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: | $8, 12, 25$ |
| 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.
14.40-2.0.5-8-40.16.1
| (1,17,13,9,5) (2,18,14,10,6) (3,19,15,11,7) (4,20,16,12,8) (21,37,33,29,25) (22,38,34,30,26) (23,39,35,31,27) (24,40,36,32,28) | |
| (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) | |
| (1,25,11,35,18,22,8,32,13,37,3,27,10,34,20,24,5,29,15,39,2,26,12,36,17,21,7,31,14,38,4,28,9,33,19,23,6,30,16,40) |