Family Information
Genus: | $9$ |
Quotient genus: | $0$ |
Group name: | $C_4^2$ |
Group identifier: | $[16,2]$ |
Signature: | $[ 0; 4, 4, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $6, 6, 9, 12$ |
The full automorphism group for this family is $C_4:D_8$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{2}\times E\times E$ |
Corresponding character(s): | $2, 6, 7, 8, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.16-2.0.4-4-4-4.21.1
(1,6,2,5) (3,8,4,7) (9,14,10,13) (11,16,12,15) | |
(1,6,2,5) (3,8,4,7) (9,14,10,13) (11,16,12,15) | |
(1,9,3,11) (2,10,4,12) (5,13,7,15) (6,14,8,16) | |
(1,12,3,10) (2,11,4,9) (5,16,7,14) (6,15,8,13) |