Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_4$ |
| Group identifier: | $[24,10]$ |
| Signature: | $[ 0; 2, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $4, 10, 15$ |
The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E^{2}$ |
| Corresponding character(s): | $5, 10, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.24-10.0.2-6-12.3.1
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) | |
| (1,9,5,7,3,11) (2,10,6,8,4,12) (13,21,17,19,15,23) (14,22,18,20,16,24) | |
| (1,24,4,19,5,22,2,23,3,20,6,21) (7,17,10,14,11,15,8,18,9,13,12,16) |