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: | $6, 11, 23$ |
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.
6.25-2.0.5-5-5.42.1
| (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) | |
| (1,13,25,7,19) (2,14,21,8,20) (3,15,22,9,16) (4,11,23,10,17) (5,12,24,6,18) | |
| (1,14,22,10,18) (2,15,23,6,19) (3,11,24,7,20) (4,12,25,8,16) (5,13,21,9,17) |