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: | $7, 12, 31$ |
| 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.
14.40-2.0.5-8-40.12.1
| (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) | |
| (1,24,4,22,2,23,3,21) (5,28,8,26,6,27,7,25) (9,32,12,30,10,31,11,29) (13,36,16,34,14,35,15,33) (17,40,20,38,18,39,19,37) | |
| (1,29,19,27,14,22,12,40,5,33,3,31,18,26,16,24,9,37,7,35,2,30,20,28,13,21,11,39,6,34,4,32,17,25,15,23,10,38,8,36) |