The sign of a natural permutation on the squares of F_{p^2} is computed explicitly in terms of the class number h(-p) and a local congruence bit.
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Squares in $\mathbb{F}_{p^2}$ and permutations involving primitive roots
The sign of a natural permutation on the squares of F_{p^2} is computed explicitly in terms of the class number h(-p) and a local congruence bit.