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: | $5, 6, 15, 16$ |
The full automorphism group for this family is $D_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}\times A_{2}\times E$ |
| Corresponding character(s): | $6, 7, 8, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.16-2.0.4-4-4-4.8.1
| (1,5,2,6) (3,7,4,8) (9,13,10,14) (11,15,12,16) | |
| (1,6,2,5) (3,8,4,7) (9,14,10,13) (11,16,12,15) | |
| (1,14,4,15) (2,13,3,16) (5,9,8,12) (6,10,7,11) | |
| (1,15,4,14) (2,16,3,13) (5,12,8,9) (6,11,7,10) |