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: | $4, 8, 12, 15$ |
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.
5.16-10.0.2-2-4-4.32.1
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
| (1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) | |
| (1,12,2,11) (3,10,4,9) (5,16,6,15) (7,14,8,13) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) |