Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_5^2$ |
| Group identifier: | $[25,2]$ |
| Signature: | $[ 0; 5, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $9, 12, 24$ |
The full automorphism group for this family is $C_5^2:S_3$ with signature $[ 0; 2, 3, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $7, 8, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.25-2.0.5-5-5.60.1
| (1,21,16,11,6) (2,22,17,12,7) (3,23,18,13,8) (4,24,19,14,9) (5,25,20,15,10) | |
| (1,19,7,25,13) (2,20,8,21,14) (3,16,9,22,15) (4,17,10,23,11) (5,18,6,24,12) | |
| (1,18,10,22,14) (2,19,6,23,15) (3,20,7,24,11) (4,16,8,25,12) (5,17,9,21,13) |