If \( \alpha \) is a non-real fifth root of unity, then the value of \( 3^{\left|1+\alpha+\alpha...
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If \( \alpha \) is a non-real fifth root of unity, then the value of \( 3^{\left|1+\alpha+\alpha^{2}+\alpha^{-2}-\alpha^{-1}\right|} \), is
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