Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_4$ |
| Group identifier: | $[24,10]$ |
| Signature: | $[ 0; 6, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $11, 13, 15$ |
The full automorphism group for this family is $C_3\times D_8$ with signature $[ 0; 2, 6, 24 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 6, 9, 10, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.24-10.0.6-6-12.2.1
| (1,11,3,7,5,9) (2,12,4,8,6,10) (13,23,15,19,17,21) (14,24,16,20,18,22) | |
| (1,17,3,13,5,15) (2,18,4,14,6,16) (7,24,9,20,11,22) (8,23,10,19,12,21) | |
| (1,23,4,20,5,21,2,24,3,19,6,22) (7,18,10,13,11,16,8,17,9,14,12,15) |