Family Information
Genus: | $3$ |
Quotient genus: | $0$ |
Group name: | $\OD_{16}$ |
Group identifier: | $[16,6]$ |
Signature: | $[ 0; 2, 8, 8 ]$ |
Conjugacy classes for this refined passport: | $3, 8, 9$ |
The full automorphism group for this family is $C_4^2:S_3$ with signature $[ 0; 2, 3, 8 ]$.
Jacobian variety group algebra decomposition: | $E\times E^{2}$ |
Corresponding character(s): | $5, 9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.16-6.0.2-8-8.2.1
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,11,4,9,2,12,3,10) (5,16,8,14,6,15,7,13) | |
(1,14,4,15,2,13,3,16) (5,9,8,12,6,10,7,11) |