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: | $4, 12, 15$ |
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.
3.16-5.0.2-8-8.8.1
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) | |
| (1,12,4,10,2,11,3,9) (5,16,8,14,6,15,7,13) | |
| (1,14,3,16,2,13,4,15) (5,10,7,12,6,9,8,11) |