Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{6c}}&{}\approx{}&1.577350269190&{}:{}&0.788675134595&{}:{}&-1.366025403784&,\\B^\prime_{\mathbf{6c}}&{}\approx{}&0.788675134595&{}:{}&1.577350269190&{}:{}&-1.366025403784&,\\C^\prime_{\mathbf{6c}}&{}\approx{}&0.405945781451&{}:{}&0.405945781451&{}:{}&0.188108437098&,
\\
A^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.536001570915&{}:{}&0.804002356372&{}:{}&-0.340003927286&,\\B^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.804002356372&{}:{}&0.536001570915&{}:{}&-0.340003927286&,\\C^{\prime\prime}_{\mathbf{6c}}&{}\approx{}&1.183012701892&{}:{}&1.183012701892&{}:{}&-1.366025403784&,
\\
A^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.288735018666&{}:{}&0.577470037332&{}:{}&0.133794944001&,\\B^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.577470037332&{}:{}&0.288735018666&{}:{}&0.133794944001&,\\C^{\prime\prime\prime}_{\mathbf{6c}}&{}\approx{}&0.881853970395&{}:{}&0.881853970395&{}:{}&-0.763707940790&,
\\
A^*_{\mathbf{6c}}&{}\approx{}&0.000000000000&{}:{}&0.692992796309&{}:{}&0.307007203691&,\\B^*_{\mathbf{6c}}&{}\approx{}&0.692992796309&{}:{}&0.000000000000&{}:{}&0.307007203691&,\\C^*_{\mathbf{6c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]