Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[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... => 3
[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... => 0
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[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... => 4
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[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... => 5
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[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... => 1
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[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... => 1
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[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... => 4
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[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... => 4
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[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... => 0
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 1
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[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... => 4
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[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... => 5
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[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... => 1
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[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... => 3
[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... => 0
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 1
[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... => 2
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[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... => 4
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[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... => 3
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[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... => 6
click to show generating function       
Description
The number of non-zero radicals of the indecomposable projective modules that have injective dimension and projective dimension at most one.
Code

DeclareOperation("radprojinj", [IsList]);

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

local A,RegA,J,simA,U,projA,UU,n;
A:=L[1];
projA:=IndecProjectiveModules(A);
n:=Size(projA);
RegA:=DirectSumOfQPAModules(projA);
U:=[];for i in [1..n-1] do Append(U,[RadicalOfModule(projA[i])]);od;
UU:=Filtered(U,x->InjDimensionOfModule(x,30)<=1 and ProjDimensionOfModule(x,30)<=1);
return(Size(UU));
end
);

Created
Jul 28, 2018 at 15:43 by Rene Marczinzik
Updated
Jul 28, 2018 at 15:43 by Rene Marczinzik