |||
78B18 | 252 | 1 | 126 | 4 | 0 | [ 1, 54, 27, 55 ] , [ 13, 70, 70, 17 ] , [ 15, 10, 74, 39 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 77, 6, 60, 29 ] | |||
78C18 | 252 | 2 | 42 | 0 | 0 | [ 1, 0, 39, 1 ] , [ 1, 6, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 26, 27 ] , [ 31, 66, 36, 49 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] | |||
^ | Level 79 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/79Z) Matrix Generators |
79A18 | 240 | 1 | 80 | 0 | 0 | [ 22, 24, 32, 17 ] , [ 43, 60, 11, 76 ] , [ 61, 36, 58, 20 ] | |||
^ | Level 80 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/80Z) Matrix Generators |
80A18 | 240 | 1 | 15 | 0 | 0 | [ 1, 32, 64, 49 ] , [ 11, 30, 10, 71 ] , [ 17, 0, 48, 33 ] , [ 17, 32, 64, 17 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 20, 21 ] | |||
80B18 | 240 | 1 | 60 | 0 | 0 | [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 36 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 64, 17 ] , [ 21, 60, 20, 61 ] , [ 31, 20, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 49, 0, 0, 49 ] | |||
80C18 | 240 | 1 | 60 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 16, 15, 65, 56 ] , [ 17, 0, 32, 33 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 60, 61 ] , [ 31, 40, 40, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 51, 0, 40, 11 ] | |||
80D18 | 240 | 2 | 40 | 6 | 0 | [ 1, 40, 40, 1 ] , [ 1, 48, 16, 49 ] , [ 6, 35, 55, 41 ] , [ 16, 15, 65, 76 ] , [ 17, 0, 32, 33 ] , [ 31, 20, 60, 31 ] , [ 41, 0, 40, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 40, 20, 21 ] | |||
80E18 | 240 | 2 | 60 | 4 | 0 | [ 1, 40, 40, 1 ] , [ 13, 78, 6, 73 ] , [ 17, 48, 16, 17 ] , [ 21, 20, 20, 61 ] , [ 33, 16, 0, 17 ] , [ 41, 40, 40, 41 ] , [ 47, 32, 64, 47 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 62, 3, 41, 2 ] | |||
80F18 | 240 | 2 | 120 | 6 | 0 | [ 1, 40, 40, 1 ] , [ 6, 35, 55, 41 ] , [ 16, 15, 65, 36 ] , [ 16, 63, 1, 44 ] , [ 17, 0, 32, 33 ] , [ 31, 20, 60, 31 ] , [ 41, 0, 40, 41 ] , [ 41, 60, 60, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 40, 20, 21 ] | |||
^ | Level 84 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/84Z) Matrix Generators |
84A18 | 252 | 2 | 63 | 4 | 0 | [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 7, 57 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 45, 68, 40, 81 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] | |||
84B18 | 252 | 2 | 63 | 8 | 0 | [ 1, 0, 42, 1 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 43, 0, 42, 43 ] , [ 43, 42, 63, 1 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 39, 13 ] , [ 73, 24, 48, 25 ] | |||
84C18 | 252 | 2 | 63 | 8 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 26, 47, 25 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] | |||
84D18 | 252 | 2 | 63 | 8 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 54, 54, 11 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] | |||
84E18 | 252 | 2 | 63 | 8 | 0 | [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 27, 82, 38, 75 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 29, 56, 56, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 47, 2, 11, 13 ] , [ 47, 36, 72, 23 ] | |||
84F18 | 252 | 2 | 63 | 8 | 0 | [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ] , [ 75, 2, 46, 27 ] | |||
84G18 | 252 | 2 | 63 | 8 | 0 | [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 43, 42, 63, 1 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ] , [ 83, 82, 31, 61 ] | |||
