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\begin{array}{rcl}z_0 &=& \sqrt[3]{\sqrt[2]{2}}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 0\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 0\cdot\pi}{3}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\cos\left(\dfrac{5\pi}{12}\right)+i\sin\left(\dfrac{5\pi}{12}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\dfrac{\sqrt{6}-\sqrt{2}}{4}+\dfrac{\sqrt{6}+\sqrt{2}}{4} i\right) \\&=& \dfrac{\left(\sqrt{6}-\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}+\dfrac{\left(\sqrt{6}+\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}i \\\\z_1 &=& \sqrt[3]{\sqrt[3]{2}}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 1\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 1\cdot\pi}{3}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\cos\left(\dfrac{13\pi}{12}\right)+i\sin\left(\dfrac{13\pi}{12}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\dfrac{-\sqrt{6}-\sqrt{2}}{4}+\dfrac{-\sqrt{6}+\sqrt{2}}{4} i\right) \\&=& \dfrac{\left(-\sqrt{6}-\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}+\dfrac{\left(-\sqrt{6}+\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}i \\\\z_2 &=& \sqrt[3]{\sqrt[3]{2}}\cdot\left(\cos\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 2\cdot\pi}{3}\right)+i\sin\left(\genfrac{}{}{1pt}{0}{\frac{5\pi}{4}+2\cdot 0\cdot\pi}{3}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\cos\left(\dfrac{7\pi}{4}\right)+i\sin\left(\dfrac{7\pi}{4}\right)\right) \\&=& \sqrt[6]{2}\cdot\left(\dfrac{\sqrt{2}}{2}-\dfrac{\sqrt{2}}{2}i\right) \\&=& \dfrac{\sqrt{2}\cdot\sqrt[6]{2}}{2}-\dfrac{\sqrt{2}\cdot\sqrt[6]{2}}{2}i \\\\\mathbb{L} &=& \left\{\dfrac{\left(\sqrt{6}-\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}+\dfrac{\left(\sqrt{6}+\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}i \; ; \; \dfrac{\left(-\sqrt{6}-\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}+\dfrac{\left(-\sqrt{6}+\sqrt{2}\right)\cdot\sqrt[6]{2}}{4}i \; ; \; \dfrac{\sqrt{2}\cdot\sqrt[6]{2}}{2}-\dfrac{\sqrt{2}\cdot\sqrt[6]{2}}{2}i \right\}\end{array}