A \( \pm \frac{1}{\sqrt{3}} \left ( 1 + i \right ) \)
B \( \pm \frac{1}{\sqrt{3}} \left ( 1 - i \right ) \)
C \( \pm \frac{1}{\sqrt{6}} \left ( 1 + i \right ) \)
D \( \pm \frac{1}{\sqrt{6}} \left ( 1 - i \right ) \)
Correct Answer: Option C
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