84H18 | 252 | 2 | 63 | 8 | 0 | [ 13, 0, 0, 13 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 43, 42, 63, 1 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 83, 82, 31, 61 ] | |||
^ | Level 86 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/86Z) Matrix Generators |
86A18 | 264 | 1 | 88 | 0 | 6 | [ 13, 76, 74, 49 ] , [ 41, 50, 54, 47 ] , [ 80, 71, 25, 5 ] , [ 85, 0, 0, 85 ] | |||
^ | Level 88 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/88Z) Matrix Generators |
88A18 | 264 | 2 | 66 | 12 | 0 | [ 1, 0, 44, 1 ] , [ 9, 24, 4, 1 ] , [ 45, 0, 44, 45 ] , [ 65, 0, 0, 65 ] , [ 67, 0, 44, 67 ] , [ 67, 66, 55, 45 ] , [ 71, 42, 79, 17 ] | |||
88B18 | 264 | 2 | 132 | 12 | 0 | [ 1, 0, 44, 1 ] , [ 1, 44, 66, 1 ] , [ 23, 0, 0, 23 ] , [ 23, 66, 55, 1 ] , [ 41, 14, 81, 47 ] , [ 47, 10, 79, 73 ] , [ 65, 0, 0, 65 ] | |||
^ | Level 90 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/90Z) Matrix Generators |
90A18 | 240 | 1 | 80 | 0 | 3 | [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 61, 0, 30, 31 ] , [ 61, 15, 85, 46 ] , [ 61, 75, 15, 76 ] , [ 73, 36, 0, 37 ] , [ 89, 0, 0, 89 ] | |||
90B18 | 270 | 1 | 135 | 0 | 12 | [ 1, 40, 40, 71 ] , [ 19, 0, 0, 19 ] , [ 31, 80, 80, 41 ] , [ 46, 45, 45, 1 ] , [ 51, 80, 70, 11 ] , [ 55, 9, 81, 64 ] , [ 64, 63, 81, 1 ] , [ 71, 0, 0, 71 ] , [ 82, 9, 45, 73 ] | |||
90C18 | 270 | 1 | 135 | 16 | 0 | [ 1, 45, 45, 46 ] , [ 3, 49, 65, 42 ] , [ 13, 69, 60, 7 ] , [ 31, 0, 30, 61 ] , [ 41, 30, 30, 11 ] , [ 61, 30, 30, 31 ] , [ 64, 45, 45, 19 ] , [ 71, 50, 50, 1 ] , [ 76, 3, 81, 34 ] | |||
90D18 | 324 | 1 | 162 | 28 | 0 | [ 29, 42, 69, 41 ] , [ 41, 30, 30, 11 ] , [ 41, 80, 80, 31 ] , [ 46, 45, 45, 1 ] , [ 49, 60, 60, 79 ] , [ 61, 30, 30, 31 ] , [ 71, 40, 40, 1 ] , [ 73, 54, 54, 19 ] | |||
^ | Level 91 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/91Z) Matrix Generators |
91A18 | 294 | 2 | 98 | 18 | 0 | [ 14, 78, 13, 14 ] , [ 18, 44, 2, 10 ] , [ 19, 4, 46, 72 ] , [ 27, 0, 0, 27 ] , [ 53, 39, 78, 66 ] , [ 66, 26, 26, 53 ] , [ 66, 78, 0, 40 ] , [ 90, 0, 0, 90 ] | |||
^ | Level 96 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/96Z) Matrix Generators |
96A18 | 288 | 1 | 12 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 64, 64, 65 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 12, 65 ] , [ 75, 8, 58, 51 ] , [ 85, 72, 72, 61 ] , [ 85, 88, 58, 77 ] | |||
96B18 | 288 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 64, 64, 65 ] , [ 25, 48, 24, 73 ] , [ 33, 64, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 65, 64, 64, 1 ] , [ 95, 0, 0, 95 ] | |||
96C18 | 288 | 1 | 36 | 0 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 21, 88, 56, 93 ] , [ 25, 48, 48, 73 ] , [ 31, 0, 42, 31 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 12, 65 ] , [ 85, 72, 72, 61 ] , [ 85, 88, 58, 77 ] , [ 85, 88, 88, 29 ] | |||
96D18 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 25, 48, 24, 73 ] , [ 25, 64, 88, 41 ] , [ 33, 64, 83, 33 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 89, 64, 88, 73 ] , [ 95, 0, 0, 95 ] | |||
96E18 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 54, 15, 43 ] , [ 13, 72, 72, 37 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 60, 65 ] , [ 65, 38, 77, 79 ] , [ 73, 48, 48, 25 ] , [ 95, 0, 0, 95 ] | |||
96F18 | 288 | 1 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 64, 82, 65 ] , [ 13, 72, 72, 37 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 60, 65 ] , [ 65, 38, 77, 79 ] , [ 73, 48, 48, 25 ] , [ 95, 0, 0, 95 ] | |||
