Example 1.15 asserts that there is an isomorphism of U8 with ℤ8 in which ζ = ei(π/4) ↔ and ζ2↔ 2. Find the element of ℤ8 that corresponds to each of the remaining six elements ζm in U8 for m = 0, 3, 4, 5, 6, and 7.
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