Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_3\times D_4$ |
Group identifier: | $[24,10]$ |
Signature: | $[ 0; 2, 6, 12 ]$ |
Conjugacy classes for this refined passport: | $4, 11, 14$ |
The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E^{2}$ |
Corresponding character(s): | $5, 10, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.24-10.0.2-6-12.4.1
(1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) | |
(1,11,3,7,5,9) (2,12,4,8,6,10) (13,23,15,19,17,21) (14,24,16,20,18,22) | |
(1,22,6,19,3,24,2,21,5,20,4,23) (7,15,12,14,9,17,8,16,11,13,10,18) |