Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_{10}$ |
| Group identifier: | $[10,2]$ |
| Signature: | $[ 0; 2, 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 4, 5$ |
The full automorphism group for this family is $D_{10}$ with signature $[ 0; 2, 2, 2, 5 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.10-2.0.2-2-5-5.2.1
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,3,5,2,4) (6,8,10,7,9) | |
| (1,4,2,5,3) (6,9,7,10,8) |