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: | $4, 9, 13$ |
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.
3.32-11.0.2-4-8.2.1
| (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) | |
| (1,32,8,25) (2,31,7,26) (3,29,5,27) (4,30,6,28) (9,20,16,22) (10,19,15,21) (11,17,13,24) (12,18,14,23) | |
| (1,17,3,19,2,18,4,20) (5,22,7,24,6,21,8,23) (9,29,11,31,10,30,12,32) (13,25,15,27,14,26,16,28) |