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: | $6, 8, 9, 11$ |
The full automorphism group for this family is $D_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E\times A_{2}\times E\times E$ |
| Corresponding character(s): | $2, 5, 6, 7, 8, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.16-2.0.4-4-4-4.31.1
| (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) | |
| (1,9,3,11) (2,10,4,12) (5,13,7,15) (6,14,8,16) | |
| (1,10,3,12) (2,9,4,11) (5,14,7,16) (6,13,8,15) |