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Let omega=-1/2+i(sqrt(3))/2. Then the va...

Let `omega=-1/2+i(sqrt(3))/2`. Then the value of the determinant `|(1,1,1),(1,-1-omega^2,omega^2),(1,omega^2,omega^4)|` is (A) `3omega` (B) `3omega(omega-1)` (C) `3omega^2` (D) `3omega(1-omega)`

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