Difference between revisions of "ApCoCoA-1:BBF.RetrieveWPrime"

From ApCoCoAWiki
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{{Version|1}}
 
<command>
 
<command>
    <title>BBF.RetrieveWPrime</title>
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  <title>BBF.RetrieveWPrime</title>
    <short_description>Retrieve polynomials from W'.</short_description>
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  <short_description>Retrieves polynomials from <tt>W'</tt>.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BBF.RetrieveWPrime():LIST
 
BBF.RetrieveWPrime():LIST
 
</syntax>
 
</syntax>
    <description>
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  <description>
 
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them.
 
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them.
 
<par/>
 
<par/>
Retrieve all polynomials from W'.
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This command retrieves all polynomials from <tt>W'</tt>.
 
<itemize>
 
<itemize>
   <item>@return List of polynomials of set W'.</item>
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   <item>@return List of polynomials of set <tt>W'</tt>.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>
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[x^3 - 8001x, x^2y - 8001y, x^2z - 8001z, xy^2 + 8001x, y^3 + 8001y, y^2z + 8001z, xz^2, yz^2, z^3]
 
[x^3 - 8001x, x^2y - 8001y, x^2z - 8001z, xy^2 + 8001x, y^3 + 8001y, y^2z + 8001z, xz^2, yz^2, z^3]
 
</example>
 
</example>
    </description>
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  </description>
     <see>BBF.RetrieveWPrimeLTs</see>
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  <types>
    <key>RetrieveWPrime</key>
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     <type>borderbasis</type>
    <key>BBF.RetrieveWPrime</key>
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  </types>
    <wiki-category>Package_bbf</wiki-category>
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  <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see>
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  <see>ApCoCoA-1:BBF.RetrieveWPrimeLTs|BBF.RetrieveWPrimeLTs</see>
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  <key>RetrieveWPrime</key>
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  <key>BBF.RetrieveWPrime</key>
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  <wiki-category>ApCoCoA-1:Package_bbf</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:49, 7 October 2020

This article is about a function from ApCoCoA-1.

BBF.RetrieveWPrime

Retrieves polynomials from W'.

Syntax

BBF.RetrieveWPrime():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.

This command retrieves all polynomials from W'.

  • @return List of 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.RetrieveWPrime();

Output:
[x^3 - 8001x, x^2y - 8001y, x^2z - 8001z, xy^2 + 8001x, y^3 + 8001y, y^2z + 8001z, xz^2, yz^2, z^3]

BBF.Explanation of BBF variables and structures

BBF.RetrieveWPrimeLTs