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

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

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

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

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

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

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

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

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

\[\frac{\left({\left(\left(z + 7\right) - \left(1 - 0.5\right)\right)}^{\left(\left(z + 0.5\right) - 1\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \left(\left(\left(\frac{-1259.1392167224028}{2 + \left(z - 1\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) - \left(\left(0.9999999999998099 + \frac{676.5203681218851}{z - 0}\right) + \frac{-176.6150291621406}{\left(4 - 1\right) + z}\right)\right) \cdot \left((\left(\left(\left(z - 1\right) + 7\right) \cdot \left(8 + \left(z - 1\right)\right)\right) * \left({\left(\frac{-0.13857109526572012}{z - \left(1 - 6\right)}\right)}^2 - {\left(\frac{12.507343278686905}{\left(5 + z\right) - 1}\right)}^2\right) + \left(\left(\frac{-0.13857109526572012}{z - \left(1 - 6\right)} - \frac{12.507343278686905}{\left(5 + z\right) - 1}\right) \cdot (\left(8 + \left(z - 1\right)\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left(7 \cdot 1.5056327351493116 \cdot 10^{-07}\right))_*\right))_*\right))_* + \left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{z - 0}\right) + \frac{-176.6150291621406}{\left(4 - 1\right) + z}\right) + \left(\frac{-1259.1392167224028}{2 + \left(z - 1\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right) \cdot \left(\left(\frac{-0.13857109526572012}{z - \left(1 - 6\right)} - \frac{12.507343278686905}{\left(5 + z\right) - 1}\right) \cdot \left(\left(\left(z - 1\right) + 7\right) \cdot \left(8 + \left(z - 1\right)\right)\right)\right)\right)\right)}{\left(\left(\left(\left(\left(z + 8\right) - 1\right) \cdot \left(7 + \left(z - 1\right)\right)\right) \cdot \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} - \frac{12.507343278686905}{z - \left(1 - 5\right)}\right)\right) \cdot \left(\left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) - \left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z + 4\right) - 1}\right)\right)\right) \cdot e^{\left(z - 1\right) + \left(0.5 + 7\right)}} \leadsto \left(2589.3085625591866 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.008580849175662781 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)\right) - \left(0.007547676694692113 \cdot \left(\frac{\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.007547676694692113 \cdot \left(\sqrt{\pi} \cdot \left(\frac{(\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_* \cdot \left(z \cdot \left(\sqrt{2} \cdot \log 6.5\right)\right)}{e^{6.5}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)\]

\[\color{red}{\left(2589.3085625591866 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.008580849175662781 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)\right) - \left(0.007547676694692113 \cdot \left(\frac{\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.007547676694692113 \cdot \left(\sqrt{\pi} \cdot \left(\frac{(\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_* \cdot \left(z \cdot \left(\sqrt{2} \cdot \log 6.5\right)\right)}{e^{6.5}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)} \leadsto \color{blue}{\left(2589.3085625591866 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.008580849175662781 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)\right) - \left(0.007547676694692113 \cdot \left(\frac{\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.007547676694692113 \cdot \left(\sqrt{\pi} \cdot \left(\frac{(\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_* \cdot \left(z \cdot \left(\sqrt{2} \cdot \log 6.5\right)\right)}{e^{6.5}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)}\]

\[\left(2589.3085625591866 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.008580849175662781 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right)\right) - \left(0.007547676694692113 \cdot \left(\frac{\sqrt{2} \cdot (\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(1659.90957515991 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 0.007547676694692113 \cdot \left(\sqrt{\pi} \cdot \left(\frac{(\left(\left(6 + z\right) \cdot \left(7 + z\right)\right) * \left(0.01920194844314128 \cdot \frac{1}{{\left(5 + z\right)}^2} - 156.4336358909145 \cdot \frac{1}{{\left(4 + z\right)}^2}\right) + \left(-1 \cdot \left(\left(0.13857109526572012 \cdot \frac{1}{5 + z} + 12.507343278686905 \cdot \frac{1}{4 + z}\right) \cdot (\left(7 + z\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_* \cdot \left(z \cdot \left(\sqrt{2} \cdot \log 6.5\right)\right)}{e^{6.5}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right) \leadsto (2589.3085625591866 * \left(\frac{z \cdot \sqrt{\pi}}{\frac{e^{6.5}}{\sqrt{2}}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\left(\sqrt{2} \cdot z\right) \cdot {\left(\log 6.5\right)}^2}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) \cdot 338.26018406094255\right))_* + \left((\left(\frac{676.5203681218851 \cdot \sqrt{2}}{\frac{e^{6.5}}{\log 6.5}}\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left((\left(\frac{0.008580849175662781 \cdot \left(\left(\sqrt{2} \cdot z\right) \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}}\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\sqrt{2} \cdot \sqrt{\pi}}{e^{6.5} \cdot z} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) \cdot 676.5203681218851\right))_*\right))_* - \left((0.007547676694692113 * \left(\left(\frac{\sqrt{2}}{e^{6.5}} \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right) \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(\left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) \cdot \frac{1659.90957515991 \cdot \left(\sqrt{2} \cdot \left(z \cdot \log 6.5\right)\right)}{e^{6.5}}\right))_* + (\left(0.007547676694692113 \cdot \sqrt{\pi}\right) * \left(\frac{(\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{\frac{e^{6.5}}{\sqrt{2} \cdot \left(z \cdot \log 6.5\right)}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\frac{1659.90957515991 \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right))_*\right)\right)\]

