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: | $5, 13, 14$ |
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.
6.25-2.0.5-5-5.37.1
| (1,5,4,3,2) (6,10,9,8,7) (11,15,14,13,12) (16,20,19,18,17) (21,25,24,23,22) | |
| (1,25,19,13,7) (2,21,20,14,8) (3,22,16,15,9) (4,23,17,11,10) (5,24,18,12,6) | |
| (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) |