Planar 7

Each choreography is winding $l$ times around a center and invariant by rotations of $2\pi/m$. Also, the bodies move in groups of $h$ polygons, where $h$ is maximum common divisor of $n$ and $k$. In addition, these choreographies are symmetric by a reflection in the plane.

3 : 2 resonant orbit for k = 3
5 : 1 resonant orbit for k = 3
4 : 1 resonant orbit for k = 2
5 : 3 resonant orbit for k = 2
15 : 4 resonant orbit for k = 4
2 : 1 resonant orbit for k = 4