isSmoothModelInP5(I)The procedure computes first the quasi-singular locus of the variety in weighted projective space. Afterwards the image of the variety under the 6-uple embedding of $\mathbb{P}(2,2,3,3,3,3)$ into $\mathbb{P}^{13}$ is determined and the points in the quasi-smooth locus are checked for smoothness. Usually, the ideal $I$ defines a surface in the weighted projective obtained by our construction method.
The computation of the quasi-smooth locus of the surfaces obtained by our construction is usually very time consuming.
The object isSmoothModelInP5 is a method function.