Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_6$ |
| Group identifier: | $[18,5]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $6, 12, 15$ |
The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E$ |
| Corresponding character(s): | $4, 10, 11, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-5.0.3-6-6.11.1
| (1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) | |
| (1,12,2,10,3,11) (4,15,5,13,6,14) (7,18,8,16,9,17) | |
| (1,14,9,10,5,18) (2,15,7,11,6,16) (3,13,8,12,4,17) |