Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_{12}$ |
| Group identifier: | $[36,6]$ |
| Signature: | $[ 0; 6, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $12, 15, 16$ |
The full automorphism group for this family is $S_3^2:C_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{2}^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $7, 9, 14, 15, 16$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.36-6.0.6-12-12.1.1
| (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) (25,29,27,28,26,30) (31,35,33,34,32,36) | |
| (1,25,16,22,7,31,4,28,13,19,10,34) (2,27,17,24,8,33,5,30,14,21,11,36) (3,26,18,23,9,32,6,29,15,20,12,35) | |
| (1,33,10,24,13,27,4,36,7,21,16,30) (2,32,11,23,14,26,5,35,8,20,17,29) (3,31,12,22,15,25,6,34,9,19,18,28) |