Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{4}}&{}\approx{}&0.972473645917&{}:{}&0.011401789184&{}:{}&0.016124564899&,\\B^\prime_{\mathbf{4}}&{}\approx{}&0.645452460308&{}:{}&-0.558260083544&{}:{}&0.912807623235&,\\C^\prime_{\mathbf{4}}&{}\approx{}&1.207106781187&{}:{}&1.207106781187&{}:{}&-1.414213562373&,
\\
A^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.841139138032&{}:{}&0.056813572761&{}:{}&0.102047289207&,\\B^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.974669147540&{}:{}&0.022590201458&{}:{}&0.002740651002&,\\C^{\prime\prime}_{\mathbf{4}}&{}\approx{}&0.966797155858&{}:{}&0.001513500292&{}:{}&0.031689343850&,
\\
A^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&-0.964798685182&{}:{}&0.834466715542&{}:{}&1.130331969639&,\\B^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&1.002015664775&{}:{}&0.011748155250&{}:{}&-0.013763820025&,\\C^{\prime\prime\prime}_{\mathbf{4}}&{}\approx{}&0.993600922536&{}:{}&-0.010075798361&{}:{}&0.016474875825&,
\\
A^*_{\mathbf{4}}&{}\approx{}&0.000000000000&{}:{}&0.324423348821&{}:{}&0.675576651179&,\\B^*_{\mathbf{4}}&{}\approx{}&1.089790213552&{}:{}&0.000000000000&{}:{}&-0.089790213552&,\\C^*_{\mathbf{4}}&{}\approx{}&1.041196100146&{}:{}&-0.041196100146&{}:{}&0.000000000000&.
\end{alignedat}
\]