Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2\times C_4$ |
| Group identifier: | $[16,10]$ |
| Signature: | $[ 0; 2, 2, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 7, 9, 13$ |
The full automorphism group for this family is $C_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E$ |
| Corresponding character(s): | $6, 7, 8, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.16-10.0.2-2-4-4.25.1
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,9,2,10) (3,11,4,12) (5,13,6,14) (7,15,8,16) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) |