📖 Primitive Root of Unity

A primitive $n$-th root of unity is a root $\\zeta$ such that $\\zeta^n = 1$ but $\\zeta^k \\ne 1$ for $0 < k < n$. Equivalently, $\\zeta = e^{2\\pi i k/n}$ where $\\gcd(k, n) = 1$.

From: Disquisitiones Arithmeticae

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