Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_{10}$ |
| Group identifier: | $[10,2]$ |
| Signature: | $[ 0; 5, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $3, 7, 8$ |
The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.10-2.0.5-10-10.1.1
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,7,3,9,5,6,2,8,4,10) | |
| (1,9,2,10,3,6,4,7,5,8) |