Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_8.C_4$ |
| Group identifier: | $[32,15]$ |
| Signature: | $[ 0; 8, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $7, 12, 13$ |
The full automorphism group for this family is $C_4.D_8$ with signature $[ 0; 2, 8, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $5, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.32-15.0.8-8-8.2.1
| (1,9,5,13,2,10,6,14) (3,11,7,15,4,12,8,16) (17,25,21,29,18,26,22,30) (19,27,23,31,20,28,24,32) | |
| (1,19,4,17,2,20,3,18) (5,24,8,22,6,23,7,21) (9,31,12,29,10,32,11,30) (13,27,16,25,14,28,15,26) | |
| (1,29,4,32,2,30,3,31) (5,25,8,28,6,26,7,27) (9,22,12,23,10,21,11,24) (13,18,16,19,14,17,15,20) |