# Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasisLTs"

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## Latest revision as of 09:47, 7 October 2020

This article is about a function from ApCoCoA-1. |

## BBF.RetrieveBorderBasisLTs

Retrieves leading terms of a computed border basis.

### Syntax

BBF.RetrieveBorderBasisLTs():LIST BBF.RetrieveBorderBasisLTs(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 computed border basis polynomials from the ApCoCoABBFServer.

The second variant with the parameter `Degree` >= 0 retrieves the leading terms of degree `Degree` of the computed border basis polynomials.

@return List of border basis leading terms.

The following parameter is optional.

@param

*Degree*Retrieve the border basis leading terms of degree`Degree`.

#### 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.Finish(); -- After computation has finished: BBF.RetrieveBorderBasisLTs(); Output: [z^2, y^2, x^2, yz^2, y^2z, xz^2, xy^2, x^2z, x^2y, xyz^2, xy^2z, x^2yz]

#### 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.Finish(); -- After computation has finished: BBF.RetrieveBorderBasisLTs(2); Output: [z^2, y^2, x^2]

BBF.RetrieveBorderBasisPolyByLT