Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_{12}$ |
| Group identifier: | $[36,8]$ |
| Signature: | $[ 0; 6, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $13, 25, 30$ |
The full automorphism group for this family is $S_3\times C_{12}$ with signature $[ 0; 2, 12, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E\times A_{2}\times E\times A_{2}\times E\times A_{2}\times E$ |
| Corresponding character(s): | $2, 6, 7, 14, 17, 18, 19, 22, 23$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.36-8.0.6-12-12.1.1
| (1,4,5,2,3,6) (7,10,11,8,9,12) (13,16,17,14,15,18) (19,22,23,20,21,24) (25,28,29,26,27,30) (31,34,35,32,33,36) | |
| (1,25,14,20,7,31,2,26,13,19,8,32) (3,27,16,22,9,33,4,28,15,21,10,34) (5,29,18,24,11,35,6,30,17,23,12,36) | |
| (1,35,10,20,17,27,2,36,9,19,18,28) (3,31,12,22,13,29,4,32,11,21,14,30) (5,33,8,24,15,25,6,34,7,23,16,26) |