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KASH3 Reference Manual | |||||||||||||
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FunctionNewtonPolygon
(
elt-alg^pol f,
elt-pls/fld^fun p
)
->
newtgon
Optional Arguments
DescriptionExamplesx_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);
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Built:
Mon Nov 14 21:12:39 UTC 2005 on mackThe KANT Group |