Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7}}&{}\approx{}&0.339626576009&{}:{}&0.275155593329&{}:{}&0.385217830661&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.452113991507&{}:{}&-0.507046638357&{}:{}&1.054932646850&,\\C^\prime_{\mathbf{7}}&{}\approx{}&2.918870481961&{}:{}&4.864784136602&{}:{}&-6.783654618563&,
\\
A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.782953582064&{}:{}&0.213419407240&{}:{}&0.003627010697&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.477700838466&{}:{}&0.520851463581&{}:{}&0.001447697953&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.369715208310&{}:{}&0.065928674661&{}:{}&0.564356117029&,
\\
A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.408902602683&{}:{}&0.458584989628&{}:{}&0.950317613055&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.469647391994&{}:{}&1.190665656617&{}:{}&-1.660313048611&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.629297132966&{}:{}&-0.343070711143&{}:{}&0.713773578177&,
\\
A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.774291885177&{}:{}&0.225708114823&,\\B^*_{\mathbf{7}}&{}\approx{}&0.858257569496&{}:{}&0.000000000000&{}:{}&0.141742430504&,\\C^*_{\mathbf{7}}&{}\approx{}&0.638344598849&{}:{}&0.361655401151&{}:{}&0.000000000000&.
\end{alignedat}
\]