\( A \) is a variable point on \( x \)-axis and \( B(0, b) \) is a ...

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\( A \) is a variable point on \( x \)-axis and \( B(0, b) \) is a fixied point. \( A \) equilateral triangle \( A B C \) is completed with vertex \( C \) away from origin. If the locus of the point \( C \) is \( \alpha x+\beta y=b \), then \( \alpha^{3}+\beta^{3} \) is
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