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: | $8, 14, 18$ |
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.
4.18-5.0.3-6-6.18.1
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,16,4,10,7,13) (2,17,5,11,8,14) (3,18,6,12,9,15) | |
| (1,17,6,10,8,15) (2,18,4,11,9,13) (3,16,5,12,7,14) |