Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $8, 10, 12$ |
The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E$ |
| Corresponding character(s): | $5, 6, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.12-5.0.6-6-6.2.1
| (1,6,2,4,3,5) (7,12,8,10,9,11) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) |