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: | $5, 12, 28$ |
| 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.
14.40-2.0.5-8-40.4.1
| (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) | |
| (1,24,4,22,2,23,3,21) (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) | |
| (1,37,15,31,6,22,20,36,9,25,3,39,14,30,8,24,17,33,11,27,2,38,16,32,5,21,19,35,10,26,4,40,13,29,7,23,18,34,12,28) |