Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times D_4$ |
| Group identifier: | $[40,10]$ |
| Signature: | $[ 0; 4, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $5, 14, 21$ |
The full automorphism group for this family is $C_5:D_8$ with signature $[ 0; 2, 8, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 7, 22$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.40-10.0.4-10-10.1.1
| (1,31,2,32) (3,33,4,34) (5,35,6,36) (7,37,8,38) (9,39,10,40) (11,22,12,21) (13,24,14,23) (15,26,16,25) (17,28,18,27) (19,30,20,29) | |
| (1,13,5,17,9,11,3,15,7,19) (2,14,6,18,10,12,4,16,8,20) (21,33,25,37,29,31,23,35,27,39) (22,34,26,38,30,32,24,36,28,40) | |
| (1,29,7,25,3,21,9,27,5,23) (2,30,8,26,4,22,10,28,6,24) (11,40,17,36,13,32,19,38,15,34) (12,39,18,35,14,31,20,37,16,33) |