Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_8$ |
| Group identifier: | $[8,1]$ |
| Signature: | $[ 0; 4, 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 6, 7$ |
The full automorphism group for this family is $D_8$ with signature $[ 0; 2, 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.8-1.0.4-4-8-8.4.1
| (1,3,2,4) (5,7,6,8) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,7,4,5,2,8,3,6) | |
| (1,6,3,8,2,5,4,7) |