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D.13.7.3 newtonPolygonNegSlopes
Procedure from librarytropicalNewton.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
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 |