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: | $4, 6, 9, 16$ |
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.
5.16-10.0.2-2-4-4.21.1
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,9,2,10) (3,11,4,12) (5,13,6,14) (7,15,8,16) | |
| (1,16,2,15) (3,14,4,13) (5,12,6,11) (7,10,8,9) |