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Let $w_{0}, w_{1}, w_{2}$, and $w_{3}$ denote the distinct fourth roots of $-i$. Show that $w_{0}+w_{1}+w_{2}+w_{3}=0$.CS. SD.057||

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Let $w_{0}, w_{1}, w_{2}$, and $w_{3}$ denote the distinct fourth roots of $-i$. Show that $w_{0}+w_{1}+w_{2}+w_{3}=0$.CS. SD.057||

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