Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{40}$ |
| Group identifier: | $[40,2]$ |
| Signature: | $[ 0; 4, 40, 40 ]$ |
| Conjugacy classes for this refined passport: | $4, 26, 27$ |
The full automorphism group for this family is $C_{40}:C_2$ with signature $[ 0; 2, 8, 40 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times A_{8}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.40-2.0.4-40-40.10.1
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) (17,20,18,19) (21,24,22,23) (25,28,26,27) (29,32,30,31) (33,36,34,35) (37,40,38,39) | |
| (1,35,8,37,10,24,15,26,17,31,4,33,6,40,11,22,13,27,20,29,2,36,7,38,9,23,16,25,18,32,3,34,5,39,12,21,14,28,19,30) | |
| (1,32,20,26,14,23,11,37,5,36,4,30,18,27,15,21,9,40,8,34,2,31,19,25,13,24,12,38,6,35,3,29,17,28,16,22,10,39,7,33) |