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: | $4, 33, 36$ |
The full automorphism group for this family is $C_8\times D_5$ 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.
15.40-2.0.4-40-40.15.1
| (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) | |
| (1,26,11,36,18,21,8,31,13,38,3,28,10,33,20,23,5,30,15,40,2,25,12,35,17,22,7,32,14,37,4,27,9,34,19,24,6,29,16,39) | |
| (1,38,15,32,6,21,20,35,9,26,3,40,14,29,8,23,17,34,11,28,2,37,16,31,5,22,19,36,10,25,4,39,13,30,7,24,18,33,12,27) |