Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $S_3^2$ |
| Group identifier: | $[36,10]$ |
| Signature: | $[ 0; 2, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 8, 9$ |
The full automorphism group for this family is $\SOPlus(4,2)$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E^{4}$ |
| Corresponding character(s): | $9$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.36-10.0.2-6-6.1.1
| (1,28) (2,30) (3,29) (4,34) (5,36) (6,35) (7,31) (8,33) (9,32) (10,19) (11,21) (12,20) (13,25) (14,27) (15,26) (16,22) (17,24) (18,23) | |
| (1,17,3,16,2,18) (4,14,6,13,5,15) (7,11,9,10,8,12) (19,35,21,34,20,36) (22,32,24,31,23,33) (25,29,27,28,26,30) | |
| (1,23,7,20,4,26) (2,22,8,19,5,25) (3,24,9,21,6,27) (10,32,16,29,13,35) (11,31,17,28,14,34) (12,33,18,30,15,36) |