Identifier
Identifier
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
click to show generating function       
Description
The sum of projective dimension of simple modules with even projective dimension divided by 2 in the LNakayama algebra corresponding to Dyck paths.
Code


DeclareOperation("projdimsimpleeven", [IsList]);

InstallMethod(projdimsimpleeven, "for a representation of a quiver", [IsList],0,function(L)


local A,projA,U,simA,UU,t,tt,W,i,injA;
A:=L[1];
simA:=SimpleModules(A);
U:=Filtered(simA,x->IsEvenInt(ProjDimensionOfModule(x,33))=true);
W:=[];for i in U do Append(W,[ProjDimensionOfModule(i,33)]);od;
return(Sum(W)/2);
end
);


Created
Nov 23, 2019 at 15:23 by Rene Marczinzik
Updated
Nov 23, 2019 at 15:23 by Rene Marczinzik