Theory
Powers of i repeat every 4:
TEXT
i^{4k} = 1
i^{4k+1} = i
i^{4k+2} = -1
i^{4k+3} = -i
Powers of i repeat every 4:
i^{4k} = 1
i^{4k+1} = i
i^{4k+2} = -1
i^{4k+3} = -i
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