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: | $3, 25, 36$ |
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.
15.40-2.0.4-40-40.1.1
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) (17,19,18,20) (21,23,22,24) (25,27,26,28) (29,31,30,32) (33,35,34,36) (37,39,38,40) | |
| (1,25,11,35,18,22,8,32,13,37,3,27,10,34,20,24,5,29,15,39,2,26,12,36,17,21,7,31,14,38,4,28,9,33,19,23,6,30,16,40) | |
| (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) |