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: | $5, 10, 36$ |
| 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.
14.40-2.0.5-8-40.2.1
| (1,5,9,13,17) (2,6,10,14,18) (3,7,11,15,19) (4,8,12,16,20) (21,25,29,33,37) (22,26,30,34,38) (23,27,31,35,39) (24,28,32,36,40) | |
| (1,23,4,21,2,24,3,22) (5,27,8,25,6,28,7,26) (9,31,12,29,10,32,11,30) (13,35,16,33,14,36,15,34) (17,39,20,37,18,40,19,38) | |
| (1,38,15,32,6,21,20,35,9,26,3,40,14,29,8,23,17,34,11,28,2,37,16,31,5,22,19,36,10,25,4,39,13,30,7,24,18,33,12,27) |