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2.1 (2 points) Below are six pictures of the complex plane with dots representing points, and dashed lines and circles added for visual clarity. Determine

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2.1 (2 points) Below are six pictures of the complex plane with dots representing points, and dashed lines and circles added for visual clarity. Determine which of the pictures (and in particular, the set of dots in the pictures) could represent a set of complex number solutions for an equation of the form zn = a +bi for some n > 2 and complex number a + bi. For example, z4 = 1, or 25 = 2+ i are of this form, while (z2)6 = 1+i and 23 + 2z2 2+1 = 0 are not. Clearly indicate your answer(s), but you do not need to justify your answer or try to determine n or a +bi for any answer(s) you give. - = = (I) (II) (III) (IV) (V) (VI)

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