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: | $2, 9, 22$ |
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.
6.25-2.0.5-5-5.4.1
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) (21,22,23,24,25) | |
| (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) | |
| (1,10,14,18,22) (2,6,15,19,23) (3,7,11,20,24) (4,8,12,16,25) (5,9,13,17,21) |