Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2^2\times C_4$ |
Group identifier: | $[16,10]$ |
Signature: | $[ 0; 2, 2, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $3, 5, 9, 16$ |
The full automorphism group for this family is $C_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E$ |
Corresponding character(s): | $6, 7, 8, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.16-10.0.2-2-4-4.1.1
(1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
(1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
(1,9,2,10) (3,11,4,12) (5,13,6,14) (7,15,8,16) | |
(1,16,2,15) (3,14,4,13) (5,12,6,11) (7,10,8,9) |