96G18 | 288 | 2 | 72 | 8 | 0 | [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 54, 15, 43 ] , [ 13, 72, 72, 37 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 60, 65 ] , [ 65, 22, 61, 31 ] , [ 65, 38, 77, 79 ] , [ 73, 48, 48, 25 ] , [ 95, 0, 0, 95 ] | |||
^ | Level 105 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/105Z) Matrix Generators |
105A18 | 240 | 2 | 80 | 0 | 3 | [ 1, 0, 60, 1 ] , [ 1, 35, 35, 71 ] , [ 1, 42, 21, 43 ] , [ 22, 0, 42, 43 ] , [ 36, 35, 70, 36 ] , [ 46, 0, 70, 16 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] | |||
^ | Level 111 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/111Z) Matrix Generators |
111A18 | 228 | 1 | 38 | 0 | 0 | [ 1, 37, 37, 38 ] , [ 10, 33, 51, 13 ] , [ 38, 0, 0, 38 ] , [ 38, 37, 37, 1 ] , [ 40, 108, 66, 70 ] , [ 109, 72, 60, 4 ] , [ 110, 0, 0, 110 ] | |||
111B18 | 228 | 2 | 38 | 0 | 0 | [ 1, 74, 74, 38 ] , [ 7, 78, 102, 106 ] , [ 38, 0, 0, 38 ] , [ 38, 74, 74, 1 ] , [ 40, 108, 66, 70 ] , [ 71, 3, 45, 41 ] , [ 76, 18, 85, 7 ] | |||
^ | Level 117 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/117Z) Matrix Generators |
117A18 | 252 | 1 | 126 | 8 | 0 | [ 1, 72, 72, 37 ] , [ 14, 0, 0, 92 ] , [ 25, 45, 45, 67 ] , [ 40, 78, 78, 79 ] , [ 79, 0, 0, 40 ] , [ 82, 9, 90, 37 ] , [ 91, 109, 70, 35 ] , [ 105, 91, 26, 66 ] | |||
^ | Level 120 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/120Z) Matrix Generators |
120A18 | 240 | 1 | 60 | 0 | 0 | [ 1, 60, 0, 1 ] , [ 1, 80, 0, 1 ] , [ 31, 90, 60, 31 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 24, 25 ] , [ 61, 30, 0, 61 ] , [ 61, 60, 0, 61 ] , [ 71, 15, 60, 11 ] , [ 73, 0, 72, 97 ] , [ 89, 108, 36, 41 ] , [ 97, 24, 0, 73 ] | |||
120B18 | 240 | 1 | 60 | 8 | 0 | [ 1, 40, 100, 41 ] , [ 1, 60, 60, 1 ] , [ 25, 96, 24, 49 ] , [ 31, 60, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 56, 55, 25, 76 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 24, 0, 97 ] | |||
120C18 | 240 | 1 | 60 | 8 | 0 | [ 1, 60, 60, 1 ] , [ 25, 96, 24, 49 ] , [ 31, 60, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 56, 55, 25, 76 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 24, 0, 97 ] , [ 81, 100, 80, 81 ] | |||
120D18 | 240 | 1 | 120 | 0 | 0 | [ 1, 30, 0, 1 ] , [ 1, 40, 0, 1 ] , [ 1, 60, 0, 1 ] , [ 25, 24, 96, 49 ] , [ 31, 0, 0, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 71, 15, 30, 101 ] , [ 73, 0, 72, 97 ] , [ 79, 3, 6, 61 ] , [ 97, 24, 0, 73 ] | |||
120E18 | 240 | 2 | 40 | 0 | 6 | [ 25, 56, 24, 49 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 40, 100, 101 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 48, 97 ] , [ 85, 1, 9, 34 ] , [ 91, 60, 0, 91 ] , [ 97, 96, 0, 73 ] , [ 101, 40, 100, 61 ] | |||
120F18 | 240 | 2 | 60 | 8 | 0 | [ 1, 60, 60, 1 ] , [ 25, 96, 24, 49 ] , [ 31, 60, 60, 31 ] , [ 36, 55, 65, 36 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 24, 0, 97 ] | |||
^ | Level 126 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/126Z) Matrix Generators |
126A18 | 252 | 2 | 21 | 12 | 0 | [ 29, 84, 84, 113 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 117, 1 ] , [ 55, 108, 18, 1 ] , [ 57, 28, 35, 15 ] , [ 64, 63, 63, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 84, 84, 43 ] | |||
126B18 | 252 | 2 | 63 | 12 | 0 | [ 1, 63, 63, 64 ] , [ 29, 70, 7, 43 ] , [ 29, 84, 84, 113 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 57, 118, 44, 69 ] , [ 73, 72, 18, 73 ] | |||
