Hello, I am new to sage math and tried to get the solution to the following 
nonlinear equation system. Sage has been working on this since yesterday 
and I am wondering how long I should typically wait. All comments are 
appreciated. Thanks in advance.

var('A B E F I J R T')

eq1 = A*E-B^2-B*F+E^2==1
eq4 = A*I-B*J+I^2+R^2==-1/2
eq5 = A*R-B*T+2*R*I==0
eq6 = B*I-E*J+I*J+R*T==0
eq8 = -B*R+E*T-R*J-I*T==0
eq9 = E*I-F*J+J^2+T^2==1/2
eq11 = -E*R+F*T-2*T*J==0
eq12 = I^2-R^2-J^2+T^2==-1

solve([eq1,eq4,eq5,eq6,eq8,eq9,eq11,eq12],A,B,E,F,I,J,R,T)

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