TeX Quellcode:

\begin{array}{rcl}z_0 &=& \sqrt[3]{27}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 0\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 0\cdot\pi}{3}\right)\right) \\&=& 3\cdot\left(\cos\left(\dfrac{\pi}{6}\right)+i\sin\left(\dfrac{\pi}{6}\right)\right) \\&=& 3\cdot\left(\dfrac{\sqrt{3}}{2}+i\dfrac{1}{2}\right) \\&=& \dfrac{3\sqrt{3}}{2}+\dfrac{3}{2}i \\\\z_1 &=& \sqrt[3]{27}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 1\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 1\cdot\pi}{3}\right)\right) \\&=& 3\cdot\left(\cos\left(\dfrac{5\pi}{6}\right)+i\sin\left(\dfrac{5\pi}{6}\right)\right) \\&=& 3\cdot\left(-\dfrac{\sqrt{3}}{2}+i\dfrac{1}{2}\right) \\&=& -\dfrac{3\sqrt{3}}{2}+\dfrac{3}{2}i \\\\z_2 &=& \sqrt[3]{27}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 2\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{\pi}{2}+2\cdot 2\cdot\pi}{3}\right)\right) \\&=& 3\cdot\left(\cos\left(\dfrac{3\pi}{2}\right)+i\sin\left(\dfrac{3\pi}{2}\right)\right) \\&=& 3\cdot\left(0-i\right) \\&=& -3i \\\\\mathbb{L} &=& \left\{\dfrac{3\sqrt{3}}{2}+\dfrac{3}{2}i \; ; \; -\dfrac{3\sqrt{3}}{2}+\dfrac{3}{2}i \; ; \; -3i\right\}\end{array}