Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{12}$ |
| Group identifier: | $[12,2]$ |
| Signature: | $[ 0; 3, 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 6$ |
The full automorphism group for this family is $D_{12}$ with signature $[ 0; 2, 2, 3, 4 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.12-2.0.3-3-4-4.1.1
| (1,3,5) (2,4,6) (7,9,11) (8,10,12) | |
| (1,5,3) (2,6,4) (7,11,9) (8,12,10) | |
| (1,7,2,8) (3,9,4,10) (5,11,6,12) | |
| (1,8,2,7) (3,10,4,9) (5,12,6,11) |