If one of the vertices of the square circumscribing the circle \( |...

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If one of the vertices of the square circumscribing the circle \( |z-1|=\sqrt{2} \) is \( 2+\sqrt{3} i \). Find the other vertices of square.
\( (2005,4 \mathrm{M}) \)
\( \mathrm{P} \)
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