Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\wr C_2$ |
| Group identifier: | $[32,11]$ |
| Signature: | $[ 0; 2, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 8, 14$ |
The full automorphism group for this family is $C_4^2:S_3$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}$ |
| Corresponding character(s): | $5, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.32-11.0.2-4-8.1.1
| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) (17,25) (18,26) (19,27) (20,28) (21,30) (22,29) (23,32) (24,31) | |
| (1,25,8,32) (2,26,7,31) (3,27,5,29) (4,28,6,30) (9,22,16,20) (10,21,15,19) (11,24,13,17) (12,23,14,18) | |
| (1,23,4,21,2,24,3,22) (5,19,8,17,6,20,7,18) (9,28,12,26,10,27,11,25) (13,31,16,29,14,32,15,30) |