ApCoCoA-1:BBSGen.TraceSyzLin: Difference between revisions
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<item>@param The order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N]. | <item>@param The order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N]. | ||
</item> | </item> | ||
<item>@return List of polynomials from K[t[1..N,1..N,1..Mu,1..Mu]] \subset XX. | <item>@return List of polynomials from K[t[1..N,1..N,1..Mu,1..Mu]] \subset XX. | ||
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Use R::=QQ[x[1..2]]; | Use R::=QQ[x[1..2]]; | ||
OO:= | OO:=$apcocoa/borderbasis.Box([1,1]); | ||
BO:= | BO:=$apcocoa/borderbasis.Border(OO); | ||
Mu:=Len(OO); | Mu:=Len(OO); | ||
Nu:=Len(BO); | Nu:=Len(BO); | ||
Revision as of 23:27, 14 June 2012
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]] \subset XX.
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]] -------------------------------
