Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_8$ |
| Group identifier: | $[24,1]$ |
| Signature: | $[ 0; 6, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $6, 9, 10$ |
The full automorphism group for this family is $Q_8:S_3$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 9, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.24-1.0.6-8-8.2.1
| (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) | |
| (1,16,7,22,4,13,10,19) (2,18,8,24,5,15,11,21) (3,17,9,23,6,14,12,20) | |
| (1,24,10,18,4,21,7,15) (2,23,11,17,5,20,8,14) (3,22,12,16,6,19,9,13) |