  In 2002 Dimitar Dimitrov posted the problem of finding the optimal
polynomials that provide the sharpness of Koebe Quarter Theorem for polynomials
and asked whether Suffridge polynomials are optimal ones. We disproved
Dimitrov's conjecture for polynomials of degree 3,4,5 and 6. For polynomials of
degree 1 and 2 the conjecture is valid.
