Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{4a}}&{}\approx{}&3.732050807569&{}:{}&-1.366025403784&{}:{}&-1.366025403784&,\\B^\prime_{\mathbf{4a}}&{}\approx{}&1.366025403784&{}:{}&1.000000000000&{}:{}&-1.366025403784&,\\C^\prime_{\mathbf{4a}}&{}\approx{}&1.366025403784&{}:{}&-1.366025403784&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.366025403784&{}:{}&-0.183012701892&{}:{}&-0.183012701892&,\\B^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.549038105677&{}:{}&-1.366025403784&{}:{}&-0.183012701892&,\\C^{\prime\prime}_{\mathbf{4a}}&{}\approx{}&2.549038105677&{}:{}&-0.183012701892&{}:{}&-1.366025403784&,
\\
A^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&0.405827419558&{}:{}&0.297086290221&{}:{}&0.297086290221&,\\B^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.108741129337&{}:{}&-0.405827419558&{}:{}&0.297086290221&,\\C^{\prime\prime\prime}_{\mathbf{4a}}&{}\approx{}&1.108741129337&{}:{}&0.297086290221&{}:{}&-0.405827419558&,
\\
A^*_{\mathbf{4a}}&{}\approx{}&0.000000000000&{}:{}&0.500000000000&{}:{}&0.500000000000&,\\B^*_{\mathbf{4a}}&{}\approx{}&1.866025403784&{}:{}&0.000000000000&{}:{}&-0.866025403784&,\\C^*_{\mathbf{4a}}&{}\approx{}&1.866025403784&{}:{}&-0.866025403784&{}:{}&0.000000000000&.
\end{alignedat}
\]