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: | $6, 12, 14$ |
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.
6.25-2.0.5-5-5.43.1
| (1,6,11,16,21) (2,7,12,17,22) (3,8,13,18,23) (4,9,14,19,24) (5,10,15,20,25) | |
| (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) | |
| (1,8,15,17,24) (2,9,11,18,25) (3,10,12,19,21) (4,6,13,20,22) (5,7,14,16,23) |