Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.851153302357&{}:{}&0.061654320878&{}:{}&0.087192376765&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.695704992003&{}:{}&-0.679580427103&{}:{}&0.983875435101&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&-0.000000000000&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.581836654238&{}:{}&0.006742702007&{}:{}&0.411420643755&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.812606250236&{}:{}&0.109772717108&{}:{}&0.077621032656&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.838498727648&{}:{}&0.001312651844&{}:{}&0.160188620509&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&43.145659826952&{}:{}&-42.145659826952&{}:{}&-0.000000000000&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.932456391348&{}:{}&0.067543608652&{}:{}&-0.000000000000&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.969290044293&{}:{}&-0.068584381168&{}:{}&0.099294336875&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.089790213552&{}:{}&1.089790213552&,\\B^*_{\mathbf{5}}&{}\approx{}&0.675576651179&{}:{}&0.000000000000&{}:{}&0.324423348821&,\\C^*_{\mathbf{5}}&{}\approx{}&1.041196100146&{}:{}&-0.041196100146&{}:{}&0.000000000000&.
\end{alignedat}
\]