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     z = 3e^{\frac{3\pi}{4}i}

    so multiply the mods add the args. z^2 = zz = [3e^{\frac{3\pi}{4}i}]^2 = 9e^{\frac{3\pi}{2}i}

    Express this in mod-arg form,  r[cos\theta + isin\theta] where and evaluate the trig functions, to get it in the form a+bi.
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