Roots of a polynomial

Hi,
I have been trying to solve the problem Roots of the polynomial 038
from mipt.ru (el judge). I have failed to do so. I tried to search on
the net but found about contour integrals for routh-hurwitz criterion.
So it is difficult to code.

Can you please tell me how to solve the problem for degree 20 ? and
how to approach the problem for degree 4.

Please do tell me the pseudo code and references.


Thanks,
Terry
temper_3243@xxxxxxxxx

.

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