It's getting complex 2

Algebra Level 2

i587+i629+i777+i847+i995i577+i619+i767+i837+i985= ? \large \dfrac{i^{587}+i^{629}+i^{777}+i^{847}+i^{995}}{i^{577}+i^{619}+i^{767}+i^{837}+i^{985}}= \ ? \

Clarification: i=1i=\sqrt{-1}.

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