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 KASH3 Reference Manual
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Keyword

Modules and Lattices

Description

In KASH3 we can construct for example modules in number fields over orders. Lattices are represented as matrices. We can compute the Gram matrix and a LLL-reduced basis of a lattice.

Examples

o2 := MaximalOrder(X^2-2); Po2:= PolynomialAlgebra(o2); O := EquationOrder(Po2.1^3-3); M := Module(O); N := Matrix(Q,3,3,[1/2,3,2,3,0,1,2,9/2,2]); G := GramMatrix(N);LLL(N);
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