Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_4:C_4$ |
| Group identifier: | $[16,4]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $5, 8, 9$ |
The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}$ |
| Corresponding character(s): | $6, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.16-4.0.4-4-4.2.1
| (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16) | |
| (1,10,2,9) (3,12,4,11) (5,16,6,15) (7,14,8,13) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) |