The polynomial used to define a polygon can be recovered, but more usefully so can those restrictions of that polynomial to parts of the polygon, the so-called face functions in particular.
Note that most of these functions will return an error if N was not defined in terms of a polynomial.
Return true if and only if the polygon N was defined as the Newton polygon of some polynomial.
The polynomial used to define the polygon N.
The parent ring of the polynomial of the polygon N.
Return whether the newton polygon N is defined by the polynomial f.
If the polygon N is defined by a polynomial in two variables f this returns those monomial terms of f whose corresponding Newton points lie on the face F. On the other hand, if N is determined by a univariate polynomial over a series ring, this returns the univariate polynomial supported on the face F.
Return true if the face function along F is not squarefree.
Return true if a face function on some face of N is degenerate.
Return false if the face function along F is not squarefree.
Return false if a face function on some face of N is degenerate.