126C18 | 252 | 2 | 63 | 12 | 0 | [ 29, 84, 84, 113 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 64, 63, 63, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 84, 84, 43 ] , [ 97, 92, 47, 29 ] , [ 113, 98, 77, 1 ] | |||
126D18 | 252 | 2 | 63 | 12 | 0 | [ 1, 18, 108, 55 ] , [ 1, 90, 72, 55 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 43, 56, 119, 29 ] , [ 55, 0, 0, 55 ] , [ 64, 63, 63, 1 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ] , [ 85, 84, 84, 43 ] | |||
126E18 | 252 | 2 | 63 | 12 | 0 | [ 1, 18, 108, 55 ] , [ 1, 28, 49, 113 ] , [ 1, 63, 63, 64 ] , [ 19, 36, 72, 37 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 120, 12, 1 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ] | |||
126F18 | 252 | 2 | 84 | 0 | 0 | [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 1, 84, 0, 1 ] , [ 1, 90, 72, 55 ] , [ 37, 90, 54, 19 ] , [ 43, 84, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 18, 1 ] , [ 71, 63, 0, 71 ] , [ 73, 54, 108, 73 ] | |||
126G18 | 252 | 2 | 126 | 8 | 0 | [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 29, 14, 56, 1 ] , [ 43, 0, 42, 85 ] , [ 43, 42, 42, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 15, 54, 1 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 113, 42, 42, 29 ] | |||
126H18 | 252 | 2 | 126 | 12 | 0 | [ 34, 41, 65, 8 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 57, 91, 98, 57 ] , [ 64, 21, 21, 1 ] , [ 71, 63, 105, 8 ] , [ 73, 72, 18, 73 ] , [ 85, 21, 21, 106 ] , [ 106, 63, 21, 85 ] | |||
126I18 | 252 | 2 | 126 | 12 | 0 | [ 17, 107, 32, 31 ] , [ 34, 41, 65, 8 ] , [ 43, 63, 105, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 73, 72, 18, 73 ] , [ 85, 0, 0, 43 ] , [ 101, 75, 87, 122 ] , [ 106, 105, 63, 85 ] | |||
126J18 | 252 | 2 | 126 | 12 | 0 | [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 90, 72, 55 ] , [ 29, 14, 119, 1 ] , [ 43, 63, 105, 22 ] , [ 55, 0, 0, 55 ] , [ 73, 72, 18, 73 ] , [ 85, 0, 0, 43 ] , [ 85, 21, 63, 106 ] , [ 113, 42, 42, 29 ] | |||
126K18 | 252 | 2 | 126 | 12 | 0 | [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 90, 72, 55 ] , [ 22, 105, 21, 43 ] , [ 29, 14, 119, 1 ] , [ 55, 0, 0, 55 ] , [ 73, 72, 18, 73 ] , [ 85, 21, 63, 106 ] , [ 106, 21, 21, 85 ] , [ 113, 42, 42, 29 ] | |||
^ | Level 140 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/140Z) Matrix Generators |
140A18 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 70, 1 ] , [ 1, 0, 105, 1 ] , [ 1, 28, 56, 29 ] , [ 1, 84, 28, 113 ] , [ 21, 120, 20, 121 ] , [ 29, 0, 0, 29 ] , [ 41, 80, 100, 21 ] , [ 57, 0, 112, 113 ] , [ 71, 0, 70, 71 ] , [ 101, 0, 40, 61 ] | |||
140B18 | 252 | 2 | 126 | 4 | 0 | [ 1, 60, 120, 61 ] , [ 11, 42, 9, 9 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 41, 92, 124, 29 ] , [ 61, 20, 40, 121 ] , [ 81, 42, 44, 9 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ] | |||
140C18 | 252 | 2 | 126 | 8 | 0 | [ 1, 60, 120, 61 ] , [ 11, 70, 65, 121 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 41, 92, 124, 29 ] , [ 61, 20, 40, 121 ] , [ 81, 42, 44, 9 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ] | |||
^ | Level 144 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/144Z) Matrix Generators |
144A18 | 216 | 1 | 27 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 64, 117, 99, 136 ] , [ 65, 32, 80, 97 ] , [ 73, 72, 72, 73 ] , [ 73, 128, 128, 41 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 119, 140, 44, 7 ] , [ 127, 72, 72, 127 ] | |||
