ApCoCoA-1:BBF.RetrieveVLTs

This article is about a function from ApCoCoA-1.

BBF.RetrieveVLTs

Retrieve leading terms of polynomials of V.

Syntax

BBF.RetrieveVLTs():LIST
BBF.RetrieveVLTs(Degree:INT):LIST

Description

Please note: The function(s) explained on this page is/are using the ApCoCoABBFServer. You will have to start the ApCoCoABBFServer in order to use it/them.

The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of V.

• @return List of leading terms from polynomials of set V.

The following parameter is optional.

• @param Degree Retrieve the leading terms of degree Degree from the polynomials of set V.

Example

Use ZZ/(32003)[x, y, z],DegLex;
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
BBF.Init(I);
BBF.Steps(20);
-- After computation has finished:
BBF.RetrieveVLTs();

Output:
[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2]

Example

Use ZZ/(32003)[x, y, z],DegLex;
I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2);
BBF.Init(I);
BBF.Steps(20);
-- After computation has finished:
BBF.RetrieveVLTs(3);

Output:
[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2]

BBF.Explanation of BBF variables and structures

BBF.RetrieveV

BBF.RetrieveVPolysWithTermInSupport