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: | $5, 12, 15$ |
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.
8.24-11.0.4-12-12.1.1
| (1,7,2,8) (3,9,4,10) (5,11,6,12) (13,19,14,20) (15,21,16,22) (17,23,18,24) | |
| (1,15,6,14,3,17,2,16,5,13,4,18) (7,22,12,19,9,24,8,21,11,20,10,23) | |
| (1,23,4,20,5,21,2,24,3,19,6,22) (7,17,10,14,11,15,8,18,9,13,12,16) |