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: | $6, 16, 19$ |
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.
5.32-5.0.2-8-8.8.1
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) | |
| (1,20,4,18,2,19,3,17) (5,24,8,22,6,23,7,21) (9,32,12,30,10,31,11,29) (13,28,16,26,14,27,15,25) | |
| (1,26,7,32,2,25,8,31) (3,28,6,29,4,27,5,30) (9,22,15,20,10,21,16,19) (11,24,14,17,12,23,13,18) |