Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{6}}&{}\approx{}&0.422649730810&{}:{}&0.211324865405&{}:{}&0.366025403784&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.211324865405&{}:{}&0.422649730810&{}:{}&0.366025403784&,\\C^\prime_{\mathbf{6}}&{}\approx{}&3.695074732983&{}:{}&3.695074732983&{}:{}&-6.390149465966&,
\\
A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.399785608688&{}:{}&0.599678413032&{}:{}&0.000535978280&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.599678413032&{}:{}&0.399785608688&{}:{}&0.000535978280&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.316987298108&{}:{}&0.316987298108&{}:{}&0.366025403784&,
\\
A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.787010845008&{}:{}&1.574021690017&{}:{}&-1.361032535025&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.574021690017&{}:{}&0.787010845008&{}:{}&-1.361032535025&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.348915260374&{}:{}&0.348915260374&{}:{}&0.302169479252&,
\\
A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.082262332300&{}:{}&-0.082262332300&,\\B^*_{\mathbf{6}}&{}\approx{}&1.082262332300&{}:{}&0.000000000000&{}:{}&-0.082262332300&,\\C^*_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]