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\pi_{[z]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[x]}- 0.413 \alpha_{[y]}+ 0.346}{\beta}
\pi_{[z]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[x]}- 0.413 \alpha_{[x]}+ 0.346}{\beta}
\pi_{[z]} = \frac{0.493 \alpha_{[x]} \alpha_{[y]}- 0.413 \alpha_{[]}- 0.413 \alpha_{[x]}+ 0.346}{\beta}
\pi_{[y]} = \frac{0.493 \alpha_{[z]} \alpha_{[x]}- 0.413 \alpha_{[z]}- 0.413 \alpha_{[]}+ 0.346}{\beta}
\pi_{[y]} = \frac{0.493 \alpha_{[z]} \alpha_{[x]}- 0.413 \alpha_{[]}- 0.413 \alpha_{[x]}+ 0.346}{\beta}