Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7}}&{}\approx{}&0.448502526124&{}:{}&0.264718787460&{}:{}&0.286778686416&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.733914302124&{}:{}&-1.642091487647&{}:{}&1.908177185523&,\\C^\prime_{\mathbf{7}}&{}\approx{}&1.165631799079&{}:{}&2.797516317790&{}:{}&-2.963148116870&,
\\
A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.900713962997&{}:{}&0.073208637035&{}:{}&0.026077399969&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.510495673307&{}:{}&0.483669674008&{}:{}&0.005834652685&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.485792576122&{}:{}&0.015587334327&{}:{}&0.498620089550&,
\\
A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.264582514778&{}:{}&0.591988320762&{}:{}&0.672594194016&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.036210882669&{}:{}&0.611600765739&{}:{}&-0.647811648408&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.918136196316&{}:{}&-0.505205113421&{}:{}&0.587068917104&,
\\
A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.577712415072&{}:{}&0.422287584928&,\\B^*_{\mathbf{7}}&{}\approx{}&0.807067162602&{}:{}&0.000000000000&{}:{}&0.192932837398&,\\C^*_{\mathbf{7}}&{}\approx{}&0.753557221220&{}:{}&0.246442778780&{}:{}&0.000000000000&.
\end{alignedat}
\]