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: | $3, 8, 10, 14$ |
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.
5.16-10.0.2-2-4-4.14.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) | |
| (1,10,2,9) (3,12,4,11) (5,14,6,13) (7,16,8,15) | |
| (1,14,2,13) (3,16,4,15) (5,10,6,9) (7,12,8,11) |