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: | $3, 29, 32$ |
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.
15.40-2.0.4-40-40.5.1
| (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) | |
| (1,27,12,33,18,24,7,30,13,39,4,25,10,36,19,22,5,31,16,37,2,28,11,34,17,23,8,29,14,40,3,26,9,35,20,21,6,32,15,38) | |
| (1,39,16,29,6,24,19,34,9,27,4,37,14,32,7,22,17,35,12,25,2,40,15,30,5,23,20,33,10,28,3,38,13,31,8,21,18,36,11,26) |