Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times S_3$ |
| Group identifier: | $[18,3]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 8, 9$ |
The full automorphism group for this family is $\SOPlus(4,2)$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{2}$ |
| Corresponding character(s): | $8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-3.0.3-6-6.1.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) | |
| (1,13,7,10,4,16) (2,15,8,12,5,18) (3,14,9,11,6,17) | |
| (1,18,4,12,7,15) (2,17,5,11,8,14) (3,16,6,10,9,13) |