= Multiplicative character of a finite field
{title2=$\chi:\mathbb F_q^\times\to\mathbb C^\times$}
A multiplicative <character> is a <group homomorphism> from a <finite field>'s <multiplicative group of a finite field> to the complex unit circle. A generator of the cyclic <multiplicative group of a finite field> produces a <character> of every order dividing $q-1$. Extend every such <character> to zero by value zero, including the trivial multiplicative <character>, when using cyclotomic indicator formulas.
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