Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{16}$ |
| Group identifier: | $[16,6]$ |
| Signature: | $[ 0; 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $6, 8, 10$ |
The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.16-6.0.4-8-8.2.1
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) | |
| (1,11,4,9,2,12,3,10) (5,16,8,14,6,15,7,13) | |
| (1,15,3,14,2,16,4,13) (5,12,7,9,6,11,8,10) |