# Huge but small polynomial!

Algebra Level 4

$x^{2016}-1=0$ 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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