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Of course I made two boo-boos:
E = (A/2*epsilon)*(q1 -q2 -q3 -q4) =0should read: E = (q1-q2-q3-q4)/(A*2epsilon) =0 and
E = (A/2*epsilon)*(q1 +q2 +q3 -q4) =0.should read: E = (q1+q2+q3-q4)/(A*2epsilon)=0
. . .