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: | $9, 16, 17$ |
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.
5.32-2.0.4-4-4.4.1
| (1,9,2,10) (3,11,4,12) (5,13,6,14) (7,15,8,16) (17,25,18,26) (19,27,20,28) (21,29,22,30) (23,31,24,32) | |
| (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) | |
| (1,25,8,32) (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) |