Home Online Manual
Top
Back: val
Forward: cccMatrixToPositiveIntvec
FastBack:
FastForward:
Up: tropicalNewton_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.15.25.3 newtonPolygonNegSlopes

Procedure from library tropicalNewton.lib (see tropicalNewton_lib).

Usage:
newtonPolygonNegSlopes(g,b); g poly, b int

Return:
list, the negative slopes of the Newton Polygon of g
if b==1, computes root (type poly) instead if (easily) possible

Assume:
uniformizingParameter is set and g univariate

Example:
 
LIB "tropicalNewton.lib";
ring r = (0,t),x,dp;
setUniformizingParameter(t);
poly g = tx2+x+1;
newtonPolygonNegSlopes(g);
==> [1]:
==> 0
==> [2]:
==> -1
// poor man's polynomials over p-adic numbers:
ring s = 0,x,dp;
setUniformizingParameter(3);
poly g = x2+9x+1;
newtonPolygonNegSlopes(g);
==> [1]:
==> 0