Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 3
[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... => 0
[1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0] generating graphics... => 10
[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... => 2
[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... => 5
[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... => 3
[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... => 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... => 9
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 2
[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... => 0
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[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... => 3
[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... => 0
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[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... => 7
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[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... => 4
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 15
[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... => 2
[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... => 5
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[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... => 3
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[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... => 0
[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... => 1
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[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... => 6
[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... => 2
[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... => 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... => 1
[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... => 7
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[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... => 5
[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... => 4
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 6
[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... => 0
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 14
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 2
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[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... => 6
[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... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 11
[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... => 2
[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... => 5
[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... => 2
[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... => 3
[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... => 1
[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... => 7
[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... => 4
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[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... => 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... => 4
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[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... => 12
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 6
[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... => 10
[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... => 5
[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... => 3
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 5
[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... => 3
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 10
[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... => 2
[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... => 3
[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... => 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... => 2
[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... => 0
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 9
[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... => 11
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 10
[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... => 8
[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... => 5
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 14
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 12
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 9
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 21
click to show generating function       
Description
The dimension of $Ext^{1}(D(A),A)$ of the corresponding LNakayama algebra.
Code
DeclareOperation("DimExt",[IsList]);

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

local M, n, f, N, i, h;

u:=LIST[1];
A:=NakayamaAlgebra(GF(3),u);
projA:=IndecProjectiveModules(A);RegA:=DirectSumOfQPAModules(projA);injA:=IndecInjectiveModules(A);CoRegA:=DirectSumOfQPAModules(injA);
r:=Size(ExtOverAlgebra(CoRegA,RegA)[2]);




return([u,r]);

end);
Created
Aug 25, 2017 at 13:03 by Rene Marczinzik
Updated
Aug 25, 2017 at 13:03 by Rene Marczinzik