Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{6}}&{}\approx{}&0.850871453186&{}:{}&0.071581702471&{}:{}&0.077546844343&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.465668350749&{}:{}&-0.676406062698&{}:{}&1.210737711948&,\\C^\prime_{\mathbf{6}}&{}\approx{}&1.234667392808&{}:{}&2.963201742740&{}:{}&-3.197869135548&,
\\
A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.676272942813&{}:{}&0.320367763033&{}:{}&0.003359294154&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.859924081571&{}:{}&0.139786597191&{}:{}&0.000289321237&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.827684584354&{}:{}&0.026557417647&{}:{}&0.145757997999&,
\\
A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&-0.328664738688&{}:{}&0.477401613156&{}:{}&0.851263125532&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.006707068095&{}:{}&0.084691765782&{}:{}&-0.091398833877&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.961333481241&{}:{}&-0.048947629715&{}:{}&0.087614148474&,
\\
A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.143397840021&{}:{}&-0.143397840021&,\\B^*_{\mathbf{6}}&{}\approx{}&1.042769422997&{}:{}&0.000000000000&{}:{}&-0.042769422997&,\\C^*_{\mathbf{6}}&{}\approx{}&0.753557221220&{}:{}&0.246442778780&{}:{}&0.000000000000&.
\end{alignedat}
\]