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D.13.7.3 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
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