Gaussian periods

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Does not work on mobile! please play on desktop sorry --> Gaussian periods n = ω = Colorize Color modulus Suppose that $\omega, d$ and $n$ are positive integers satisfying $\omega^d \equiv 1 \mod n$. A Gaussian period is a function $\sigma^{\mathbb{Z}/n}_{\langle\omega\rangle}: \mathbb{Z}_n \to \mathbb{C}$ defined by the exponential sum of the powers of $\omega$:…

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