Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_6$ |
Group identifier: | $[12,5]$ |
Signature: | $[ 0; 2, 2, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $2, 3, 8, 9$ |
The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 2, 2, 6 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}$ |
Corresponding character(s): | $4, 6, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.12-5.0.2-2-6-6.4.1
(1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) | |
(1,8,3,7,2,9) (4,11,6,10,5,12) |