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\( \frac{b + i a}{d + i c} = i \)

\( \omega = \frac{-1 + i\sqrt{3}}{2} \), then \( \frac{a\omega + b}{c\omega + d} = \omega \)

If \( m \) is an integer greater than \( 2 \) such that \( (ST)^2 = (ST)^m \), then \( m \) is an integer multiple of \( 8 \)

If \( z \in H \), then \( \frac{a z + b}{c z + d} \in H \)