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: | $3, 28, 33$ |
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.
15.40-2.0.4-40-40.4.1
| (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) | |
| (1,37,15,31,6,22,20,36,9,25,3,39,14,30,8,24,17,33,11,27,2,38,16,32,5,21,19,35,10,26,4,40,13,29,7,23,18,34,12,28) | |
| (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) |