Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{10}$ |
| Group identifier: | $[10,2]$ |
| Signature: | $[ 0; 5, 5, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $3, 6, 7, 10$ |
The full automorphism group for this family is $D_{10}$ with signature $[ 0; 2, 2, 5, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.10-2.0.5-5-10-10.7.1
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,5,4,3,2) (6,10,9,8,7) | |
| (1,7,3,9,5,6,2,8,4,10) | |
| (1,10,4,8,2,6,5,9,3,7) |