Huge but small polynomial!

Algebra Level 5

\[x^{2016}-1=0\] If the roots of the above equation are \[1,\alpha _{1},\alpha _{2},\alpha _{3},\ldots, \alpha _{2015}, \] find the value of \[(1-\alpha _{1} )(1-\alpha _{2} )(1-\alpha _{3} )\cdots (1-\alpha _{2015} ). \]

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