Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{3}}&{}\approx{}&-0.597613662554&{}:{}&0.610234118204&{}:{}&0.987379544349&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.029000095800&{}:{}&0.924076763519&{}:{}&0.046923140681&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.883691590199&{}:{}&0.883691590199&{}:{}&-0.767383180398&,
\\
A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.056157278885&{}:{}&0.922793554837&{}:{}&0.021049166278&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.007465291253&{}:{}&0.721935174254&{}:{}&0.270599534493&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.000572551367&{}:{}&0.909838685235&{}:{}&0.089588763398&,
\\
A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.031253684772&{}:{}&0.995886498846&{}:{}&-0.027140183618&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&1.155262692143&{}:{}&-1.179659626960&{}:{}&1.024396934817&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.030129798552&{}:{}&0.980349231892&{}:{}&0.049780566660&,
\\
A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.762865556060&{}:{}&0.237134443940&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.087785252292&{}:{}&0.000000000000&{}:{}&1.087785252292&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.025731112119&{}:{}&1.025731112119&{}:{}&0.000000000000&.
\end{alignedat}
\]