Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_8$ |
| Group identifier: | $[24,1]$ |
| Signature: | $[ 0; 8, 8, 12 ]$ |
| Conjugacy classes for this refined passport: | $7, 7, 12$ |
The full automorphism group for this family is $S_3\times C_8$ with signature $[ 0; 2, 8, 24 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $3, 5, 9, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.24-1.0.8-8-12.1.1
| (1,13,7,19,4,16,10,22) (2,15,8,21,5,18,11,24) (3,14,9,20,6,17,12,23) | |
| (1,15,7,21,4,18,10,24) (2,14,8,20,5,17,11,23) (3,13,9,19,6,16,12,22) | |
| (1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |