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: | $5, 17, 18$ |
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.
12.40-10.0.4-10-10.4.1
| (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) | |
| (1,19,7,15,3,11,9,17,5,13) (2,20,8,16,4,12,10,18,6,14) (21,39,27,35,23,31,29,37,25,33) (22,40,28,36,24,32,30,38,26,34) | |
| (1,23,5,27,9,21,3,25,7,29) (2,24,6,28,10,22,4,26,8,30) (11,34,15,38,19,32,13,36,17,40) (12,33,16,37,20,31,14,35,18,39) |