Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4^2$ |
| Group identifier: | $[16,2]$ |
| Signature: | $[ 0; 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $6, 8, 15, 15$ |
The full automorphism group for this family is $C_4:D_8$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E\times A_{2}\times A_{2}\times E$ |
| Corresponding character(s): | $5, 6, 7, 8, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.16-2.0.4-4-4-4.35.1
| (1,6,2,5) (3,8,4,7) (9,14,10,13) (11,16,12,15) | |
| (1,8,2,7) (3,6,4,5) (9,16,10,15) (11,14,12,13) | |
| (1,14,4,15) (2,13,3,16) (5,9,8,12) (6,10,7,11) | |
| (1,14,4,15) (2,13,3,16) (5,9,8,12) (6,10,7,11) |