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D.15.1.4 newtonPolygon

Procedure from library arnold.lib (see arnold_lib).

Usage:
newtonPolygon(f); poly f

Return:
a list with an entry for each of the finite facets of f; each entry consists out of a list with first entry the normal vector of the corresponding facet and second entry
a list containing the coordinates of the vertices of the corresponding facet

Example:
 
LIB "arnold.lib";
ring R=0,(x,y),ds;
poly f = x^9+x^2*y^4+y^2*x^4+y^8;
newtonPolygon(f);
==> [1]:
==>    [1]:
==>       2,1
==>    [2]:
==>       [1]:
==>          0,8
==>       [2]:
==>          2,4
==> [2]:
==>    [1]:
==>       1,1
==>    [2]:
==>       [1]:
==>          2,4
==>       [2]:
==>          4,2
==> [3]:
==>    [1]:
==>       2,5
==>    [2]:
==>       [1]:
==>          4,2
==>       [2]:
==>          9,0


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