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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>3 [1,1,0,0]=>1 [1,0,1,0,1,0]=>3 [1,0,1,1,0,0]=>3 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>4 [1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,0]=>5 [1,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0]=>6 [1,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0]=>5 [1,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,0]=>7 [1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,1,0,0,0]=>6 [1,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>7 [1,0,1,1,1,0,1,1,0,0,0,0]=>3 [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 [1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,1,0,0]=>7 [1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0]=>7 [1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,1,0,1,0,1,1,0,0,1,0,0]=>7 [1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,0,1,1,0,0]=>6 [1,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,1,0,1,1,0,0,1,0,1,0,0]=>7 [1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>6 [1,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,0,0,1,0,0]=>7 [1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0]=>6 [1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0]=>7 [1,1,1,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,0]=>7 [1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,0,0]=>5 [1,1,1,0,1,0,1,0,0,0,1,0]=>7 [1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0,1,0]=>7 [1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,0,0,1,1,0,0,0,0]=>5 [1,1,1,1,0,1,0,0,0,0,1,0]=>6 [1,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,0,0,0,0,0]=>1
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Description
The number of indecomposable injective modules with even projective dimension in the corresponding Nakayama algebra.
Code

DeclareOperation("numberevenprojdiminj", [IsList]);

InstallMethod(numberevenprojdiminj, "for a representation of a quiver", [IsList],0,function(L)


local U,A,injA,W;

A:=L[1];
injA:=IndecInjectiveModules(A);
W:=Filtered(injA,x->IsEvenInt(ProjDimensionOfModule(x,33))=true);
return(Size(W));
end
);
Created
Dec 16, 2019 at 14:09 by Rene Marczinzik
Updated
Dec 16, 2019 at 14:09 by Rene Marczinzik