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: | $11, 13, 19$ |
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.
5.32-2.0.4-4-4.9.1
| (1,11,2,12) (3,9,4,10) (5,15,6,16) (7,13,8,14) (17,27,18,28) (19,25,20,26) (21,31,22,32) (23,29,24,30) | |
| (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) | |
| (1,26,8,31) (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) |