a=0.3;c=3*a; b=0; ro=0.1;
g=(a*z^2+b*z+c)/(z^2-1);f=ro;
Z1=Integrate[f*(1-g^2),z];
Z2=Integrate[I*f*(1+g^2),z];
Z3=Integrate[2*f*g,z];
M={Z1,Z2,Z3};
M=Simplify[M/.z->x+I*y];
M=M/.I->0


ParametricPlot3D[M,{u,-3,3},{v,-π,π}]