Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.873016509412&{}:{}&0.056437106928&{}:{}&0.070546383660&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.738284950003&{}:{}&-0.968759866674&{}:{}&1.230474916671&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.563999515037&{}:{}&0.751999353383&{}:{}&-0.315998868420&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.639479875463&{}:{}&0.006764812343&{}:{}&0.353755312194&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.851443972781&{}:{}&0.104994442978&{}:{}&0.043561584241&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.865710845562&{}:{}&0.000846980150&{}:{}&0.133442174288&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-1.146186633268&{}:{}&1.503998706765&{}:{}&0.642187926503&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.963873023464&{}:{}&0.062310625634&{}:{}&-0.026183649098&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.983103089917&{}:{}&-0.062545307803&{}:{}&0.079442217886&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.108380256645&{}:{}&1.108380256645&,\\B^*_{\mathbf{5}}&{}\approx{}&0.718508012224&{}:{}&0.000000000000&{}:{}&0.281491987776&,\\C^*_{\mathbf{5}}&{}\approx{}&1.039834563767&{}:{}&-0.039834563767&{}:{}&0.000000000000&.
\end{alignedat}
\]