Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_7^2$ |
| Group identifier: | $[49,2]$ |
| Signature: | $[ 0; 7, 7, 7 ]$ |
| Conjugacy classes for this refined passport: | $15, 31, 49$ |
The full automorphism group for this family is $C_7^2:S_3$ with signature $[ 0; 2, 3, 14 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times A_{3}\times A_{3}\times A_{3}$ |
| Corresponding character(s): | $2, 8, 11, 12, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.233.1
| (1,17,33,49,9,25,41) (2,18,34,43,10,26,42) (3,19,35,44,11,27,36) (4,20,29,45,12,28,37) (5,21,30,46,13,22,38) (6,15,31,47,14,23,39) (7,16,32,48,8,24,40) | |
| (1,47,37,34,24,21,11) (2,48,38,35,25,15,12) (3,49,39,29,26,16,13) (4,43,40,30,27,17,14) (5,44,41,31,28,18,8) (6,45,42,32,22,19,9) (7,46,36,33,23,20,10) | |
| (1,44,38,32,26,20,14) (2,45,39,33,27,21,8) (3,46,40,34,28,15,9) (4,47,41,35,22,16,10) (5,48,42,29,23,17,11) (6,49,36,30,24,18,12) (7,43,37,31,25,19,13) |