Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{12}$ |
| Group identifier: | $[24,9]$ |
| Signature: | $[ 0; 2, 2, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 22, 23$ |
The full automorphism group for this family is $C_2\times D_{12}$ with signature $[ 0; 2, 2, 2, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{4}\times A_{2}$ |
| Corresponding character(s): | $2, 4, 10, 12, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.24-9.0.2-2-12-12.20.1
| (1,8) (2,7) (3,10) (4,9) (5,12) (6,11) (13,20) (14,19) (15,22) (16,21) (17,24) (18,23) | |
| (1,8) (2,7) (3,10) (4,9) (5,12) (6,11) (13,20) (14,19) (15,22) (16,21) (17,24) (18,23) | |
| (1,23,4,20,5,21,2,24,3,19,6,22) (7,17,10,14,11,15,8,18,9,13,12,16) | |
| (1,22,6,19,3,24,2,21,5,20,4,23) (7,16,12,13,9,18,8,15,11,14,10,17) |