Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_3\times D_4$ |
Group identifier: | $[24,10]$ |
Signature: | $[ 0; 6, 6, 12 ]$ |
Conjugacy classes for this refined passport: | $10, 12, 14$ |
The full automorphism group for this family is $C_3\times D_8$ with signature $[ 0; 2, 6, 24 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}^{2}$ |
Corresponding character(s): | $5, 6, 9, 10, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.24-10.0.6-6-12.1.1
(1,9,5,7,3,11) (2,10,6,8,4,12) (13,21,17,19,15,23) (14,22,18,20,16,24) | |
(1,15,5,13,3,17) (2,16,6,14,4,18) (7,22,11,20,9,24) (8,21,12,19,10,23) | |
(1,21,6,20,3,23,2,22,5,19,4,24) (7,16,12,13,9,18,8,15,11,14,10,17) |