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D.6.9.13 newtonpoly

Procedure from library hnoether.lib (see hnoether_lib).

Usage:
newtonpoly(f); f poly

Assume:
basering has exactly two variables;
f is convenient, that is, f(x,0) != 0 != f(0,y).

Return:
list of intvecs (= coordinates x,y of the Newton polygon of f).

Note:
Procedure uses execute; this can be avoided by calling newtonpoly(f,1) if the ordering of the basering is ls.

Example:
 
LIB "hnoether.lib";
ring r=0,(x,y),ls;
poly f=x5+2x3y-x2y2+3xy5+y6-y7;
newtonpoly(f);
==> [1]:
==>    0,6
==> [2]:
==>    2,2
==> [3]:
==>    3,1
==> [4]:
==>    5,0