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5. Fix n 1. Show that the nth roots of unity wo,..., Wn-1 satisfy: (a) (zwo) (zw)... (z - wn-1) = 2 - 1,

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5. Fix n 1. Show that the nth roots of unity wo,..., Wn-1 satisfy: (a) (zwo) (zw)... (z - wn-1) = 2" - 1, (b) wo++ wn-1 = 0 if n 2, (c) wown-1 = (-1)-1, n-1 0, (d) w} = {% j=0 1 k n-1, k=n.

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