TeX Quellcode:

\begin{array}{rcl}z_2 &=& \sqrt[4]{\dfrac{1}{2}}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{2\pi}{3}+2\cdot 2\cdot\pi}{4}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{2\pi}{3}+2\cdot 2\cdot\pi}{4}\right)\right) \\&=& \sqrt[4]{\dfrac{1}{2}}\cdot\left(\cos\left(\dfrac{7\pi}{6}\right)+i\sin\left(\dfrac{7\pi}{6}\right)\right) \\&=& \dfrac{1}{\sqrt[4]{2}}\cdot\left(-\dfrac{\sqrt{3}}{2}-i\dfrac{1}{2}\right) \\&=& -\dfrac{\sqrt{3}}{2\sqrt[4]{2}}-\dfrac{1}{2\sqrt[4]{2}}i \\\\z_3 &=& \sqrt[4]{\dfrac{1}{2}}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{2\pi}{3}+2\cdot 3\cdot\pi}{4}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{2\pi}{3}+2\cdot 3\cdot\pi}{4}\right)\right) \\&=& \sqrt[4]{\dfrac{1}{2}}\cdot\left(\cos\left(\dfrac{5\pi}{3}\right)+i\sin\left(\dfrac{5\pi}{3}\right)\right) \\&=& \dfrac{1}{\sqrt[4]{2}}\cdot\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right) \\&=& \dfrac{1}{2\sqrt[4]{2}}-\dfrac{\sqrt{3}}{2\sqrt[4]{2}}i \\\\\mathbb{L} &=& \left\{\dfrac{\sqrt{3}}{2\sqrt[4]{2}}+\dfrac{1}{2\sqrt[4]{2}}i \; ; \; -\dfrac{1}{2\sqrt[4]{2}}+\dfrac{\sqrt{3}}{2\sqrt[4]{2}}i \; ; \; -\dfrac{\sqrt{3}}{2\sqrt[4]{2}}-\dfrac{1}{2\sqrt[4]{2}}i \; ; \; \dfrac{1}{2\sqrt[4]{2}}-\dfrac{\sqrt{3}}{2\sqrt[4]{2}}i \right\}\end{array}