If m is a positive integer, the zeros of the polynomial
f(z) = zm - 1
are called the m-th roots of unity. The Newton fractals given by the polynomials of the form are very popular in fractal plotting probably because we get such interesting pictures from the simple formula with known zeros. The picture above is given by m = 5.
Question: In the picture above, the unit disk of the complex plane is highlighted; can you locate all five roots?
The picture below is given by magnifying one of the narrow bands in the above picture.
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