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: | $6, 7, 14, 16$ |
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.
9.16-2.0.4-4-4-4.30.1
| (1,6,2,5) (3,8,4,7) (9,14,10,13) (11,16,12,15) | |
| (1,7,2,8) (3,5,4,6) (9,15,10,16) (11,13,12,14) | |
| (1,16,4,13) (2,15,3,14) (5,11,8,10) (6,12,7,9) | |
| (1,15,4,14) (2,16,3,13) (5,12,8,9) (6,11,7,10) |