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: | $11, 14, 18$ |
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.
5.32-2.0.4-4-4.10.1
| (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) | |
| (1,19,3,17) (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) | |
| (1,28,8,29) (2,27,7,30) (3,26,6,31) (4,25,5,32) (9,23,16,18) (10,24,15,17) (11,21,14,20) (12,22,13,19) |