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: | $7, 9, 11$ |
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.
5.32-6.0.4-4-4.2.1
| (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) | |
| (1,19,3,17) (2,20,4,18) (5,24,7,22) (6,23,8,21) (9,31,11,29) (10,32,12,30) (13,28,15,26) (14,27,16,25) | |
| (1,28,8,29) (2,27,7,30) (3,25,6,32) (4,26,5,31) (9,24,16,17) (10,23,15,18) (11,21,14,20) (12,22,13,19) |