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: | $4, 7, 10, 14$ |
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.
5.16-10.0.2-2-4-4.26.1
(1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
(1,10,2,9) (3,12,4,11) (5,14,6,13) (7,16,8,15) | |
(1,14,2,13) (3,16,4,15) (5,10,6,9) (7,12,8,11) |