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: | $6, 11, 14$ |
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.
8.24-11.0.4-12-12.4.1
| (1,13,2,14) (3,15,4,16) (5,17,6,18) (7,20,8,19) (9,22,10,21) (11,24,12,23) | |
| (1,11,4,8,5,9,2,12,3,7,6,10) (13,23,16,20,17,21,14,24,15,19,18,22) | |
| (1,22,6,19,3,24,2,21,5,20,4,23) (7,16,12,13,9,18,8,15,11,14,10,17) |