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: | $3, 27, 34$ |
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.
15.40-2.0.4-40-40.3.1
| (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) | |
| (1,32,20,26,14,23,11,37,5,36,4,30,18,27,15,21,9,40,8,34,2,31,19,25,13,24,12,38,6,35,3,29,17,28,16,22,10,39,7,33) | |
| (1,36,8,38,10,23,15,25,17,32,4,34,6,39,11,21,13,28,20,30,2,35,7,37,9,24,16,26,18,31,3,33,5,40,12,22,14,27,19,29) |