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: | $4, 5, 8, 9$ |
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.
8.10-2.0.5-5-10-10.12.1
| (1,3,5,2,4) (6,8,10,7,9) | |
| (1,4,2,5,3) (6,9,7,10,8) | |
| (1,9,2,10,3,6,4,7,5,8) | |
| (1,8,5,7,4,6,3,10,2,9) |