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$ A = \begin{pmatrix} -1 & -1 \\ -1 & 0 \end{pmatrix}, u(x,y) = \Bigl(0.283699 \cos(2y) , 0.020264 \sin(y) + 0.020264 \cos(y) + -0.020264 \cos(2y)\Bigr)$