Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2.C_4^2$ |
| Group identifier: | $[32,2]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $10, 16, 19$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}$ |
| Corresponding character(s): | $9, 10, 12, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-2.0.4-4-4.8.1
| (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) | |
| (1,20,3,18) (2,19,4,17) (5,24,7,22) (6,23,8,21) (9,32,11,30) (10,31,12,29) (13,28,15,26) (14,27,16,25) | |
| (1,26,8,31) (2,25,7,32) (3,28,6,29) (4,27,5,30) (9,21,16,20) (10,22,15,19) (11,23,14,18) (12,24,13,17) |