Solve for z
z\in \sqrt[22]{2}e^{\frac{13\pi i}{44}},\sqrt[22]{2}e^{\frac{5\pi i}{44}},\sqrt[22]{2}e^{\frac{21\pi i}{44}},\sqrt[22]{2}e^{\frac{29\pi i}{44}},\sqrt[22]{2}e^{\frac{37\pi i}{44}},\sqrt[22]{2}e^{\frac{45\pi i}{44}},\sqrt[22]{2}e^{\frac{53\pi i}{44}},\sqrt[22]{2}e^{\frac{61\pi i}{44}},\sqrt[22]{2}e^{\frac{69\pi i}{44}},2^{\frac{6}{11}}\left(\frac{1}{2}-\frac{1}{2}i\right),\sqrt[22]{2}e^{\frac{85\pi i}{44}}
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