Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4:C_4$ |
| Group identifier: | $[16,4]$ |
| Signature: | $[ 0; 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 9, 9$ |
The full automorphism group for this family is $C_2^2.D_4$ with signature $[ 0; 2, 2, 4, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{4}\times E^{2}$ |
| Corresponding character(s): | $2, 5, 6, 9, 10$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
9.16-4.0.4-4-4-4.5.1
| (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16) | |
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) |
9.16-4.0.4-4-4-4.5.2
| (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16) | |
| (1,8,3,6) (2,7,4,5) (9,16,11,14) (10,15,12,13) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) |