ApCoCoA-1:BBSGen.Poldeg

This article is about a function from ApCoCoA-1.

BBSGen.PolDeg

This function computes the arrow degree of a given homogenous polynomial from the ring K[c](see BBSGen.Wmat).

Syntax

BBSGen.Poldeg(F,OO,BO,N,W);
BBSGen.Poldeg(F:POLY,OO:LIST,BO:LIST,N:INT,W:MAT):VECTOR;  

Description

• @param A homogeneous polynomial with respect to the arrow grading from the ring K[c], order ideal OO, border BO,number of indeterminates of the polynomial ring K[x_1,...,x_N] and the weight matrix(BBSGen.Wmat).

• @return Degree vector of the given homogenous polynomial wrt. the arrow grading.

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]]; 

F:= c[2,4]c[4,1] - c[3,3]c[4,2] - c[2,3] + c[3,4]; 

BBSGen.Poldeg(F,OO,BO,N,W);

R :: Vector(1, 1)

BBSGen.Wmat

BBSGen.NonTriv

BBSGen.BBFinder