Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_6\times S_3$ |
| Group identifier: | $[36,12]$ |
| Signature: | $[ 0; 6, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $12, 15, 18$ |
The full automorphism group for this family is $C_3:D_{12}$ with signature $[ 0; 2, 6, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 6, 15, 16$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.36-12.0.6-6-6.1.1
| (1,11,3,10,2,12) (4,14,6,13,5,15) (7,17,9,16,8,18) (19,29,21,28,20,30) (22,32,24,31,23,33) (25,35,27,34,26,36) | |
| (1,22,7,19,4,25) (2,24,8,21,5,27) (3,23,9,20,6,26) (10,31,16,28,13,34) (11,33,17,30,14,36) (12,32,18,29,15,35) | |
| (1,36,4,30,7,33) (2,35,5,29,8,32) (3,34,6,28,9,31) (10,27,13,21,16,24) (11,26,14,20,17,23) (12,25,15,19,18,22) |