Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_8$ |
| Group identifier: | $[40,1]$ |
| Signature: | $[ 0; 8, 8, 20 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 16$ |
The full automorphism group for this family is $C_{40}:C_2$ with signature $[ 0; 2, 8, 40 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{8}$ |
| Corresponding character(s): | $3, 5, 11, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.40-1.0.8-8-20.4.1
| (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) | |
| (1,28,11,38,6,23,16,33) (2,27,12,37,7,22,17,32) (3,26,13,36,8,21,18,31) (4,30,14,40,9,25,19,35) (5,29,15,39,10,24,20,34) | |
| (1,14,7,20,3,11,9,17,5,13,6,19,2,15,8,16,4,12,10,18) (21,34,27,40,23,31,29,37,25,33,26,39,22,35,28,36,24,32,30,38) |