Let $\mathbf{F}_7$ be a finite field with $7$ elements and let $\mathbf{F}_7^\ast$ be the non-zero elements of $\mathbf{F}_7$.

Let $+$ be addition and let $\times$ be multiplication in $\mathbf{F}_7$.

It is known that both $(\mathbf{F}_7, +)$ and $(\mathbf{F}_7^\ast, \times)$ are cyclic groups.

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