\begin{aligned}
\frac{Y_3}{Z_3}&=\frac{dY_1^2Y_2^2(dY_1^2Y_2^2-aY_1^2Z^2-aY_2^2Z^2)+(a^2Y_1^2Z^2+a^2Y_2^2Z^2-a^2Z^4)Z^4}
{-y_4[dY_1^2Y_2^2(dY_1^2Y_2^2-dY_1^2Z^2-dY_2^2Z^2)+(adY_1^2Z^2+adY_2^2Z^2-a^2Z^4)Z^4]}
\end{aligned}
\begin{aligned}
\frac{Y_3}{Z_3}&=\frac{dY_1^2Y_2^2(dY_1^2Y_2^2-aY_1^2Z^2-aY_2^2Z^2)+(a^2Y_1^2Z^2+a^2Y_2^2Z^2-a^2Z^4)Z^4}
{-y_4[dY_1^2Y_2^2(dY_1^2Y_2^2-dY_1^2Z^2-dY_2^2Z^2)+(adY_1^2Z^2+adY_2^2Z^2-a^2Z^4)Z^4]}
\end{aligned}
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