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: | $5, 8, 9, 9$ |
The full automorphism group for this family is $C_4:D_8$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{2}\times E\times A_{2}\times A_{2}\times E$ |
Corresponding character(s): | $5, 6, 7, 8, 10, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.16-2.0.4-4-4-4.15.1
(1,5,2,6) (3,7,4,8) (9,13,10,14) (11,15,12,16) | |
(1,8,2,7) (3,6,4,5) (9,16,10,15) (11,14,12,13) | |
(1,9,3,11) (2,10,4,12) (5,13,7,15) (6,14,8,16) | |
(1,9,3,11) (2,10,4,12) (5,13,7,15) (6,14,8,16) |