  We present our implementation of an algorithm which functions as a numerical
oracle for the Newton polytope of a hypersurface in the Macaulay2 package
NumericalNP.m2. We propose a tropical membership test, relying on this
algorithm, for higher codimension varieties based on ideas from Hept and
Theobald. To showcase this software, we investigate the Newton polytope of both
a hypersurface coming from algebraic vision and the Luroth invariant.
