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: | $5, 9, 10$ |
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.
6.25-2.0.5-5-5.34.1
| (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) | |
| (1,21,16,11,6) (2,22,17,12,7) (3,23,18,13,8) (4,24,19,14,9) (5,25,20,15,10) | |
| (1,7,13,19,25) (2,8,14,20,21) (3,9,15,16,22) (4,10,11,17,23) (5,6,12,18,24) |