# Primes? Squares? Polynomials? Too easy!

Level pending

Let $$R$$ denote the remainder when the largest root of the polynomial $$x^3 - 1032x^2 + 276267x - 5120540$$ is squared, then divided by 12.

$$\sqrt[3]{R}$$ can be expressed as either one of $$a + bi, c + di,$$ and $$e + fi$$, where $$a, b, c, d, e, f \in \mathbb{R}$$. Find the value of $$a + b + c + d + e + f$$?

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