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The congruences for Jacobi sums of some lower orders has been treated by manyauthors in the literature. In this paper we establish the congruences forJacobi sums of order 2l^2 with odd prime l. These congruences are useful toobtain algebraic and arithmetic characterizations for Jacobi sums of order 2l^2 .

Complete Congruences of Jacobi sums of order 2l^2 with prime l