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: | $11, 16, 20$ |
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.
5.32-2.0.4-4-4.12.1
| (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) | |
| (1,20,3,18) (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) | |
| (1,27,8,30) (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) |