Approximately,
\[
\begin{alignedat}{4}
A^\prime&{}\approx{}&0.436000484963&{}:{}&0.250666451128&{}:{}&0.313333063909&,\\B^\prime&{}\approx{}&0.166223547185&{}:{}&0.556737207507&{}:{}&0.277039245308&,\\C^\prime&{}\approx{}&0.126983490588&{}:{}&0.169311320784&{}:{}&0.703705188628&,
\\
A^{\prime\prime}&{}\approx{}&0.143977759878&{}:{}&0.337099556066&{}:{}&0.518922684056&,\\B^{\prime\prime}&{}\approx{}&0.251561692011&{}:{}&0.202109115078&{}:{}&0.546329192911&,\\C^{\prime\prime}&{}\approx{}&0.292819591879&{}:{}&0.413109855691&{}:{}&0.294070552430&,
\\
A^{\prime\prime\prime}&{}\approx{}&0.101101661394&{}:{}&0.338622641568&{}:{}&0.560275697038&,\\B^{\prime\prime\prime}&{}\approx{}&0.252241117390&{}:{}&0.145019072008&{}:{}&0.602739810602&,\\C^{\prime\prime\prime}&{}\approx{}&0.316169953677&{}:{}&0.456613555245&{}:{}&0.227216491078&,
\\
A^*&{}\approx{}&0.000000000000&{}:{}&0.363024264146&{}:{}&0.636975735854&,\\B^*&{}\approx{}&0.281491987776&{}:{}&0.000000000000&{}:{}&0.718508012224&,\\C^*&{}\approx{}&0.407379031733&{}:{}&0.592620968267&{}:{}&0.000000000000&.
\end{alignedat}
\]