Identifier
Identifier
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0] 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... => 5
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 6
[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... => 2
[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... => 4
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[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... => 6
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[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... => 5
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 8
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 8
[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... => 2
[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... => 4
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 10
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 12
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 9
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 12
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 8
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 6
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 0
Description
The number of indecomposable modules with projective dimension 2 for Nakayama algebras with global dimension at most 2.
Code
DeclareOperation("2dimprojoew",[IsList]);

InstallMethod(2dimprojoew, "for a representation of a quiver", [IsList],0,function(LIST)

local A,LL,LL2,U,simA;

A:=LIST[1];
LL:=ARQuiverNak([A]);
U:=Filtered(LL,x->ProjDimensionOfModule(x,30)=2);
return(Size(U));
end);

Created
Aug 08, 2018 at 12:13 by Rene Marczinzik
Updated
Aug 08, 2018 at 12:13 by Rene Marczinzik