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$\large x^3 + 2x^2 - 3x - 1 = 0$

If $a,b \text{ \& } c$ are the roots of this equation, find the value of $\displaystyle \sum_{\text{cyc}} \dfrac{1}{a^3}$.

Note:

$\displaystyle \sum_{\text{cyc}}$ denotes cyclic summation.

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