Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_8$ |
| Group identifier: | $[8,1]$ |
| Signature: | $[ 0; 2, 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 6, 7$ |
The full automorphism group for this family is $D_8$ with signature $[ 0; 2, 2, 2, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.8-1.0.2-2-8-8.2.1
| (1,2) (3,4) (5,6) (7,8) | |
| (1,2) (3,4) (5,6) (7,8) | |
| (1,7,4,5,2,8,3,6) | |
| (1,6,3,8,2,5,4,7) |