144B18 | 216 | 1 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 10, 9, 27, 10 ] , [ 49, 96, 96, 97 ] , [ 55, 36, 108, 55 ] , [ 65, 32, 80, 97 ] , [ 73, 36, 108, 73 ] , [ 73, 72, 72, 73 ] , [ 73, 128, 128, 41 ] , [ 97, 0, 96, 49 ] , [ 109, 36, 36, 37 ] , [ 113, 48, 48, 65 ] , [ 137, 50, 98, 61 ] | |||
144C18 | 216 | 1 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 49, 96, 96, 97 ] , [ 55, 36, 108, 55 ] , [ 65, 32, 80, 97 ] , [ 73, 18, 90, 109 ] , [ 73, 36, 108, 73 ] , [ 73, 72, 72, 73 ] , [ 82, 9, 27, 10 ] , [ 97, 0, 96, 49 ] , [ 109, 36, 36, 37 ] , [ 113, 48, 48, 65 ] | |||
144D18 | 216 | 2 | 108 | 0 | 0 | [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 10, 9, 27, 10 ] , [ 49, 96, 96, 97 ] , [ 55, 36, 108, 55 ] , [ 65, 32, 8, 97 ] , [ 73, 36, 108, 73 ] , [ 73, 72, 72, 73 ] , [ 81, 98, 82, 117 ] , [ 97, 0, 96, 49 ] , [ 109, 36, 36, 37 ] , [ 113, 48, 48, 65 ] | |||
^ | Level 148 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/148Z) Matrix Generators |
148A18 | 228 | 1 | 114 | 0 | 0 | [ 1, 0, 74, 1 ] , [ 9, 36, 52, 93 ] , [ 13, 72, 72, 137 ] , [ 75, 0, 74, 75 ] , [ 81, 20, 0, 53 ] , [ 93, 24, 121, 1 ] , [ 93, 98, 84, 1 ] , [ 121, 52, 0, 137 ] | |||
^ | Level 152 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/152Z) Matrix Generators |
152A18 | 240 | 1 | 60 | 0 | 0 | [ 1, 0, 38, 1 ] , [ 1, 0, 76, 1 ] , [ 11, 52, 55, 39 ] , [ 17, 8, 120, 137 ] , [ 25, 80, 120, 1 ] , [ 33, 16, 88, 121 ] , [ 49, 0, 144, 121 ] , [ 53, 92, 104, 149 ] , [ 85, 80, 60, 69 ] , [ 97, 48, 36, 57 ] , [ 129, 16, 47, 73 ] | |||
152B18 | 240 | 1 | 120 | 0 | 0 | [ 1, 0, 76, 1 ] , [ 1, 0, 114, 1 ] , [ 1, 38, 95, 115 ] , [ 77, 0, 0, 77 ] , [ 97, 48, 112, 57 ] , [ 105, 144, 40, 65 ] , [ 115, 0, 76, 115 ] , [ 137, 16, 72, 65 ] , [ 137, 56, 24, 113 ] | |||
^ | Level 156 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/156Z) Matrix Generators |
156A18 | 252 | 1 | 126 | 4 | 0 | [ 13, 120, 147, 145 ] , [ 13, 148, 148, 17 ] , [ 25, 138, 48, 109 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ] , [ 153, 40, 56, 33 ] | |||
156B18 | 252 | 1 | 126 | 8 | 0 | [ 1, 132, 27, 133 ] , [ 13, 148, 148, 17 ] , [ 25, 138, 48, 109 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 93, 88, 152, 117 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ] | |||
^ | Level 160 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/160Z) Matrix Generators |
160A18 | 240 | 1 | 30 | 0 | 0 | [ 1, 80, 80, 1 ] , [ 6, 135, 65, 76 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 33, 0, 32, 97 ] , [ 41, 120, 40, 121 ] , [ 61, 60, 20, 101 ] , [ 81, 80, 80, 81 ] , [ 97, 32, 64, 97 ] , [ 106, 95, 145, 136 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] , [ 129, 128, 96, 1 ] | |||
^ | Level 168 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/168Z) Matrix Generators |
168A18 | 224 | 2 | 112 | 0 | 2 | [ 1, 84, 84, 1 ] , [ 1, 112, 0, 1 ] , [ 23, 75, 66, 113 ] , [ 49, 96, 144, 49 ] , [ 71, 147, 126, 29 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 106, 105, 105, 85 ] , [ 113, 0, 0, 113 ] , [ 127, 0, 0, 127 ] , [ 145, 120, 72, 121 ] | |||
168B18 | 224 | 2 | 112 | 0 | 2 | [ 1, 84, 84, 1 ] , [ 1, 112, 0, 1 ] , [ 49, 96, 144, 49 ] , [ 71, 147, 42, 113 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 106, 105, 105, 85 ] , [ 113, 0, 0, 113 ] , [ 121, 96, 108, 1 ] , [ 127, 0, 0, 127 ] , [ 145, 120, 72, 121 ] | |||