\[\color{red}{(2589.3085625591866 * \left(\frac{z \cdot \sqrt{\pi}}{\frac{e^{6.5}}{\sqrt{2}}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\left(\sqrt{2} \cdot z\right) \cdot {\left(\log 6.5\right)}^2}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) \cdot 338.26018406094255\right))_* + \left((\left(\frac{676.5203681218851 \cdot \sqrt{2}}{\frac{e^{6.5}}{\log 6.5}}\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left((\left(\frac{0.008580849175662781 \cdot \left(\left(\sqrt{2} \cdot z\right) \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right)}{e^{6.5}}\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\sqrt{2} \cdot \sqrt{\pi}}{e^{6.5} \cdot z} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) \cdot 676.5203681218851\right))_*\right))_* - \left((0.007547676694692113 * \left(\left(\frac{\sqrt{2}}{e^{6.5}} \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*\right) \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(\left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) \cdot \frac{1659.90957515991 \cdot \left(\sqrt{2} \cdot \left(z \cdot \log 6.5\right)\right)}{e^{6.5}}\right))_* + (\left(0.007547676694692113 \cdot \sqrt{\pi}\right) * \left(\frac{(\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{\frac{0.01920194844314128}{z + 5}}{z + 5} - \frac{\frac{156.4336358909145}{4 + z}}{4 + z}\right) + \left(\left(\frac{12.507343278686905}{4 + z} + \frac{0.13857109526572012}{z + 5}\right) \cdot \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_*\right)\right))_*}{\frac{e^{6.5}}{\sqrt{2} \cdot \left(z \cdot \log 6.5\right)}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\frac{1659.90957515991 \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right))_*\right)\right)} \leadsto \color{blue}{(\left(\frac{\sqrt{2} \cdot 676.5203681218851}{\frac{e^{6.5}}{\log 6.5}}\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left((\left(\frac{\sqrt{2} \cdot \left(0.008580849175662781 \cdot z\right)}{e^{6.5}} \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{0.01920194844314128}{{\left(z + 5\right)}^2} - \frac{\frac{156.4336358909145}{z + 4}}{z + 4}\right) + \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_* \cdot \left(\frac{0.13857109526572012}{z + 5} + \frac{12.507343278686905}{z + 4}\right)\right))_*\right) * \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\sqrt{\pi}}{e^{6.5}} \cdot \frac{\sqrt{2}}{z}\right) \cdot \left({\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5} \cdot 676.5203681218851\right)\right))_*\right))_* - \left((0.007547676694692113 * \left(\left(\left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) \cdot \frac{\sqrt{2}}{e^{6.5}}\right) \cdot (\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{0.01920194844314128}{{\left(z + 5\right)}^2} - \frac{\frac{156.4336358909145}{z + 4}}{z + 4}\right) + \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_* \cdot \left(\frac{0.13857109526572012}{z + 5} + \frac{12.507343278686905}{z + 4}\right)\right))_*\right) + \left({\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5} \cdot \left(\sqrt{\pi} \cdot \frac{\left(1659.90957515991 \cdot z\right) \cdot \sqrt{2}}{\frac{e^{6.5}}{\log 6.5}}\right)\right))_* + \left((\left(\sqrt{\pi} \cdot 0.007547676694692113\right) * \left(\frac{(\left(\left(z + 6\right) \cdot \left(z + 7\right)\right) * \left(\frac{0.01920194844314128}{{\left(z + 5\right)}^2} - \frac{\frac{156.4336358909145}{z + 4}}{z + 4}\right) + \left(-(\left(z + 7\right) * \left( 9.984369578019572 \cdot 10^{-06} \right) + \left((\left(z - 1\right) * \left( 1.5056327351493116 \cdot 10^{-07} \right) + \left( 1.053942914604518 \cdot 10^{-06} \right))_*\right))_* \cdot \left(\frac{0.13857109526572012}{z + 5} + \frac{12.507343278686905}{z + 4}\right)\right))_*}{\frac{\frac{e^{6.5}}{\left(\sqrt{2} \cdot \log 6.5\right) \cdot z}}{{\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}}}\right) + \left({\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5} \cdot \frac{1659.90957515991 \cdot \sqrt{\pi}}{\frac{e^{6.5}}{\sqrt{2}}}\right))_* - (2589.3085625591866 * \left(\frac{\sqrt{\pi} \cdot z}{\frac{e^{6.5}}{\sqrt{2}}} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right) + \left(\left(\frac{\left(\sqrt{2} \cdot z\right) \cdot \left(\log 6.5 \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) \cdot 338.26018406094255\right))_*\right)\right)}\]