Plot on Intersection Curves with adapted meshes

Thanks for taking a crack at this, I was wondering about a couple of things:

  1. is setting the absolute tolerance to 0.01 for Clean going to lead to extremely fine elements being ignored and
  2. From what I can tell using the index as the x-axis makes all the points equidistant and using our own index leads to the following

Can you think of any way to circumvent this? I think that I need to take all the data <0 and shift them by π, and that would fix how the data points are connected.