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: | $6, 7, 9$ |
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.
5.16-6.0.4-8-8.1.1
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) | |
| (1,9,3,11,2,10,4,12) (5,14,7,16,6,13,8,15) | |
| (1,14,4,15,2,13,3,16) (5,9,8,12,6,10,7,11) |