If \(A_{0}\), \(A_{1}\), \(A_{2}\), \(A_{3}\), \(A_{4}\) and \(A_{5}\) are the consecutive vertices of a regular hexagon inscribed in a unit circle, then find the product of the lengths of \(A_{0}A_{1}\), \(A_{0}A_{2}\) and \(A_{0}A_{4}\).

This problem is part of the set Trigonometry.

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