ApCoCoA-1:BBF.RetrieveWPrimeLTs

This article is about a function from ApCoCoA-1.

BBF.RetrieveWPrimeLTs

Retrieves leading terms of polynomials of W'.

Syntax

BBF.RetrieveWPrimeLTs():LIST
BBF.RetrieveWPrimeLTs(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 variant of this command without parameter retrieves the leading terms of the polynomials of W' from the ApCoCoABBFServer. The second variant with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of W'.

• @return List of leading terms of polynomials of set W'.

The following parameter is optional.

• @param Degree Retrieves the leading terms of degree Degree from the polynomials of set W'.

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(10);
-- After computation has finished:
BBF.RetrieveWPrimeLTs();

Output:
[x^3, x^2y, x^2z, xy^2, y^3, y^2z, xz^2, yz^2, z^3]

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(10);
-- After computation has finished:
BBF.RetrieveWPrimeLTs(2);

Output:
[ ]

BBF.Explanation of BBF variables and structures

BBF.RetrieveWPrime