Test if variation of Zernike coefficients for term i does itself have a pattern of the ith Zernike polynomial

Based on presentation on Josh Mayers and discussion with Johs Meyers and Aaron Roodman in dm-donut channel (LSST project), the claim is that (A. Roodman): ``I think its a deep optical result that the variation of Zernike coefficients for term i does itself have a pattern of the ith Zernike polynomial. I seem to recall its in the literature, but don’t have this at my fingertips. ''. They attach image of Z9 determined for DECam which looks exactly as Z9.

This ticket is to investigate if this is true for PFS