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: | $8, 20, 25$ |
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.
6.25-2.0.5-5-5.58.1
| (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) | |
| (1,20,9,23,12) (2,16,10,24,13) (3,17,6,25,14) (4,18,7,21,15) (5,19,8,22,11) | |
| (1,22,18,14,10) (2,23,19,15,6) (3,24,20,11,7) (4,25,16,12,8) (5,21,17,13,9) |