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 KASH3 Reference Manual
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Function

Minimum ( elt-pls/fld^fun P ) -> elt-rng

Description

A monic prime polynomial in k[x] or 1/x, corresponding to the place of the rational function field P lies above. The function field of P must be an extension of the rational function field.

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]); Minimum(x_p);
Built: Mon Nov 14 21:12:39 UTC 2005 on mack
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