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: | $12, 14, 20$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}$ |
| Corresponding character(s): | $9, 10, 12, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.32-2.0.4-4-4.14.1
| (1,12,2,11) (3,10,4,9) (5,16,6,15) (7,14,8,13) (17,28,18,27) (19,26,20,25) (21,32,22,31) (23,30,24,29) | |
| (1,19,3,17) (2,20,4,18) (5,23,7,21) (6,24,8,22) (9,31,11,29) (10,32,12,30) (13,27,15,25) (14,28,16,26) | |
| (1,27,8,30) (2,28,7,29) (3,25,6,32) (4,26,5,31) (9,24,16,17) (10,23,15,18) (11,22,14,19) (12,21,13,20) |