Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_6:C_4$ |
| Group identifier: | $[24,7]$ |
| Signature: | $[ 0; 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $7, 8, 11$ |
The full automorphism group for this family is $D_6:C_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $7, 9, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.24-7.0.4-4-6.3.1
| (1,16,4,13) (2,18,5,15) (3,17,6,14) (7,22,10,19) (8,24,11,21) (9,23,12,20) | |
| (1,21,4,24) (2,20,5,23) (3,19,6,22) (7,15,10,18) (8,14,11,17) (9,13,12,16) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) (13,20,15,19,14,21) (16,23,18,22,17,24) |