Family Information
| Genus: | $2$ |
| Quotient genus: | $0$ |
| Group name: | $Q_8$ |
| Group identifier: | $[8,4]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5$ |
The full automorphism group for this family is $\GL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
2.8-4.0.4-4-4.1.1
| (1,3,2,4) (5,7,6,8) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,7,2,8) (3,5,4,6) |