TU-Berlin → Inst. f. Mathematik → Algebra und Zahlentheorie → KASH → Documentation → Reference Manual
KASH3 Reference Manual
search    

Function

TransformationMatrix ( elt-ids^int/ord^fun I ) -> elt-alg^mat, elt-ord^rat

Optional Arguments

Resultselt-ord^rat1 <= Results <= 2

Description

The transformation matrix for ideal I, as an integral matrix and denominator.

Examples

x_f5 := FiniteField(5); x_f5t := PolynomialAlgebra(x_f5); x_f5ty := PolynomialAlgebra(x_f5t); x_k := FunctionField(x_f5ty.1^4-x_f5t.1^5); x_O := MaximalOrderFinite(x_k); x_d := Decomposition(x_O,x_f5t.1); TransformationMatrix(x_d[1])
Built: Mon Nov 14 21:12:39 UTC 2005 on mack
The KANT Group