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: | $6, 7, 8$ |
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.
8.24-1.0.6-8-8.1.1
| (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) | |
| (1,13,7,19,4,16,10,22) (2,15,8,21,5,18,11,24) (3,14,9,20,6,17,12,23) | |
| (1,21,10,15,4,24,7,18) (2,20,11,14,5,23,8,17) (3,19,12,13,6,22,9,16) |