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: | $3, 13, 16$ |
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.
4.18-5.0.3-6-6.1.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) | |
| (1,13,7,10,4,16) (2,14,8,11,5,17) (3,15,9,12,6,18) | |
| (1,18,5,10,9,14) (2,16,6,11,7,15) (3,17,4,12,8,13) |