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\pi_{[]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[y]}- 0.413 \alpha_{[x]}+ 0.346}{\beta}
\beta=1.75 \alpha_{[x]} \alpha_{[y]} \alpha_{[z]} -1.11 (\alpha_{[x]} \alpha_{[y]}+\alpha_{[y]}\alpha_{[z]}+\alpha_{[z]}\alpha_{[x]}) \\+ 0.544 (\alpha_{[x]}+\alpha_{[y]}+\alpha_{[z]}) - 0.132
\beta=1.75 \alpha_{[x]} \alpha_{[y]} \alpha_{[z]} -1.11 (\alpha_{[x]} \alpha_{[y]}+\alpha_{[y]}\alpha_{[z]}+\alpha_{[z]}\alpha_{[x]}) + 0.544 (\alpha_{[x]}+\alpha_{[y]}+\alpha_{[z]}) - 0.132
\pi_{[z]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[y]}- 0.413 \alpha_{[x]}+ 0.346}{\beta}
\pi_{[z]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[y]}- 0.413 \alpha_{[x]}+ 0.346}{}