Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times A_4$ |
| Group identifier: | $[36,11]$ |
| Signature: | $[ 0; 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 10, 12$ |
The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{3}$ |
| Corresponding character(s): | $2, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.36-11.0.3-3-6.2.1
| (1,13,25) (2,16,27) (3,14,28) (4,15,26) (5,17,29) (6,20,31) (7,18,32) (8,19,30) (9,21,33) (10,24,35) (11,22,36) (12,23,34) | |
| (1,32,23) (2,30,22) (3,29,24) (4,31,21) (5,36,15) (6,34,14) (7,33,16) (8,35,13) (9,28,19) (10,26,18) (11,25,20) (12,27,17) | |
| (1,12,5,4,9,8) (2,11,6,3,10,7) (13,24,17,16,21,20) (14,23,18,15,22,19) (25,36,29,28,33,32) (26,35,30,27,34,31) |