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: | $6, 7, 9$ |
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.
3.16-4.0.4-4-4.3.1
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) |