Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^3:C_4$ |
| Group identifier: | $[32,6]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $7, 8, 10$ |
The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{4}$ |
| Corresponding character(s): | $6, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-6.0.4-4-4.1.1
| (1,11,2,12) (3,10,4,9) (5,15,6,16) (7,14,8,13) (17,27,18,28) (19,26,20,25) (21,31,22,32) (23,30,24,29) | |
| (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,26,15,28) (14,25,16,27) | |
| (1,25,7,31) (2,26,8,32) (3,28,5,30) (4,27,6,29) (9,21,15,19) (10,22,16,20) (11,24,13,18) (12,23,14,17) |