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: | $8, 10, 22$ |
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.
6.25-2.0.5-5-5.53.1
| (1,16,6,21,11) (2,17,7,22,12) (3,18,8,23,13) (4,19,9,24,14) (5,20,10,25,15) | |
| (1,7,13,19,25) (2,8,14,20,21) (3,9,15,16,22) (4,10,11,17,23) (5,6,12,18,24) | |
| (1,10,14,18,22) (2,6,15,19,23) (3,7,11,20,24) (4,8,12,16,25) (5,9,13,17,21) |