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D.15.35.7 tropicalVarietyNewton

Procedure from library tropicalNewton.lib (see tropicalNewton_lib).

Usage:
tropicalVarietyNewton(I); I ideal

Return:
matrix, a matrix containing all elements of the tropical variety

Assume:
uniformizingParameter is set, I monomial free and zero-dimensional

Example:
 
LIB "tropicalNewton.lib";
ring r = (0,t),(z,y,x),lp;
number uniformizingParameter = t;
export(uniformizingParameter);
ideal I = tx2+x+1,txy2+xy+1,xyz+1;
list TI = tropicalVarietyNewton(I);
for (int i=1; i<=size(TI); i++)
{ print(TI[i]); }
==> 0,0,0
==> 0,-1,1
==> -1,1,0
==> -2,1,1
kill uniformizingParameter;