Example 1 15 asserts that there is an isomorphism of U 8 with Z 8 in which e i( 4) 5 and 2 2 Find the element of Z 8 that corresponds to each of the remaining six elements m in U 8 form 0, 3, 4, 5, 6, and 7

Question: Example 1.15 asserts that there is an isomorphism of U 8 with Z 8 in which = e i(/4) 5 and 2 2.

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

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