Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_8$ |
| Group identifier: | $[16,5]$ |
| Signature: | $[ 0; 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 15$ |
The full automorphism group for this family is $C_2^2.D_8$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times E$ |
| Corresponding character(s): | $3, 4, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.16-5.0.4-8-8.1.1
| (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) | |
| (1,9,3,11,2,10,4,12) (5,13,7,15,6,14,8,16) | |
| (1,14,3,16,2,13,4,15) (5,10,7,12,6,9,8,11) |