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: | $8, 11, 15$ |
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.
5.16-5.0.4-8-8.7.1
| (1,8,2,7) (3,5,4,6) (9,16,10,15) (11,13,12,14) | |
| (1,10,3,12,2,9,4,11) (5,14,7,16,6,13,8,15) | |
| (1,14,3,16,2,13,4,15) (5,10,7,12,6,9,8,11) |