
D.13.1.17 ellipticNFDB
Procedure from library polymake.lib (see polymake_lib).
 Usage:
 ellipticNFDB(n[,#]); n int, # list
 Assume:
 n is an integer between 1 and 16
 Purpose:
 this is a database storing the 16 normal forms of planar polygons with
precisely one interior point up to unimodular affine transformations
(see e.g. Bjorn Poonen, Fernando RodriguezVillegas: Lattice Polygons
and the number 12. Amer. Math. Monthly 107 (2000), no. 3,
238250.)
 Return:
 list, L such that
L[1] : list whose entries are the vertices of the nth normal form
L[2] : list whose entries are all the lattice points of the
nth normal form
L[3] : only present if the optional parameter # is present, and
then it is a polynomial in the variables (x,y) whose
Newton polygon is the nth normal form
 Note:
 the optional parameter is only allowed if the basering has the
variables x and y
Example:
 LIB "polymake.lib";
list nf=ellipticNFDB(5);
// the vertices of the 5th normal form are
nf[1];
// its lattice points are
nf[2];

