z is a complex number and P is the product of the roots of the equation:
z⁶ + z⁴ + z³ + z² + z² +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.