Difference between revisions of "ApCoCoA-1:BBSGen.TraceSyzLin"

From ApCoCoAWiki
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<command>
 
<command>
 
   <title>BBSGen.TraceSyzLin</title>
 
   <title>BBSGen.TraceSyzLin</title>
   <short_description>: This function computes the K[c]-linear summand of trace polynomials.(see <ref>BBSGen.TraceSyzFull</ref>)</short_description>
+
   <short_description>: This function computes the K[c]-linear summand of trace polynomials.(see <ref>ApCoCoA-1:BBSGen.TraceSyzFull|BBSGen.TraceSyzFull</ref>)</short_description>
 
    
 
    
 
<syntax>
 
<syntax>
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   </types>
 
   </types>
  
  <see>BBSGen.Wmat</see>
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  <see>ApCoCoA-1:BBSGen.Wmat|BBSGen.Wmat</see>
<see>BBSGen.TraceSyzStep</see>
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<see>ApCoCoA-1:BBSGen.TraceSyzStep|BBSGen.TraceSyzStep</see>
<see>BBSGen.TraceSyzFull</see>
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<see>ApCoCoA-1:BBSGen.TraceSyzFull|BBSGen.TraceSyzFull</see>
  
 
   <key>TraceSyzLin</key>
 
   <key>TraceSyzLin</key>

Revision as of 08:04, 7 October 2020

BBSGen.TraceSyzLin

This function computes the K[c]-linear summand of trace polynomials.(see BBSGen.TraceSyzFull)

Syntax

BBSGen.TraceSyzLin(OO,BO,N);
BBSGen.TraceSyzLin(OO:LIST,BO:LIST,N:INTEGER):LIST

Description




  • @param The order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N].

  • @return List of polynomials from K[t[1..N,1..N,1..Mu,1..Mu]] that is a sub-ring of XX=K[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]].



Example

 
Use R::=QQ[x[1..2]];

OO:=$apcocoa/borderbasis.Box([1,1]);
BO:=$apcocoa/borderbasis.Border(OO);
Mu:=Len(OO);
Nu:=Len(BO);
N:=Len(Indets());
 W:=BBSGen.Wmat(OO,BO,N);

Use XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; 

BBSGen.TraceSyzLin(OO,BO,N); 

[
  t[1,2,1,3] + t[1,2,2,4],
  2t[1,2,1,2] + 2t[1,2,3,4],
  t[1,2,1,3] + t[1,2,2,4],
  2t[1,2,1,4]]
-------------------------------


BBSGen.Wmat

BBSGen.TraceSyzStep

BBSGen.TraceSyzFull