Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{16}:C_2$ |
| Group identifier: | $[32,7]$ |
| Signature: | $[ 0; 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 8, 11$ |
The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{4}$ |
| Corresponding character(s): | $5, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-7.0.2-8-8.1.1
| (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31) | |
| (1,17,3,19,2,18,4,20) (5,22,7,24,6,21,8,23) (9,29,11,31,10,30,12,32) (13,26,15,28,14,25,16,27) | |
| (1,27,7,30,2,28,8,29) (3,25,6,31,4,26,5,32) (9,23,15,18,10,24,16,17) (11,21,14,19,12,22,13,20) |