\[ \huge \lfloor\: 10000\: \cdot \:(i^{i}) \rfloor \: = \: ? \]

\[ \]
Note: \( i = \sqrt{-1} \)
\[ \]
**Important**: Of the infinite number of values that \( i^{i} \) can take, find the one with greatest modulus less than 1."

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