Geodesic Loop through a Specific Point?

[deGravity]

I am attempting to compute a geodesic loop through a specific point, but when I use either find_geodesic_loop or find_geodesic_path_poly, the returned path does not contain any of the input points. What I would like is to find a loop through a given point, and use the seed path (loop) to determine the isotopy group of the path.

This image shows what I get currently. The red points are what I input to either find_geodesic_loop or find_geodesic_path_poly. The red line is the result of both of those methods, while the blue line is what I'm hoping for; a loop that starts and ends at the point pointed to in green.

Is there a way to achieve this?