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: | $10, 14, 17$ |
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.
5.32-2.0.4-4-4.6.1
| (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) | |
| (1,19,3,17) (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) | |
| (1,25,8,32) (2,26,7,31) (3,27,6,30) (4,28,5,29) (9,22,16,19) (10,21,15,20) (11,24,14,17) (12,23,13,18) |