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: | $3, 26, 35$ |
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.
15.40-2.0.4-40-40.2.1
| (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) | |
| (1,35,8,37,10,24,15,26,17,31,4,33,6,40,11,22,13,27,20,29,2,36,7,38,9,23,16,25,18,32,3,34,5,39,12,21,14,28,19,30) | |
| (1,31,20,25,14,24,11,38,5,35,4,29,18,28,15,22,9,39,8,33,2,32,19,26,13,23,12,37,6,36,3,30,17,27,16,21,10,40,7,34) |