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: | $3, 7, 12$ |
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.
6.25-2.0.5-5-5.12.1
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) (16,18,20,17,19) (21,23,25,22,24) | |
| (1,11,21,6,16) (2,12,22,7,17) (3,13,23,8,18) (4,14,24,9,19) (5,15,25,10,20) | |
| (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) |