Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_4$ |
Group identifier: | $[8,2]$ |
Signature: | $[ 0; 4, 4, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $5, 5, 8, 8$ |
The full automorphism group for this family is $C_2^2\wr C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times E$ |
Corresponding character(s): | $3, 4, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.8-2.0.4-4-4-4.2.1
(1,5,2,6) (3,7,4,8) | |
(1,5,2,6) (3,7,4,8) | |
(1,8,2,7) (3,6,4,5) | |
(1,8,2,7) (3,6,4,5) |