I want to calculate  an eigenvector of a jacobian matrix J with fixed parameters from the solution of some equations, but the following code does not work. When I use the command in the last 3rd line, it works well.
But I want Maple to calculate J automatically, what shall I do?

restart;
with(linalg);

F[1] := A-(B+1)*X[1]+X[1]^2*X[2];
F[2] := B*X[1]-X[1]^2*X[2];

J := jacobian([F[1], F[2]], [X[1], X[2]]);

sol := solve({F[1] = 0, F[2...