Identifier
Identifier
Values
[1,0] generating graphics... => 2
[1,0,1,0] generating graphics... => 4
[1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0] generating graphics... => 8
[1,0,1,0,1,1,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0] generating graphics... => 8
[1,1,0,1,0,1,0,0] generating graphics... => 9
[1,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 10
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 9
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 9
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 9
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 10
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 9
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 10
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 9
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 11
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 12
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 8
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 9
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 10
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 12
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 10
[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... => 12
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 11
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 11
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 12
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 11
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 10
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 12
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 13
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 11
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 10
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 10
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 11
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 12
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 11
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 13
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 14
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 10
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 14
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 8
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 11
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 10
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 10
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 11
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 10
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 11
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 12
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 8
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 12
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 11
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 11
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 12
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 10
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 13
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 12
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 14
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 15
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 13
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 12
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 13
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 14
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 11
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 11
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 10
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 12
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 13
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 13
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 14
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 15
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 12
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 10
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 12
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 13
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 9
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 10
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 9
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 9
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 10
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 11
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 10
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 12
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 13
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 11
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 12
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 12
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 11
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 13
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 14
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 12
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 14
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 15
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 16
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 13
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 11
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 12
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 13
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 14
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 10
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 9
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 10
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 11
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 11
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 12
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 13
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 10
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 12
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 13
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 14
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 15
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 11
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 8
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 9
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 10
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 11
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 12
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 7
click to show generating function       
Description
The number of indecomposable modules in the corresponding Nakayama algebra that have vanishing first Ext-group with the regular module.
Code
DeclareOperation("Ext1countall",[IsList]);

InstallMethod(Ext1countall, "for a representation of a quiver", [IsList],0,function(LIST)

local A,simA,RegA,U,L;
A:=LIST[1];
L:=ARQuiver([A,1000])[2];
RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A));
U:=Filtered(L,x->Size(ExtOverAlgebra(NthSyzygy(x,0),RegA)[2])=0);
return(Size(U));

end);
Created
Jun 20, 2018 at 16:24 by Rene Marczinzik
Updated
Jun 20, 2018 at 16:24 by Rene Marczinzik