Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{12}$ |
| Group identifier: | $[12,2]$ |
| Signature: | $[ 0; 3, 3, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 9, 12$ |
The full automorphism group for this family is $D_{12}$ with signature $[ 0; 2, 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.12-2.0.3-3-12-12.2.1
| (1,3,5) (2,4,6) (7,9,11) (8,10,12) | |
| (1,5,3) (2,6,4) (7,11,9) (8,12,10) | |
| (1,9,6,8,3,11,2,10,5,7,4,12) | |
| (1,12,4,7,5,10,2,11,3,8,6,9) |