Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.892793641318&{}:{}&0.049754644217&{}:{}&0.057451714465&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.777317076691&{}:{}&-1.331951230074&{}:{}&1.554634153382&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.624844448887&{}:{}&1.082262332300&{}:{}&-0.707106781187&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.692790739919&{}:{}&0.006417705730&{}:{}&0.300791554352&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.881016683009&{}:{}&0.095135635614&{}:{}&0.023847681377&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.888678273303&{}:{}&0.000513240303&{}:{}&0.110808486394&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.541953664682&{}:{}&0.928650446468&{}:{}&0.613303218214&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.981048146442&{}:{}&0.054672994102&{}:{}&-0.035721140544&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.990866739077&{}:{}&-0.054629506117&{}:{}&0.063762767040&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.124844448887&{}:{}&1.124844448887&,\\B^*_{\mathbf{5}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{5}}&{}\approx{}&1.036566092485&{}:{}&-0.036566092485&{}:{}&0.000000000000&.
\end{alignedat}
\]