168C18 | 224 | 2 | 112 | 0 | 2 | [ 1, 84, 84, 1 ] , [ 1, 112, 0, 1 ] , [ 49, 96, 144, 49 ] , [ 71, 147, 42, 113 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 106, 105, 105, 85 ] , [ 113, 0, 0, 113 ] , [ 121, 96, 24, 1 ] , [ 127, 0, 0, 127 ] , [ 145, 120, 72, 121 ] | |||
168D18 | 224 | 2 | 112 | 0 | 2 | [ 1, 84, 84, 1 ] , [ 1, 112, 0, 1 ] , [ 49, 96, 144, 49 ] , [ 71, 147, 126, 29 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 48, 120, 49 ] , [ 106, 105, 105, 85 ] , [ 113, 0, 0, 113 ] , [ 121, 96, 24, 1 ] , [ 127, 0, 0, 127 ] , [ 145, 120, 72, 121 ] | |||
168E18 | 252 | 2 | 21 | 12 | 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, 98, 35, 85 ] | |||
168F18 | 252 | 2 | 63 | 12 | 0 | [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 72, 144, 97 ] , [ 145, 120, 72, 121 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ] | |||
^ | Level 180 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/180Z) Matrix Generators |
180A18 | 240 | 1 | 80 | 0 | 6 | [ 1, 140, 120, 61 ] , [ 37, 162, 171, 19 ] , [ 61, 0, 0, 121 ] , [ 61, 45, 45, 166 ] , [ 73, 0, 36, 37 ] , [ 73, 72, 0, 37 ] , [ 73, 108, 144, 1 ] , [ 91, 72, 36, 163 ] , [ 109, 0, 0, 109 ] , [ 121, 60, 0, 61 ] , [ 161, 40, 60, 101 ] | |||
180B18 | 240 | 2 | 40 | 0 | 6 | [ 1, 90, 90, 1 ] , [ 37, 144, 0, 73 ] , [ 61, 85, 105, 46 ] , [ 91, 0, 90, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 108, 36, 1 ] , [ 121, 0, 0, 61 ] , [ 121, 20, 60, 1 ] , [ 121, 60, 0, 61 ] , [ 125, 36, 174, 161 ] , [ 145, 64, 36, 109 ] | |||
180C18 | 240 | 2 | 80 | 0 | 3 | [ 43, 108, 84, 31 ] , [ 53, 148, 24, 101 ] , [ 61, 0, 0, 121 ] , [ 61, 45, 45, 166 ] , [ 73, 0, 36, 37 ] , [ 73, 68, 84, 61 ] , [ 73, 72, 0, 37 ] , [ 109, 0, 0, 109 ] , [ 109, 90, 135, 19 ] , [ 121, 60, 0, 61 ] , [ 121, 100, 0, 61 ] | |||
^ | Level 189 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/189Z) Matrix Generators |
189A18 | 252 | 2 | 84 | 0 | 0 | [ 1, 27, 135, 55 ] , [ 1, 56, 0, 1 ] , [ 1, 63, 0, 1 ] , [ 43, 84, 63, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 81, 1 ] , [ 64, 126, 0, 127 ] , [ 127, 84, 0, 64 ] , [ 134, 63, 0, 134 ] , [ 136, 54, 108, 136 ] , [ 163, 27, 54, 82 ] | |||
^ | Level 192 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/192Z) Matrix Generators |
192A18 | 288 | 1 | 24 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 0, 144, 1 ] , [ 1, 128, 128, 65 ] , [ 49, 0, 144, 145 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 97, 0, 144, 97 ] , [ 121, 96, 168, 73 ] , [ 129, 128, 64, 129 ] , [ 145, 0, 168, 49 ] , [ 181, 112, 43, 173 ] , [ 181, 144, 180, 157 ] , [ 191, 0, 0, 191 ] | |||
192B18 | 288 | 1 | 72 | 0 | 0 | [ 1, 0, 12, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 0, 144, 1 ] , [ 49, 0, 144, 145 ] , [ 65, 0, 0, 65 ] , [ 65, 0, 6, 65 ] , [ 97, 0, 144, 97 ] , [ 117, 176, 148, 93 ] , [ 121, 96, 168, 73 ] , [ 145, 0, 168, 49 ] , [ 181, 112, 43, 173 ] , [ 181, 144, 180, 157 ] , [ 181, 176, 20, 29 ] , [ 191, 0, 0, 191 ] | |||
^ | Level 198 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/198Z) Matrix Generators |
198A18 | 216 | 1 | 108 | 0 | 0 | [ 1, 99, 99, 100 ] , [ 45, 110, 22, 45 ] , [ 67, 0, 0, 133 ] , [ 67, 132, 132, 133 ] , [ 73, 72, 162, 73 ] , [ 89, 110, 143, 1 ] , [ 145, 162, 180, 55 ] , [ 155, 132, 132, 23 ] , [ 197, 0, 0, 197 ] | |||
198B18 | 216 | 1 | 108 | 0 | 0 | [ 1, 99, 99, 100 ] , [ 45, 110, 22, 45 ] , [ 67, 0, 0, 133 ] , [ 67, 132, 132, 133 ] , [ 73, 72, 162, 73 ] , [ 89, 110, 44, 1 ] , [ 145, 162, 180, 55 ] , [ 155, 132, 132, 23 ] , [ 197, 0, 0, 197 ] | |||
