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3. (25 points) Solve the quadratic equation: r* = 361 mod 87317 via three different method, namely (i)index equation, (ii) classical method and (iii) number

3. (25 points) Solve the quadratic equation: r* = 361 mod 87317 via three different method, namely (i)index equation, (ii) classical method and (iii) number field method via Frobenius Mapping Theorem. Observe that 5 5 mod 8 1 mod 87317. p 361((1/4)

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