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: | $4, 29, 40$ |
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.
15.40-2.0.4-40-40.11.1
| (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) | |
| (1,27,12,33,18,24,7,30,13,39,4,25,10,36,19,22,5,31,16,37,2,28,11,34,17,23,8,29,14,40,3,26,9,35,20,21,6,32,15,38) | |
| (1,40,16,30,6,23,19,33,9,28,4,38,14,31,7,21,17,36,12,26,2,39,15,29,5,24,20,34,10,27,3,37,13,32,8,22,18,35,11,25) |