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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>2 [1,0,1,0]=>3 [1,1,0,0]=>3 [1,0,1,0,1,0]=>4 [1,0,1,1,0,0]=>4 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>4 [1,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0]=>5 [1,1,1,0,0,0,1,0]=>4 [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]=>5 [1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,0]=>6 [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]=>6 [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]=>6 [1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,1,0,0,0]=>6 [1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,0,0,0]=>6 [1,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,0]=>5 [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]=>6 [1,1,1,0,1,1,0,0,0,0]=>6 [1,1,1,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0]=>5 [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]=>6 [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]=>7 [1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0]=>6 [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]=>7 [1,0,1,0,1,1,0,1,1,0,0,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,0]=>6 [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]=>7 [1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0]=>6 [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]=>7 [1,0,1,1,0,1,0,1,1,0,0,0]=>7 [1,0,1,1,0,1,1,0,0,0,1,0]=>6 [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]=>7 [1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,0]=>5 [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]=>6 [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]=>7 [1,0,1,1,1,1,0,0,0,0,1,0]=>6 [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]=>6 [1,0,1,1,1,1,0,1,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0]=>6 [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]=>6 [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]=>6 [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]=>5 [1,1,0,0,1,1,1,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,0]=>6 [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]=>5 [1,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,1,0,0,1,1,1,0,0,0]=>6 [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]=>7 [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]=>6 [1,1,0,1,0,1,1,0,1,0,0,0]=>7 [1,1,0,1,0,1,1,1,0,0,0,0]=>7 [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]=>5 [1,1,0,1,1,0,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>6 [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]=>6 [1,1,0,1,1,0,1,0,1,0,0,0]=>7 [1,1,0,1,1,0,1,1,0,0,0,0]=>7 [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]=>6 [1,1,0,1,1,1,0,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,0,0]=>7 [1,1,0,1,1,1,1,0,0,0,0,0]=>7 [1,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,1,0,0]=>6 [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]=>6 [1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,0,1,1,1,0,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,1,1,0,1,0,0,0,1,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,0,0]=>7 [1,1,1,0,1,0,1,1,0,0,0,0]=>7 [1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,1,1,0,1,1,0,0,0,1,0,0]=>6 [1,1,1,0,1,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,0]=>7 [1,1,1,0,1,1,1,0,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,1,1,0,0,0,1,1,0,0,0]=>6 [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]=>6 [1,1,1,1,0,0,1,1,0,0,0,0]=>6 [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]=>7 [1,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,1,1,1,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,0,0,1,0,0,0]=>6 [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]=>7
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Description
The number of simple modules with injective dimension at most one or dominant dimension at least one.
Code
DeclareOperation("siminjdomdim1", [IsList]);

InstallMethod(siminjdomdim1, "for a representation of a quiver", [IsList],0,function(L)

local A,RegA,J,simA,U,projA,UU,n;
A:=L[1];
U:=SimpleModules(A);
UU:=Filtered(U,x->InjDimensionOfModule(x,30)<=1 or DominantDimensionOfModule(x,30)>=1);
return(Size(UU));
end
);
Created
Jul 28, 2018 at 16:48 by Rene Marczinzik
Updated
Jul 28, 2018 at 16:48 by Rene Marczinzik