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