Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:C_8$ |
| Group identifier: | $[32,5]$ |
| Signature: | $[ 0; 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $5, 13, 20$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}$ |
| Corresponding character(s): | $5, 13, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-5.0.2-8-8.1.1
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
| (1,17,3,19,2,18,4,20) (5,21,7,23,6,22,8,24) (9,29,11,31,10,30,12,32) (13,25,15,27,14,26,16,28) | |
| (1,28,8,30,2,27,7,29) (3,25,5,32,4,26,6,31) (9,24,16,18,10,23,15,17) (11,21,13,20,12,22,14,19) |