Approximately,
\[
\begin{alignedat}{4}
A^\prime&{}\approx{}&0.577350269190&{}:{}&0.211324865405&{}:{}&0.211324865405&,\\B^\prime&{}\approx{}&0.211324865405&{}:{}&0.577350269190&{}:{}&0.211324865405&,\\C^\prime&{}\approx{}&0.211324865405&{}:{}&0.211324865405&{}:{}&0.577350269190&,
\\
A^{\prime\prime}&{}\approx{}&0.211324865405&{}:{}&0.394337567297&{}:{}&0.394337567297&,\\B^{\prime\prime}&{}\approx{}&0.394337567297&{}:{}&0.211324865405&{}:{}&0.394337567297&,\\C^{\prime\prime}&{}\approx{}&0.394337567297&{}:{}&0.394337567297&{}:{}&0.211324865405&,
\\
A^{\prime\prime\prime}&{}\approx{}&0.154700538379&{}:{}&0.422649730810&{}:{}&0.422649730810&,\\B^{\prime\prime\prime}&{}\approx{}&0.422649730810&{}:{}&0.154700538379&{}:{}&0.422649730810&,\\C^{\prime\prime\prime}&{}\approx{}&0.422649730810&{}:{}&0.422649730810&{}:{}&0.154700538379&,
\\
A^*&{}\approx{}&0.000000000000&{}:{}&0.500000000000&{}:{}&0.500000000000&,\\B^*&{}\approx{}&0.500000000000&{}:{}&0.000000000000&{}:{}&0.500000000000&,\\C^*&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]