Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_8$ |
| Group identifier: | $[40,1]$ |
| Signature: | $[ 0; 8, 8, 10 ]$ |
| Conjugacy classes for this refined passport: | $7, 8, 12$ |
The full automorphism group for this family is $Q_8:D_5$ with signature $[ 0; 2, 8, 20 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{8}$ |
| Corresponding character(s): | $5, 11, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.40-1.0.8-8-10.2.1
| (1,21,11,31,6,26,16,36) (2,25,12,35,7,30,17,40) (3,24,13,34,8,29,18,39) (4,23,14,33,9,28,19,38) (5,22,15,32,10,27,20,37) | |
| (1,33,16,23,6,38,11,28) (2,32,17,22,7,37,12,27) (3,31,18,21,8,36,13,26) (4,35,19,25,9,40,14,30) (5,34,20,24,10,39,15,29) | |
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) (21,29,22,30,23,26,24,27,25,28) (31,39,32,40,33,36,34,37,35,38) |