Identifier
Identifier
Values
[1,0] generating graphics... => 2
[1,0,1,0] generating graphics... => 2
[1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 6
[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... => 6
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 5
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 6
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 7
click to show generating function       
Description
Number of indecomposable injective modules with projective dimension at most 1.
Code
DeclareOperation("numberindinjwithprojdimatmostk",[IsList]);

InstallMethod(numberindinjwithprojdimatmostk, "for a representation of a quiver", [IsList],0,function(LIST)

local A,k,simA,WW,injA;

A:=LIST[1];
k:=LIST[2];
injA:=IndecInjectiveModules(A);
WW:=Filtered(injA,x->ProjDimensionOfModule(x,30)<=k);
return(Size(WW));
end);

Created
May 12, 2018 at 00:42 by Rene Marczinzik
Updated
May 12, 2018 at 00:42 by Rene Marczinzik