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: | $9, 15, 25$ |
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.
6.25-2.0.5-5-5.62.1
| (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) | |
| (1,15,24,8,17) (2,11,25,9,18) (3,12,21,10,19) (4,13,22,6,20) (5,14,23,7,16) | |
| (1,22,18,14,10) (2,23,19,15,6) (3,24,20,11,7) (4,25,16,12,8) (5,21,17,13,9) |