Question: Task 3 This task illustrates that the quotient and the remainder of two given Gaussian integers need not be uniquely determined, even if multiples of

Task 3 This task illustrates that the quotient and the remainder of two given Gaussian integers need not be uniquely determined, even if multiples of :l:1, :|:i are considered equivalent. Let 2 = 51 +82' and m = 5+ 71" throughout this task. (a) Verify that 51 + St = [3 + 5i){ + 7i) + (2 i), and that N{2 i]
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