Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_7$ |
| Group identifier: | $[42,4]$ |
| Signature: | $[ 0; 6, 6, 21 ]$ |
| Conjugacy classes for this refined passport: | $5, 5, 12$ |
The full automorphism group for this family is $C_3\times D_{14}$ with signature $[ 0; 2, 6, 42 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{6}^{2}$ |
| Corresponding character(s): | $3, 4, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.42-4.0.6-6-21.2.1
| (1,29,15,22,8,36) (2,35,16,28,9,42) (3,34,17,27,10,41) (4,33,18,26,11,40) (5,32,19,25,12,39) (6,31,20,24,13,38) (7,30,21,23,14,37) | |
| (1,33,15,26,8,40) (2,32,16,25,9,39) (3,31,17,24,10,38) (4,30,18,23,11,37) (5,29,19,22,12,36) (6,35,20,28,13,42) (7,34,21,27,14,41) | |
| (1,11,21,3,13,16,5,8,18,7,10,20,2,12,15,4,14,17,6,9,19) (22,32,42,24,34,37,26,29,39,28,31,41,23,33,36,25,35,38,27,30,40) |