(COMMIFY)
(MATRIXIFY)
(ALGFORMINPUT)
vars x,y,z;
4*y^3*z+4*x*y^3,
y^2*z^2+12*x*y^2*z+6*x^2*y^2+4*y^3,
4*y*z^3+12*x*y*z^2+12*x^2*y*z+4*x^3*y+12*y^2*z+12*x*y^2,4*z^3+12*x*z^2+12*x^2*z+4*x^3+12*y*z+12*x*y;

