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: | $3, 13, 14$ |
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.
4.24-10.0.2-6-12.2.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,17,3,13,5,15) (2,18,4,14,6,16) (7,24,9,20,11,22) (8,23,10,19,12,21) | |
| (1,21,6,20,3,23,2,22,5,19,4,24) (7,16,12,13,9,18,8,15,11,14,10,17) |