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Let f[:} = :3 13.132 + 52:: 53. Given that at] E (m 7}[$ 3)2 (mod 11}, use the method of Hensel's Lemma to solve

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Let f[:} = :3 13.132 + 52:: 53. Given that at] E (m 7}[$ 3)2 (mod 11}, use the method of Hensel's Lemma to solve for z} E 0 [mod 1331}. Note that 1331 = 113. Explain your answer. The final answer should be in terms of least residues

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