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: | $10, 21, 39$ |
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): | $8, 9, 10, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.163.1
| (1,22,43,15,36,8,29) (2,23,44,16,37,9,30) (3,24,45,17,38,10,31) (4,25,46,18,39,11,32) (5,26,47,19,40,12,33) (6,27,48,20,41,13,34) (7,28,49,21,42,14,35) | |
| (1,19,30,48,10,28,39) (2,20,31,49,11,22,40) (3,21,32,43,12,23,41) (4,15,33,44,13,24,42) (5,16,34,45,14,25,36) (6,17,35,46,8,26,37) (7,18,29,47,9,27,38) | |
| (1,18,35,45,13,23,40) (2,19,29,46,14,24,41) (3,20,30,47,8,25,42) (4,21,31,48,9,26,36) (5,15,32,49,10,27,37) (6,16,33,43,11,28,38) (7,17,34,44,12,22,39) |