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: | $7, 7, 14, 15$ |
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.
9.16-2.0.4-4-4-4.40.1
(1,7,2,8) (3,5,4,6) (9,15,10,16) (11,13,12,14) | |
(1,7,2,8) (3,5,4,6) (9,15,10,16) (11,13,12,14) | |
(1,16,4,13) (2,15,3,14) (5,11,8,10) (6,12,7,9) | |
(1,14,4,15) (2,13,3,16) (5,9,8,12) (6,10,7,11) |