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KASH3 Reference Manual
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Function

NewtonPolygon ( elt-alg^pol f, elt-pls/fld^fun p ) -> newtgon

Optional Arguments

Facesstring"All" or "Inner" or "Lower"

Description

The newton polygon of f the place p.

Examples

x_gf5 := FiniteField(5); x_gf5t := PolynomialAlgebra(x_gf5); x_gf5tX := PolynomialAlgebra(x_gf5t); x_h := x_gf5tX.1^4 + 3*x_gf5tX.1^2 + x_gf5t.1; x_k := FunctionField(x_h); x_o := MaximalOrderFinite(x_k); x_s := Decomposition(x_o,x_gf5t.1); x_p := Place(x_s[2]); x_px:= PolynomialAlgebra(FunctionField(x_p)); NewtonPolygon(x_px.1^5 - 19, x_p);
Built: Mon Nov 14 21:12:39 UTC 2005 on mack
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