Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_8$ |
| Group identifier: | $[16,5]$ |
| Signature: | $[ 0; 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 9, 16$ |
The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E$ |
| Corresponding character(s): | $4, 6$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.16-5.0.2-8-8.1.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9,3,11,2,10,4,12) (5,13,7,15,6,14,8,16) | |
| (1,16,4,14,2,15,3,13) (5,12,8,10,6,11,7,9) |