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: | $7, 10, 11$ |
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.
4.36-11.0.3-3-6.5.1
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,21,25) (6,24,27) (7,22,28) (8,23,26) (9,13,29) (10,16,31) (11,14,32) (12,15,30) | |
| (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) | |
| (1,8,9,4,5,12) (2,7,10,3,6,11) (13,20,21,16,17,24) (14,19,22,15,18,23) (25,32,33,28,29,36) (26,31,34,27,30,35) |