Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $S_4$ |
| Group identifier: | $[24,12]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 5$ |
The full automorphism group for this family is $C_2\times S_4$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.24-12.0.3-4-4.1.1
| (1,5,9) (2,8,11) (3,6,12) (4,7,10) (13,17,21) (14,20,23) (15,18,24) (16,19,22) | |
| (1,14,4,15) (2,16,3,13) (5,22,8,23) (6,24,7,21) (9,18,12,19) (10,20,11,17) | |
| (1,24,3,22) (2,21,4,23) (5,20,7,18) (6,17,8,19) (9,16,11,14) (10,13,12,15) |