Difference between revisions of "ApCoCoA-1:BBSGen.TraceSyzLinStep"
From ApCoCoAWiki
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<itemize> | <itemize> | ||
| − | <item>@param The term Pi, the distinguished variable of choice that divides Pi, order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N]. | + | <item>@param The term Pi, the distinguished variable of choice that divides Pi, order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N]. |
</item> | </item> | ||
<item>@return K[c]-linear summand of the trace polynomial with respect to Pi and the variable X.</item> | <item>@return K[c]-linear summand of the trace polynomial with respect to Pi and the variable X.</item> | ||
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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 23:28, 14 June 2012
BBSGen.TraceSyzStep
- This function computes the K[c]-linear summand of the trace polynomial T_{Pi,X} with respect to a given term Pi and a variable from ring K[x_1,...,x_N].(see BBSGen.TraceSyzFull)
Syntax
BBSGen.TraceSyzLin(Pi,X,OO,BO,N); BBSGen.TraceSyzLin(Pi:POLY,X:POLY,OO:LIST,BO:LIST,N:INTEGER):LIST
Description
Note the following: The chosen variable must be a divisor of the term Pi other wise the result is 0. Pi must be a product of at least two different indeterminates.
@param The term Pi, the distinguished variable of choice that divides Pi, order ideal OO, border BO, the number of Indeterminates of the polynomial ring K[x_1,...,x_N].
@return K[c]-linear summand of the trace polynomial with respect to Pi and the variable X.
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()); Pi:=x[1]^2x[2]; X:=x[1]; ------------Choice of the Variable Use XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; BBSGen.TraceSyzLinStep(Pi,X,OO,BO,N); t[1,2,1,3] + t[1,2,2,4] -------------------------------
