Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.977945244486&{}:{}&0.007744600231&{}:{}&0.014310155282&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.537710817439&{}:{}&-0.531270854722&{}:{}&0.993560037284&,\\C^\prime_{\mathbf{5}}&{}\approx{}&2.630986313698&{}:{}&2.630986313698&{}:{}&-4.261972627396&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.892928382147&{}:{}&0.005347135768&{}:{}&0.101724482085&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.982796873040&{}:{}&0.015443740099&{}:{}&0.001759386861&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.971694615132&{}:{}&0.000091437238&{}:{}&0.028213947631&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.621914613235&{}:{}&0.614466172935&{}:{}&1.007448440299&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&1.004933481561&{}:{}&0.007958327031&{}:{}&-0.012891808592&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.993237573411&{}:{}&-0.007771499506&{}:{}&0.014533926094&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.070445884989&{}:{}&1.070445884989&,\\B^*_{\mathbf{5}}&{}\approx{}&0.871533517609&{}:{}&0.000000000000&{}:{}&0.128466482391&,\\C^*_{\mathbf{5}}&{}\approx{}&1.009795579104&{}:{}&-0.009795579104&{}:{}&0.000000000000&.
\end{alignedat}
\]