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Identifier
Values
[1,0] => 0
[1,0,1,0] => 1
[1,1,0,0] => 0
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 1
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,1,0,0,0] => 4
[1,1,1,0,0,0,1,0] => 1
[1,1,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,0,0,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0] => 1
[1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,1,1,0,0,1,1,1,0,0,0,0] => 6
[1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,0,0,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,1,1,0,1,1,0,0,0,0,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 10
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 10
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 7
>>> Load all 127 entries. <<<
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 10
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 12
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 6
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 7
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 9
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 9
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 12
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 8
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
search for individual values
searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
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