Word Count : 318

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To solve this expression, let’s break it down step by step. The cube roots of unity are the complex solutions to the equation \( x^3 = 1 \). These roots are: \[ 1, \omega, \omega^2 \] where \( \omega = e^{2\pi i / 3} \), and it satisfies the relations: \[ \omega^3 = ______ ______ ________ ________ ____ ________ _____ ___ ____ _____ ________.
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