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: | $5, 16, 17$ |
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.
5.32-5.0.2-8-8.4.1
| (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) | |
| (1,20,4,18,2,19,3,17) (5,24,8,22,6,23,7,21) (9,32,12,30,10,31,11,29) (13,28,16,26,14,27,15,25) | |
| (1,25,7,31,2,26,8,32) (3,27,6,30,4,28,5,29) (9,21,15,19,10,22,16,20) (11,23,14,18,12,24,13,17) |