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(a) Write 23 E (Z/74Z)* as a product of a Teichmuller lift and an exponential: T(a) . exp(7y), where a E F, y E ZITZ. Your answer for a should be in the set {1,...,6} and your answer for y should be in the set {0, ..., 342}. a y = (b) Hence, find 2347 mod 74. Your answer should be in the set {1, ... , 2400}. 2347 = mod 74. (c) Find the order of 23 in (Z174Z)*. The order of 23 is: (a) Write 23 E (Z/74Z)* as a product of a Teichmuller lift and an exponential: T(a) . exp(7y), where a E F, y E ZITZ. Your answer for a should be in the set {1,...,6} and your answer for y should be in the set {0, ..., 342}. a y = (b) Hence, find 2347 mod 74. Your answer should be in the set {1, ... , 2400}. 2347 = mod 74. (c) Find the order of 23 in (Z174Z)*. The order of 23 is