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$\large { i }^{ 0! }+{ i }^{ 1! }+{ i }^{ 2! }+\cdots +{ i }^{ 100! }= \, ?$

Clarifications:

$i = \sqrt{-1}$.

$!$ denotes the factorial notation. For example, $8! = 1\times2\times3\times\cdots\times8$.

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