1. Check that the point (1:i:0:0) is not on S: TRUE : S(1:i:0:0) = 64 2. Check that there is exactly one node on x=y=0 axes: TRUE : milnor = 1 , dim = 0 3. Check that milnor(S_y) = 15 (takes some minutes): TRUE : milnor = 15 , dim = 0 4. Switch to the affine chart w=1. 5. Check that all the 15 sing. are in the affine chart w=1 (takes some minutes): TRUE : milnor = 15 , dim = 0 6. Check that all the 15 singularities are nodes (takes approx. an hour): TRUE : milnor = 0 , dim = -1