Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_8:C_4$ |
| Group identifier: | $[32,13]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 13$ |
The full automorphism group for this family is $D_8:C_4$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $5, 10, 11, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.32-13.0.4-4-8.1.1
| (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28) | |
| (1,26,4,27) (2,25,3,28) (5,29,8,32) (6,30,7,31) (9,17,12,20) (10,18,11,19) (13,22,16,23) (14,21,15,24) | |
| (1,15,6,11,2,16,5,12) (3,13,8,9,4,14,7,10) (17,31,22,27,18,32,21,28) (19,29,24,25,20,30,23,26) |