Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_{40}$ |
| Group identifier: | $[40,2]$ |
| Signature: | $[ 0; 5, 8, 40 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 27$ |
| Jacobian variety group algebra decomposition: | $A_{8}\times A_{4}\times A_{2}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.40-2.0.5-8-40.9.1
| (1,13,5,17,9) (2,14,6,18,10) (3,15,7,19,11) (4,16,8,20,12) (21,33,25,37,29) (22,34,26,38,30) (23,35,27,39,31) (24,36,28,40,32) | |
| (1,21,3,23,2,22,4,24) (5,25,7,27,6,26,8,28) (9,29,11,31,10,30,12,32) (13,33,15,35,14,34,16,36) (17,37,19,39,18,38,20,40) | |
| (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) |