Below is a link to a worksheet I've been working on. It's provided as a 
public pdf on google drive, as I'm still looking for a better way to share 
worksheets. You can easily download the pdf if you prefer.

Please let me know if I've done anything the hard way, or if you see a 
cleaner way to get the same result.

There are a couple issues I ran into while doing this (noted in the 
worksheet).

   1. The integrator failed to give a result for odd k, and continued to 
   ask "Is k/2 an integer?" after assuming odd k, or even k==3. The results 
   for even k seems to be valid for odd k as well.
   2. Warnings from plot.py about "failed to evaluate function at 200 
   points."


https://drive.google.com/file/d/1gTLKxrNCi-g8JmE1_QXyjfYECoEoDvf39x3prXXYpulTC5mQ9pquqWCT_KNG5AwAdAugnH7Q0NXd8nbe/edit?usp=sharing

Thank you for your time,
Buck

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