Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times A_4$ |
| Group identifier: | $[24,13]$ |
| Signature: | $[ 0; 2, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 7, 8$ |
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): | $8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.24-13.0.2-6-6.1.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) | |
| (1,17,9,13,5,21) (2,20,11,14,8,23) (3,18,12,15,6,24) (4,19,10,16,7,22) | |
| (1,22,8,13,10,20) (2,24,5,14,12,17) (3,23,7,15,11,19) (4,21,6,16,9,18) |