z is a complex number and P is the product of the roots of the equation:
z^{6} + z^{4} + z^{3} + z^{2} + z^{2} +1 = 0 with each root having a positive imaginary part.
Given that, P = r(cos θ + i*sin θ), where r > 0 and 0 ≤ θ < 360^{o}
Find θ.