Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times Q_8$ |
| Group identifier: | $[24,11]$ |
| Signature: | $[ 0; 4, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $7, 11, 12$ |
The full automorphism group for this family is $Q_8:S_3$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $8, 10, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.24-11.0.4-12-12.6.1
| (1,19,2,20) (3,21,4,22) (5,23,6,24) (7,13,8,14) (9,15,10,16) (11,17,12,18) | |
| (1,11,4,8,5,9,2,12,3,7,6,10) (13,23,16,20,17,21,14,24,15,19,18,22) | |
| (1,15,6,14,3,17,2,16,5,13,4,18) (7,22,12,19,9,24,8,21,11,20,10,23) |