What is the meaning of this pattern of polynomial coefficients?

[Robert A. Macy]

Group,

I’ve got a matrix of complex values.  

Each row relates to one variable.

Along each row relates to an ordinate (vector).

After doing a polynomial fit for each row whether 2, 3, 4,
5, … are used for the number of coefficients; the
characteristics of those coefficients look almost
identical!  Except for every other one is shifted in phase
by 180 degrees and their magnitude is different, but their
“shape” in the complex plane is almost identical. 

What is the significance of this?  

- Robert –




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