198C18 | 216 | 1 | 216 | 0 | 0 | [ 1, 132, 66, 1 ] , [ 23, 99, 165, 56 ] , [ 55, 144, 54, 73 ] , [ 67, 165, 165, 34 ] , [ 91, 108, 180, 181 ] , [ 100, 55, 121, 23 ] , [ 133, 66, 66, 67 ] , [ 163, 108, 54, 37 ] , [ 177, 88, 77, 111 ] | |||
198D18 | 216 | 2 | 108 | 0 | 0 | [ 1, 99, 99, 100 ] , [ 45, 110, 121, 45 ] , [ 67, 0, 0, 133 ] , [ 67, 132, 132, 133 ] , [ 73, 72, 162, 73 ] , [ 89, 88, 22, 133 ] , [ 145, 162, 180, 55 ] , [ 155, 132, 132, 23 ] , [ 197, 0, 0, 197 ] | |||
198E18 | 264 | 2 | 44 | 0 | 12 | [ 1, 66, 0, 1 ] , [ 1, 99, 99, 100 ] , [ 23, 44, 66, 23 ] , [ 67, 44, 66, 67 ] , [ 94, 95, 93, 193 ] , [ 116, 141, 189, 71 ] , [ 133, 0, 0, 67 ] , [ 175, 44, 66, 175 ] | |||
^ | Level 207 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/207Z) Matrix Generators |
207A18 | 216 | 1 | 216 | 0 | 0 | [ 1, 46, 184, 185 ] , [ 1, 138, 69, 1 ] , [ 47, 69, 0, 185 ] , [ 55, 135, 189, 1 ] , [ 73, 81, 189, 136 ] , [ 116, 46, 115, 1 ] , [ 139, 69, 0, 70 ] , [ 206, 0, 0, 206 ] | |||
^ | Level 210 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/210Z) Matrix Generators |
210A18 | 210 | 2 | 35 | 0 | 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, 60, 61 ] , [ 190, 147, 147, 169 ] | |||
210B18 | 240 | 2 | 40 | 0 | 6 | [ 1, 105, 105, 106 ] , [ 1, 168, 126, 169 ] , [ 43, 0, 168, 127 ] , [ 43, 126, 112, 1 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 141, 70, 140, 141 ] , [ 141, 140, 70, 141 ] , [ 151, 0, 170, 121 ] , [ 161, 120, 90, 191 ] , [ 167, 154, 168, 209 ] , [ 169, 0, 0, 169 ] | |||
210C18 | 240 | 2 | 40 | 0 | 6 | [ 1, 105, 105, 106 ] , [ 31, 180, 30, 181 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 91, 60, 40, 181 ] , [ 127, 126, 0, 43 ] , [ 127, 168, 56, 127 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ] | |||
210D18 | 240 | 2 | 80 | 0 | 6 | [ 1, 70, 70, 71 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 91, 60, 180, 181 ] , [ 115, 96, 44, 139 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ] , [ 185, 201, 9, 104 ] | |||
210E18 | 240 | 2 | 80 | 0 | 6 | [ 1, 70, 70, 71 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 115, 96, 114, 139 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 161, 165, 75, 146 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ] , [ 181, 150, 170, 91 ] | |||
210F18 | 252 | 2 | 42 | 12 | 0 | [ 1, 150, 60, 181 ] , [ 7, 150, 114, 193 ] , [ 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 ] , [ 187, 90, 159, 163 ] | |||
210G18 | 252 | 2 | 126 | 12 | 0 | [ 1, 150, 60, 181 ] , [ 31, 180, 150, 31 ] , [ 51, 50, 100, 201 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 167, 130, 94, 43 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 180, 1 ] , [ 187, 90, 159, 163 ] | |||
^ | Level 213 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/213Z) Matrix Generators |
213A18 | 216 | 1 | 72 | 0 | 0 | [ 70, 0, 0, 70 ] , [ 72, 71, 142, 72 ] , [ 143, 0, 0, 143 ] , [ 143, 142, 142, 1 ] , [ 154, 177, 9, 121 ] , [ 160, 189, 6, 67 ] , [ 166, 132, 60, 49 ] | |||
^ | Level 214 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/214Z) Matrix Generators |
214A18 | 216 | 1 | 108 | 0 | 0 | [ 85, 100, 158, 201 ] , [ 101, 76, 150, 115 ] , [ 108, 107, 107, 1 ] , [ 133, 76, 180, 127 ] | |||
^ | Level 217 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/217Z) Matrix Generators |
