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: | $6, 15, 19$ |
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.
6.25-2.0.5-5-5.44.1
| (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) | |
| (1,15,24,8,17) (2,11,25,9,18) (3,12,21,10,19) (4,13,22,6,20) (5,14,23,7,16) | |
| (1,12,23,9,20) (2,13,24,10,16) (3,14,25,6,17) (4,15,21,7,18) (5,11,22,8,19) |