Complex City 3

Algebra Level 5

$\large\sum_{n=1}^{66}\frac{4ω^{4n}+3ω^{3n}+3ω^{2n}}{5ω^{2n}+3ω^{n}+3}$

If $$\omega$$ is a non-real cube root of unity, find the value of the summation above.

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