Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.963942436427&{}:{}&0.015023984822&{}:{}&0.021033578751&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.594492064089&{}:{}&-0.981640213631&{}:{}&1.387148149542&,\\C^\prime_{\mathbf{5}}&{}\approx{}&1.514159796021&{}:{}&2.523599660036&{}:{}&-3.037759456057&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.853773920225&{}:{}&0.006591806573&{}:{}&0.139634273202&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.967198711644&{}:{}&0.029870140906&{}:{}&0.002931147450&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.958424069483&{}:{}&0.000137117250&{}:{}&0.041438813267&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.376299246022&{}:{}&0.621354757393&{}:{}&0.754944488629&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&1.003185612785&{}:{}&0.015635628073&{}:{}&-0.018821240858&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.993661637026&{}:{}&-0.015343699673&{}:{}&0.021682062646&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.107625218511&{}:{}&1.107625218511&,\\B^*_{\mathbf{5}}&{}\approx{}&0.858257569496&{}:{}&0.000000000000&{}:{}&0.141742430504&,\\C^*_{\mathbf{5}}&{}\approx{}&1.016309071859&{}:{}&-0.016309071859&{}:{}&0.000000000000&.
\end{alignedat}
\]