\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]

\[\color{red}{\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)} \leadsto \color{blue}{\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}}\]

\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \color{red}{\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \color{blue}{\frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \color{red}{\left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)}\right) + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \color{blue}{\frac{-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905}{\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)}}\right) + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\left(\left(\color{red}{\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)} + \frac{-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905}{\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)}\right) + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\left(\color{blue}{\frac{{\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2}{\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}}} + \frac{-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905}{\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)}\right) + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\left(\color{red}{\left(\frac{{\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2}{\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}} + \frac{-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905}{\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)}\right)} + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\color{blue}{\frac{\left({\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right) + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905\right)}{\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)}} + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\color{red}{\left(\frac{\left({\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right) + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905\right)}{\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)} + \frac{{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2}{\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\color{blue}{\frac{\left(\left({\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right) + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left({\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2\right)}{\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)}} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\frac{\color{red}{\left(\left({\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)}\right)}^2 - {\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right)}^2\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right) + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(-176.6150291621406 \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right) + \left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot 12.507343278686905\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left({\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)}^2 - {\left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)}^2\right)}}{\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\frac{\color{blue}{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}}{\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\color{red}{\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) \cdot \left(\left(\left(4 + 1\right) - \left(1 + z\right)\right) \cdot \left(\left(1 + 5\right) - \left(1 + z\right)\right)\right)\right) \cdot \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) - \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)}} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\color{blue}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)}} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]

\[\left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + -1 \cdot z}}\]

\[\left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \color{red}{-1 \cdot z}}} \leadsto \left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \color{blue}{-1 \cdot z}}}\]

\[\color{red}{\left(\frac{\left(\left(\frac{-1259.1392167224028}{\left(0 - z\right) + 2} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) + \frac{771.3234287776531}{\left(0 - z\right) + 3}\right) \cdot \left(\left(\left(-176.6150291621406 \cdot \left(\left(5 - z\right) - 0\right) + \left(\left(4 + 0\right) - z\right) \cdot 12.507343278686905\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)} + \frac{-0.13857109526572012}{6 + \left(0 - z\right)}\right) \cdot \left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) + \left(\left(\left(\left(4 + 0\right) - z\right) \cdot \left(\left(5 - z\right) - 0\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 + \left(0 - z\right)} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(0 - z\right)}\right)\right) \cdot \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right)\right)}{\left(\frac{771.3234287776531}{3 + \left(-z\right)} + \left(\frac{-1259.1392167224028}{2 - z} - \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{\left(-z\right) + 6} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)} + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + -1 \cdot z}}} \leadsto \color{blue}{\frac{\frac{\sqrt{\pi \cdot 2}}{\frac{\sin \left(\pi \cdot z\right)}{\pi}}}{\frac{e^{\left(7 + 0.5\right) + \left(-z\right)}}{{\left(\left(7 + 0.5\right) + \left(-z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\frac{\frac{771.3234287776531}{\left(-z\right) + 3} + \left(\frac{-1259.1392167224028}{2 + \left(-z\right)} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right)}{\left(\left(\frac{-1259.1392167224028}{2 - z} + \frac{771.3234287776531}{\left(-z\right) + 3}\right) - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right)} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(-z\right) + 3} + \frac{-1259.1392167224028}{2 + \left(-z\right)}\right) + \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right) + \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(-176.6150291621406 \cdot \left(5 - z\right) + 12.507343278686905 \cdot \left(4 - z\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)} + \frac{-0.13857109526572012}{6 - z}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)}\]

\[\frac{\frac{\color{red}{\sqrt{\pi \cdot 2}}}{\frac{\sin \left(\pi \cdot z\right)}{\pi}}}{\frac{e^{\left(7 + 0.5\right) + \left(-z\right)}}{{\left(\left(7 + 0.5\right) + \left(-z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\frac{\frac{771.3234287776531}{\left(-z\right) + 3} + \left(\frac{-1259.1392167224028}{2 + \left(-z\right)} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right)}{\left(\left(\frac{-1259.1392167224028}{2 - z} + \frac{771.3234287776531}{\left(-z\right) + 3}\right) - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right)} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(-z\right) + 3} + \frac{-1259.1392167224028}{2 + \left(-z\right)}\right) + \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right) + \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(-176.6150291621406 \cdot \left(5 - z\right) + 12.507343278686905 \cdot \left(4 - z\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)} + \frac{-0.13857109526572012}{6 - z}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right) \leadsto \frac{\frac{\color{blue}{\sqrt{\pi} \cdot \sqrt{2}}}{\frac{\sin \left(\pi \cdot z\right)}{\pi}}}{\frac{e^{\left(7 + 0.5\right) + \left(-z\right)}}{{\left(\left(7 + 0.5\right) + \left(-z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\frac{\frac{771.3234287776531}{\left(-z\right) + 3} + \left(\frac{-1259.1392167224028}{2 + \left(-z\right)} - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right)}{\left(\left(\frac{-1259.1392167224028}{2 - z} + \frac{771.3234287776531}{\left(-z\right) + 3}\right) - \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right)} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(-z\right) + 3} + \frac{-1259.1392167224028}{2 + \left(-z\right)}\right) + \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right) \cdot \left(\left(\left(4 - z\right) \cdot \left(5 - z\right)\right) \cdot \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right)\right) + \left(\frac{-0.13857109526572012}{6 - z} - \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)}\right) \cdot \left(\left(-176.6150291621406 \cdot \left(5 - z\right) + 12.507343278686905 \cdot \left(4 - z\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(-z\right)} + \frac{-0.13857109526572012}{6 - z}\right) \cdot \left(\left(4 - z\right) \cdot \left(5 - z\right)\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\]