Family Information
| Genus: | $3$ |
| Quotient genus: | $1$ |
| Group name: | $S_3$ |
| Group identifier: | $[6,1]$ |
| Signature: | $[ 1; 3 ]$ |
| Conjugacy classes for this refined passport: | $3$ |
The full automorphism group for this family is $D_6$ with signature $[ 0; 2, 2, 2, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}$ |
| Corresponding character(s): | $1, 3$ |
Generating vector(s)
Displaying 9 of 9 generating vectors for this refined passport.
3.6-1.1.3.1.1
| (1,4) (2,6) (3,5) | |
| (1,2,3) (4,5,6) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.2
| (1,6) (2,5) (3,4) | |
| (1,2,3) (4,5,6) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.3
| (1,5) (2,4) (3,6) | |
| (1,2,3) (4,5,6) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.4
| (1,3,2) (4,6,5) | |
| (1,4) (2,6) (3,5) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.5
| (1,6) (2,5) (3,4) | |
| (1,4) (2,6) (3,5) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.6
| (1,3,2) (4,6,5) | |
| (1,6) (2,5) (3,4) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.7
| (1,5) (2,4) (3,6) | |
| (1,6) (2,5) (3,4) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.8
| (1,4) (2,6) (3,5) | |
| (1,5) (2,4) (3,6) | |
| (1,2,3) (4,5,6) |
3.6-1.1.3.1.9
| (1,3,2) (4,6,5) | |
| (1,5) (2,4) (3,6) | |
| (1,2,3) (4,5,6) |