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- #1

$$

T(z) = e^{i\varphi}\frac{z - a}{z - \bar{z}}

$$

for some $\varphi\in\mathbb{R}$ and some $a\in\mathbb{C}$ with $\text{Im}(a) > 0$

I need some guidance here. Opalg keeps suggestion to multiple by the conjugate so as a stab in the dark should I multiple by the conjugate here as well?