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Find the cube roots of unity....

Find the cube roots of unity.

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Value of |{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega):}| is zero, where omega,omega^(2) are imaginary cube roots of unity.

Sum the series : 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))......(n-1)(n-omega)(n-omega^(2)) where omega and omega^(2) are non-real cube roots of unity.