Approximately,
\[
\begin{alignedat}{4}
A^\prime&{}\approx{}&0.500000000000&{}:{}&0.207106781187&{}:{}&0.292893218813&,\\B^\prime&{}\approx{}&0.207106781187&{}:{}&0.500000000000&{}:{}&0.292893218813&,\\C^\prime&{}\approx{}&0.148846697643&{}:{}&0.148846697643&{}:{}&0.702306604714&,
\\
A^{\prime\prime}&{}\approx{}&0.173208929102&{}:{}&0.295686137432&{}:{}&0.531104933466&,\\B^{\prime\prime}&{}\approx{}&0.295686137432&{}:{}&0.173208929102&{}:{}&0.531104933466&,\\C^{\prime\prime}&{}\approx{}&0.353553390593&{}:{}&0.353553390593&{}:{}&0.292893218813&,
\\
A^{\prime\prime\prime}&{}\approx{}&0.122962885091&{}:{}&0.296858664855&{}:{}&0.580178450054&,\\B^{\prime\prime\prime}&{}\approx{}&0.296858664855&{}:{}&0.122962885091&{}:{}&0.580178450054&,\\C^{\prime\prime\prime}&{}\approx{}&0.386729540170&{}:{}&0.386729540170&{}:{}&0.226540919661&,
\\
A^*&{}\approx{}&0.000000000000&{}:{}&0.324423348821&{}:{}&0.675576651179&,\\B^*&{}\approx{}&0.324423348821&{}:{}&0.000000000000&{}:{}&0.675576651179&,\\C^*&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]