Roots of unity strike again

Algebra Level 4

ωa1ω2a1×ωa2ω2a2×ωa3ω2a3×ωa4ω2a4\frac { \omega-a_1 }{\omega^2-a_1 }\times\frac { \omega-a_2 }{ \omega^2-a_2 }\times \frac { \omega-a_3 }{ \omega^2-a_3 }\times\frac { \omega-a_4 }{ \omega^2-a_4 }

If 1,a1,a2,a3,a41,a_1,a_2,a_3,a_4 are the 5th roots of unity and ω\omega is a primitive (ω1)(\omega\neq1) 3rd root of unity, find the value of the expression above.

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