Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $C_3\times Q_8$ |
Group identifier: | $[24,11]$ |
Signature: | $[ 0; 12, 12, 12 ]$ |
Conjugacy classes for this refined passport: | $10, 12, 14$ |
The full automorphism group for this family is $C_3\times \GL(2,3)$ with signature $[ 0; 2, 3, 24 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}\times A_{2}^{2}$ |
Corresponding character(s): | $5, 6, 7, 9, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.24-11.0.12-12-12.1.1
(1,9,6,8,3,11,2,10,5,7,4,12) (13,21,18,20,15,23,14,22,17,19,16,24) | |
(1,15,6,14,3,17,2,16,5,13,4,18) (7,22,12,19,9,24,8,21,11,20,10,23) | |
(1,21,6,20,3,23,2,22,5,19,4,24) (7,15,12,14,9,17,8,16,11,13,10,18) |