2. In the proof of Gauss’ Lemma, I stated that each of the terms |a|, |2a|,...

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2. In the proof of Gauss’ Lemma, I stated that each of the terms|a|, |2a|, …, |(p-1)a/2| are distinct modulo p. Prove this bycontradiction. [Hint: As in college algebra, there are twocases.]

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