The sum of principal arguments of complex numbers 1+i, -1+√3, -√3-i, √3-i, i, -3i, 2-1 is

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\frac{[(1 + i)^{5} (1 + \sqrt{3} i)^{2}]}{[- 2 i (- \sqrt{3} + i)]}

\frac{{(1 + i)}^{5} {(1 + \sqrt{3 i})}^{2}}{- 2 i (- \sqrt{3} + i)}

z = \frac{(1 + i \sqrt{3})^{2}}{(1 - i)^{3}}

z = - 1 - i \sqrt{3}

z = - \sqrt{3} + i

z = 1 + i \sqrt{3}

\frac{[(1 + i)^{5} (1 + \sqrt{3} i)^{2}]}{- 2 i [\sqrt{3} - 1 - (\sqrt{3} + 1) i]}

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