ReplaceAll[{(ω - 2/ω)/Sqrt[2], (ω + 2/ω)/Sqrt[2]}, {ω -> Cos[Pi/4] + I Sin[Pi/4]}]ReplaceAll[{(ω - 2/ω)/Sqrt[2], (ω + 2/ω)/Sqrt[2]}, {ω -> Cos[Pi/4] + I Sin[Pi/4]}]

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