217A18 | 224 | 2 | 224 | 0 | 2 | [ 29, 56, 203, 190 ] , [ 32, 31, 0, 156 ] , [ 63, 31, 93, 63 ] , [ 125, 0, 0, 125 ] , [ 125, 62, 93, 1 ] , [ 156, 124, 62, 187 ] , [ 176, 147, 147, 71 ] , [ 197, 49, 49, 162 ] , [ 216, 0, 0, 216 ] | |||
^ | Level 222 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/222Z) Matrix Generators |
222A18 | 228 | 1 | 114 | 4 | 0 | [ 37, 168, 24, 187 ] , [ 43, 114, 81, 127 ] , [ 91, 156, 216, 19 ] , [ 112, 111, 111, 1 ] , [ 115, 60, 66, 19 ] , [ 117, 188, 118, 201 ] , [ 149, 0, 0, 149 ] , [ 191, 188, 44, 127 ] , [ 205, 66, 6, 55 ] | |||
^ | Level 223 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/223Z) Matrix Generators |
223A18 | Γ0(223) | 224 | 1 | 224 | 0 | 2 | [ 73, 22, 116, 148 ] , [ 143, 122, 65, 4 ] , [ 222, 0, 0, 222 ] | ||
^ | Level 225 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/225Z) Matrix Generators |
225A18 | 270 | 1 | 270 | 10 | 0 | [ 76, 0, 0, 151 ] , [ 76, 150, 150, 151 ] , [ 101, 0, 0, 176 ] , [ 116, 52, 94, 79 ] , [ 119, 15, 105, 104 ] , [ 126, 125, 100, 126 ] , [ 136, 180, 180, 91 ] , [ 163, 126, 81, 64 ] , [ 176, 100, 100, 76 ] , [ 181, 180, 0, 46 ] | |||
^ | Level 229 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/229Z) Matrix Generators |
229A18 | Γ0(229) | 230 | 1 | 230 | 2 | 2 | [ 41, 187, 160, 188 ] , [ 103, 38, 226, 199 ] , [ 161, 66, 84, 70 ] , [ 228, 0, 0, 228 ] | ||
^ | Level 234 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/234Z) Matrix Generators |
234A18 | 252 | 1 | 126 | 12 | 0 | [ 10, 171, 99, 172 ] , [ 53, 0, 0, 53 ] , [ 53, 130, 130, 1 ] , [ 79, 0, 156, 157 ] , [ 118, 117, 117, 1 ] , [ 127, 126, 108, 109 ] , [ 157, 78, 0, 79 ] , [ 181, 0, 0, 181 ] , [ 183, 130, 65, 105 ] , [ 193, 54, 96, 79 ] | |||
^ | Level 250 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/250Z) Matrix Generators |
250A18 | 300 | 1 | 150 | 4 | 0 | [ 1, 125, 125, 126 ] , [ 23, 124, 184, 79 ] , [ 51, 0, 200, 201 ] , [ 51, 100, 100, 201 ] , [ 99, 160, 140, 249 ] , [ 111, 120, 170, 141 ] , [ 135, 16, 39, 125 ] , [ 161, 0, 90, 191 ] | |||
250B18 | 300 | 1 | 150 | 4 | 0 | [ 11, 170, 220, 241 ] , [ 21, 0, 80, 131 ] , [ 51, 100, 100, 201 ] , [ 101, 0, 150, 151 ] , [ 126, 125, 125, 1 ] , [ 203, 84, 94, 199 ] , [ 221, 196, 53, 159 ] , [ 229, 230, 140, 169 ] | |||
^ | Level 264 | Name | Index | con | len | c2 | c3 | > | SL(2,Z/264Z) Matrix Generators |
264A18 | 264 | 2 | 44 | 18 | 0 | [ 1, 132, 132, 1 ] , [ 1, 176, 176, 89 ] , [ 41, 120, 120, 113 ] , [ 89, 0, 0, 89 ] , [ 89, 108, 84, 185 ] , [ 89, 110, 143, 67 ] , [ 100, 231, 165, 67 ] , [ 133, 132, 0, 133 ] , [ 155, 0, 132, 155 ] , [ 177, 176, 88, 177 ] , [ 241, 0, 0, 241 ] | |||
264B18 | 264 | 2 | 44 | 18 | 0 | [ 1, 132, 132, 1 ] , [ 1, 176, 176, 89 ] , [ 41, 120, 120, 113 ] , [ 45, 154, 143, 243 ] , [ 89, 0, 0, 89 ] , [ 100, 231, 165, 67 ] , [ 133, 132, 0, 133 ] , [ 155, 0, 132, 155 ] , [ 177, 176, 88, 177 ] , [ 177, 262, 227, 75 ] , [ 241, 0, 0, 241 ] | |||
264C18 | 264 | 2 | 132 | 18 | 0 | [ 1, 44, 176, 89 ] , [ 1, 110, 143, 155 ] , [ 1, 132, 132, 1 ] , [ 1, 152, 260, 185 ] , [ 41, 120, 120, 113 ] , [ 89, 0, 0, 89 ] , [ 100, 231, 165, 67 ] , [ 133, 132, 0, 133 ] , [ 155, 0, 132, 155 ] , [ 177, 22, 143, 243 ] , [ 241, 0, 0, 241 ] | |||
264D18 | 264 | 2 | 132 | 18 | 0 | [ 1, 44, 176, 89 ] , [ 1, 132, 132, 1 ] , [ 1, 152, 260, 185 ] , [ 41, 120, 120, 113 ] , [ 89, 0, 0, 89 ] , [ 100, 231, 165, 67 ] , [ 133, 132, 0, 133 ] , [ 155, 0, 132, 155 ] , [ 177, 22, 143, 243 ] , [ 177, 176, 88, 177 ] , [ 241, 0, 0, 241 ] |