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: | $3, 11, 16$ |
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.
6.25-2.0.5-5-5.16.1
| (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) | |
| (1,13,25,7,19) (2,14,21,8,20) (3,15,22,9,16) (4,11,23,10,17) (5,12,24,6,18) | |
| (1,17,8,24,15) (2,18,9,25,11) (3,19,10,21,12) (4,20,6,22,13) (5,16,7,23,14) |