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Math List I with List II : $\omega \ne1$ is a cube root of unity.
 LIST I LIST II
A. The value of $\frac{1}{9}(1-\omega)(1-{\omega}^2)(1-{\omega}^4)(1-{\omega}^8)\, $ isI. 0 
B. $\omega{(1+\omega-{\omega}^2)}^7$ ________ is equal to II. 1 
C. The least positive integer n such that ${(1+{\omega}^2)}^n={(1+{\omega}^4)}^n$ isIII. -128
D. $(1+\omega+{\omega}^2)$ is equal to IV. 3
Choose the correct answer from the options given below:





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