Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.924076763519&{}:{}&0.029000095800&{}:{}&0.046923140681&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.610234118204&{}:{}&-0.597613662554&{}:{}&0.987379544349&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.883691590199&{}:{}&0.883691590199&{}:{}&-0.767383180398&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.721935174254&{}:{}&0.007465291253&{}:{}&0.270599534493&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.922793554837&{}:{}&0.056157278885&{}:{}&0.021049166278&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.909838685235&{}:{}&0.000572551367&{}:{}&0.089588763398&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-1.179659626960&{}:{}&1.155262692143&{}:{}&1.024396934817&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.995886498846&{}:{}&0.031253684772&{}:{}&-0.027140183618&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.980349231892&{}:{}&-0.030129798552&{}:{}&0.049780566660&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.087785252292&{}:{}&1.087785252292&,\\B^*_{\mathbf{5}}&{}\approx{}&0.762865556060&{}:{}&0.000000000000&{}:{}&0.237134443940&,\\C^*_{\mathbf{5}}&{}\approx{}&1.025731112119&{}:{}&-0.025731112119&{}:{}&0.000000000000&.
\end{alignedat}
\]